Reviews

Review on constraint control in aircraft engines

  • Muxuan PAN ,
  • Sirong LU ,
  • Ke CHENG ,
  • Xiaotao LI
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  • 1.College of Energy and Power Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
    2.Library,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China

Received date: 2024-04-16

  Revised date: 2024-05-17

  Accepted date: 2024-06-24

  Online published: 2024-07-01

Supported by

National Science and Technology Major Project(P2022-DC-V-001-001)

Abstract

Constraint is an inherent nonlinear character of aircraft engines and their associated control systems, wherein constraint control is a critical approach to ensure the security and steady operation of engines. This paper provides a comprehensive review of the state-of-the-art constraint control designs of aircraft engines and prospects for its future development trends as well as the recent advancement of nonlinear system constraint control. Initially, the paper addresses the challenges of constraint control in response to the physical conditions during the aircraft engine’s operation, especially the control design with the state/output constraints and input constraints. Subsequently, the current research on constraint control in aircraft engines is surveyed in detail, and the comparisons of the constraint control approaches between engines and nonlinear systems are performed. Finally, the paper presents the feasible solutions for aircraft engine constraint control by integrating the engine-specific characteristics with the relevant theoretical research, and also outlines the anticipated development trends for the discussed field.

Cite this article

Muxuan PAN , Sirong LU , Ke CHENG , Xiaotao LI . Review on constraint control in aircraft engines[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2024 , 45(23) : 30533 -030533 . DOI: 10.7527/S1000-6893.2024.30533

References

1 姚华. 航空发动机全权限数字电子控制系统[M]. 北京: 航空工业出版社, 2014.
  YAO H. Full authority digital electronic control system for aero-engline[M]. Beijing: Aviation Industry Press, 2014 (in Chinese).
2 王松艳, 孙向宇, 杨胜江, 等. 考虑输入饱和的制导控制一体化设计[J]. 航空学报201738(10): 320897.
  WANG S Y, SUN X Y, YANG S J, et al. Integrated guidance and control design considering input saturation[J]. Acta Aeronautica et Astronautica Sinica201738(10): 320897 (in Chinese).
3 李静, 左斌, 段洣毅, 等. 输入受限的吸气式高超声速飞行器自适应Terminal滑模控制[J]. 航空学报201233(2): 220-233.
  LI J, ZUO B, DUAN M Y, et al. Adaptive terminal sliding mode control for air-breathing hypersonic vehicles under control input constraints[J]. Acta Aeronautica et Astronautica Sinica201233(2): 220-233 (in Chinese).
4 胡庆雷, 李理. 考虑输入饱和与姿态角速度受限的航天器姿态抗退绕控制[J]. 航空学报201536(4): 1259-1266.
  HU Q L, LI L. Anti-unwinding attitude control of spacecraft considering input saturation and angular velocity constraint[J]. Acta Aeronautica et Astronautica Sinica201536(4): 1259-1266 (in Chinese).
5 王磊, 王曦, 何皑, 等. 基于LMI的涡扇发动机抗积分饱和PI控制[J]. 推进技术201031(2): 210-215.
  WANG L, WANG X, HE A, et al. Integral wind-up protection PI control for turbofan engine based on LMI[J]. Journal of Propulsion Technology201031(2): 210-215 (in Chinese).
6 王曦, 覃道亮. 一种基于LMI的航空发动机输出反馈PI控制[J]. 推进技术200425(6): 530-534.
  WANG X, QIN D L. PI output feedback control for aero-engine based on LMI[J]. Journal of Propulsion Technology200425(6): 530-534 (in Chinese).
7 蒋平国, 孙健国. 航空发动机数控系统抗积分器饱和算法研究[J]. 推进技术200627(6): 532-535.
  JIANG P G, SUN J G. Investigation of integrator wind-up protection algorithms in aeroengine digital control system[J]. Journal of Propulsion Technology200627(6): 532-535 (in Chinese).
8 王健康, 张海波, 黄向华, 等. 基于直升机/涡轴发动机综合仿真平台的发动机非线性模型预测控制[J]. 航空学报201233(3): 402-411.
  WANG J K, ZHANG H B, HUANG X H, et al. Nonlinear model predictive control for the engine based on an integrated helicopter/turbo-shaft engine simulation platform[J]. Acta Aeronautica et Astronautica Sinica201233(3): 402-411 (in Chinese).
9 杜宪, 郭迎清, 陈小磊. 基于非线性模型预测控制方法的航空发动机约束管理[J]. 航空动力学报201530(7): 1766-1771.
  DU X, GUO Y Q, CHEN X L. Limit management of aircraft engine based on nonlinear model predictive control method[J]. Journal of Aerospace Power201530(7): 1766-1771 (in Chinese).
10 苗浩洁, 王曦. 某型涡喷发动机模型预测控制研究[C]∥中国航天第三专业信息网第三十九届技术交流会术. 2018.
  MIAO H J, WANG X. Research on model predictive control of a turbojet engine[C]∥ Proceedings of the 3rd JCAP and the 39th APTIS Technical Conference. 2018 (in Chinese).
11 MONTAZERI-GH M, RASTI A, JAFARI A, et al. Design and implementation of MPC for turbofan engine control system[J]. Aerospace Science and Technology201992: 99-113.
12 杨思幸, 鲁峰, 黄金泉. 增广预测模型的航空发动机多变量约束预测控制[J]. 推进技术201940(11): 2579-2586.
  YANG S X, LU F, HUANG J Q. Multivariable constrained model predictive control of aero-engine based on augmented predictive model[J]. Journal of Propulsion Technology201940(11): 2579-2586 (in Chinese).
13 冯川, 杜宪, 杨斌, 等. 基于显式预测控制的涡扇发动机控制器设计[J]. 推进技术202243(6): 332-341.
  FENG C, DU X, YANG B, et al. Design of turbofan engine controller based on explicit predictive control[J]. Journal of Propulsion Technology202243(6): 332-341 (in Chinese).
14 PANG S W, JAFARI S, NIKOLAIDIS T, et al. A novel model-based multivariable framework for aircraft gas turbine engine limit protection control[J]. Chinese Journal of Aeronautics202134(12): 57-72.
15 王健康, 张海波, 黄向华, 等. 基于在线滚动LS-SVR的涡轴发动机混合预测控制[J]. 航空学报201233(10): 1755-1764.
  WANG J K, ZHANG H B, HUANG X H, et al. Hybrid predictive control for turbo-shaft engine based on online sliding LS-SVR[J]. Acta Aeronautica et Astronautica Sinica201233(10): 1755-1764 (in Chinese).
16 KALABI? U V, BUCKLAND J H, COOPER S L, et al. Reference governors for enforcing compressor surge constraints[J]. IEEE Transactions on Control Systems Technology201624(5): 1729-1739.
17 TIAN Y, KOLMANOVSKY I. Reduced order and prioritized reference governors for limit protection in aircraft gas turbine engines[C]∥ AIAA Guidance, Navigation, and Control Conference. Reston: AIAA, 2014.
18 KOLMANOVSKY I, MERILL W. Limit protection in gas turbine engines based on reference and extended command governors[C]?∥ Proceedings of the 50th AIAA/ASME/SAE/ASEE Joint Propulsion Conference. Reston: AIAA, 2014.
19 XU W H, HUANG J Q, QIN J K, et al. Limit protection design in turbofan engine acceleration control based on scheduling command governor[J]. Chinese Journal of Aeronautics202134(10): 67-80.
20 WANG X, ZHAO J, SUN X M. Overshoot-free acceleration of aero-engines: An energy-based switching control method[J]. Control Engineering Practice201647: 28-36.
21 CHEN C, ZHAO J. Switching control of acceleration and safety protection for turbo fan aero-engines based on equilibrium manifold expansion model[J]. Asian Journal of Control201820(5): 1689-1700.
22 CHEN C, ZHAO J, SUI Y F. Tracking-protection-recovery switching control for aero-engines[J]. Journal of the Franklin Institute2018355(1): 1-30.
23 赵颖, 付俊, 赵军. 切换系统的无扰切换控制及其在航空发动机中的应用[J]. 自动化学报202046(10): 2165-2176.
  ZHAO Y, FU J, ZHAO J. Bumpless transfer control for switched systems and its application to aero-engines[J]. Acta Automatica Sinica202046(10): 2165-2176 (in Chinese).
24 朱白彬, 张天宏. 三外涵变循环发动机模式切换控制计划设计[J]. 燃气涡轮试验与研究202134(1): 14-20.
  ZHU B B, ZHANG T H. Design of control schedule of mode transition for triple bypass variable cycle engine[J]. Gas Turbine Experiment and Research202134(1): 14-20 (in Chinese).
25 RICHTER H. Multiple sliding modes with override logic: Limit management in aircraft engine controls[J]. Journal of Guidance, Control, and Dynamics201235(4): 1132-1142.
26 DU X, RICHTER H, GUO Y Q. Multivariable sliding-mode strategy with output constraints for aeroengine propulsion control[J]. Journal of Guidance, Control, and Dynamics201639(7): 1631-1642.
27 杜宪, 郭迎清, 孙浩, 等. 基于滑模控制的航空发动机多变量约束管理[J]. 航空学报201637(12): 3657-3667.
  DU X, GUO Y Q, SUN H, et al. Sliding mode control based multivariable limit management for aircraft engine[J]. Acta Aeronautica et Astronautica Sinica201637(12): 3657-3667 (in Chinese).
28 YU B, KE H W, SHU W J, et al. A novel control scheme for aircraft engine based on sliding mode control with acceleration/deceleration limiter[J]. IEEE Access20197: 3572-3580.
29 YANG S B, WANG X, WANG H N, et al. Sliding mode control with system constraints for aircraft engines[J]. ISA Transactions202098: 1-10.
30 黎克波, 廖选平, 梁彦刚, 等. 基于纯比例导引的拦截碰撞角约束制导策略[J]. 航空学报202041(S2): 724277.
  LI K B, LIAO X P, LI C Y, et al. Guidance strategy with impact angle constraints based on pure proportional navigation[J]. Acta Aeronautica et Astronautica Sinica202041(S2): 724277 (in Chinese).
31 王建晖, 杜泳萍, 邹涛, 等. 输入死区和全状态约束下不确定非线性系统的快速稳定事件触发控制[J]. 控制与决策202439(2): 490-498.
  WANG J H, DU Y P, ZOU T, et al. Fast stability event-triggered control for uncertain nonlinear systems with input dead-zone and full-state constraints[J]. Control and Decision202439(2): 490-498 (in Chinese).
32 万敏,杨山山,黄山山, 等. 全状态约束切换系统的自适应神经网络控制[J]. 空间控制技术与应用202349(1): 40-52.
  WAN M, YANG S S, HUANG S S, et al. Adaptive neural network control for switched systems with full state constraints[J]. Aero-space Control and Application202349(1): 40-52 (in Chinese).
33 WANG L K, ZHANG L, XIE X P, et al. Disturbances rejection for fuzzy systems with time-varying delay and states constraints by applying observer-based invariant set switching[J]. Information Sciences2023651: 119730.
34 XIA X N, ZHANG T P. Robust adaptive quantized DSC of uncertain pure-feedback nonlinear systems with time-varying output and state constraints[J]. International Journal of Robust & Nonlinear Control201828(10): 3357-3375.
35 NGUYEN A T, RATH J, GUERRA T M, et al. Robust set-invariance based fuzzy output tracking control for vehicle autonomous driving under uncertain lateral forces and steering constraints[J]. IEEE Transactions on Intelligent Transportation Systems202122(9): 5849-5860.
36 仲秦, 闫杰, 张晓峰, 等. 受控制量及状态约束的高超声速飞行器姿态控制方法研究[J]. 弹箭与制导学报202040(1): 165-169.
  ZHONG Q, YAN J, ZHANG X F, et al. The research on flight control of hypersonic vehicle constrained by states and control input[J]. Journal of Projectiles, Rockets, Missiles and Guidance202040(1): 165-169 (in Chinese).
37 ZHANG Z Y, ZHAO Q C, SUN K L. A learning-based method for computing control barrier functions of nonlinear systems with control constraints[J]. IEEE Robotics and Automation Letters20238(7): 4259-4266.
38 TEE K P, GE S S, TAY E H. Barrier Lyapunov functions for the control of output-constrained nonlinear systems[J]. Automatica200945(4): 918-927.
39 LIANG X L, GE S S. Zone barrier Lyapunov functions for state constrained systems[J]. IEEE Transactions on Instrumentation and Measurement202372: 3001911.
40 DAI P, YAN B B, HAN T, et al. Barrier Lyapunov function based model predictive control of a morphing waverider with input saturation and full-state constraints[J]. IEEE Transactions on Aerospace and Electronic Systems202359(3): 3071-3081.
41 SUN W, SU S F, WU Y, et al. Adaptive fuzzy control with high-order barrier Lyapunov functions for high-order uncertain nonlinear systems with full-state constraints [J]. IEEE Transactions on Cybernetics202050(8): 3424-3432.
42 JIN X, XU J X. Iterative learning control for output-constrained systems with both parametric and nonparametric uncertainties[J]. Automatica201349(8): 2508-2516.
43 SUN W, SU S F, DONG G W, et al. Reduced adaptive fuzzy tracking control for high-order stochastic nonstrict feedback nonlinear system with full-state constraints[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202151(3): 1496-1506.
44 ZHANG Z C, WU Y Q. Adaptive fuzzy tracking control of autonomous underwater vehicles with output constraints[J]. IEEE Transactions on Fuzzy Systems202129(5): 1311-1319.
45 陈强, 丁科新, 南余荣. 带有输出约束的柔性关节机械臂预设性能自适应控制[J]. 控制与决策202136(2): 387-394.
  CHEN Q, DING K X, NAN Y R. Prescribed performance adaptive control of flexible-joint manipulators with output constraints[J]. Control and Decision202136(2): 387-394 (in Chinese).
46 TIAN D Z, SONG X Y. Addressing complex state constraints in the integral barrier Lyapunov function-based adaptive tracking control[J]. International Journal of Control202396(5): 1202-1209.
47 CHEN Z T, CHEN Q, HE X X, et al. Adaptive backstepping control design for uncertain rigid spacecraft with both input and output constraints[J]. IEEE Access20186: 60776-60789.
48 LIU Y J, LU S M, TONG S C, et al. Adaptive control-based barrier Lyapunov functions for a class of stochastic nonlinear systems with full state constraints[J]. Automatica201887: 83-93.
49 CRUZ-ORTIZ D, CHAIREZ I, POZNYAK A. Sliding-mode control of full-state constraint nonlinear systems: A barrier Lyapunov function approach[J]. IEEE Transactions on Systems, Man, and Cybernetics: Systems202252(10): 52606.
50 ZHANG L L, ZHU L C, HUA C C, et al. Adaptive decentralized control for interconnected time-delay uncertain nonlinear systems with different unknown control directions and deferred full-state constraints[J]. IEEE Transactions on Neural Networks and Learning Systems202334(12): 10789-10801.
51 ZHOU Y, DONG W H, LIU Z C, et al. IBLF-based fixed-time fault-tolerant control for fixed-wing UAV with guaranteed time-varying state constraints[J]. IEEE Transactions on Vehicular Technology202372(4): 4252-4266.
52 郭涛, 王丁磊, 王爱民. 基于非线性映射的约束系统自适应反推控制[J]. 自动化学报201339(9): 1558-1563.
  GUO T, WANG D L, WANG A M. Adaptive backstepping control for constrained systems using nonlinear mapping[J]. Acta Automatics Sinica201339(9): 1558-1563 (in Chinese).
53 ZHANG J M, NIU B, WANG D, et al. Adaptive neural control of nonlinear nonstrict feedback systems with full-state constraints: A novel nonlinear mapping method[J]. IEEE Transactions on Neural Networks and Learning Systems202334(2): 999-1007.
54 张天平, 邓伟伟, 吴自文, 等. 具有全状态约束和未建模动态的严格反馈系统有限时间自适应动态面控制[J]. 控制与决策202237(1): 108-118.
  ZHANG T P, DENG W W, WU Z W, et al. Finite-time adaptive dynamic surface control for strict-feedback systems with full state constraints and unmodeled dynamics[J]. Control and Decision202237(1): 108-118 (in Chinese).
55 WEI Y, LUO J, YAN H C, et al. Event-triggered adaptive finite-time control for nonlinear systems under asymmetric time-varying state constraints[J]. Frontiers of Information Technology & Electronic Engineering202122(12): 1610-1624.
56 MENG W C, YANG Q M, SI J, et al. Adaptive neural control of a class of output-constrained nonaffine systems[J]. IEEE Transactions on Cybernetics201646(1): 85-95.
57 XU Y F, ZHANG Y H, CHEN S J, et al. Adaptive fuzzy tracking control for stochastic nonlinear systems with full-state constraints[J]. International Journal of Fuzzy Systems202426(6): 1840-1851.
58 ZHAO K, SONG Y D. Removing the feasibility conditions imposed on tracking control designs for state-constrained strict-feedback systems[J]. IEEE Transactions on Automatic Control201964(3): 1265-1272.
59 ZHAO K, SONG Y D. Tracking control of MIMO nonlinear systems under full state constraints[J]. Automatica2019107: 52-60.
60 HUA Y, ZHANG T P. Adaptive control of pure-feedback nonlinear systems with full-state time-varying constraints and unmodeled dynamics[J]. International Journal of Adaptive Control and Signal Processing202034(2): 183-198.
61 LI Y X. Finite time command filtered adaptive fault tolerant control for a class of uncertain nonlinear systems[J]. Automatica2019106: 117-123.
62 JIN X. Adaptive fixed-time control for MIMO nonlinear systems with asymmetric output constraints using universal barrier functions[J]. IEEE Transactions on Automatic Control201964(7): 3046-3053.
63 ZHANG Y, WANG F, ZHANG J. Adaptive finite-time tracking control for output-constrained nonlinear systems with non-strict-feedback structure[J]. International Journal of Adaptive Control and Signal Processing202034(4): 560-574.
64 张勤, 马费成. 国外知识管理研究范式: 以共词分析为方法[J]. 管理科学学报200710(6): 65-75.
  ZHANG Q, MA F C. On paradigm of research knowledge management: a bibliometric analysis[J]. Journal of Management Sciences in China200710(6): 65-75 (in Chinese).
65 张斌. 共词网络的结构与演化:概念与理论进展[J]. 情报杂志201433(7): 103-109.
  ZHANG B. Structure and evolution of co-word network: Concept and research review[J]. Journal of Intelligence201433(7): 103-109 (in Chinese).
66 ZHOU J. Adaptive neural network control of uncertain nonlinear plants with input saturation[C]?∥ 2009 Chinese Control and Decision Conference. Piscataway: IEEE Press, 2009: 23-28.
67 YANG W, WANG Q G, LIU J P, et al. Actor–critic-based predefined-time fuzzy adaptive optimal control for uncertain nonlinear systems with input saturation[J]. IEEE Transactions on Fuzzy Systems202432(4): 2448-2457.
68 陈子聪, 王林, 刘建圻, 等. 带输入饱和的不确定非线性系统自适应模糊触发式补偿控制[J]. 控制与决策202136(12): 3007-3014.
  CHEN Z C, WANG L, LIU J Q, et al. Adaptive fuzzy trigger compensation control for uncertain nonlinear system with input saturation[J]. Control and Decision202136(12): 3007-3014 (in Chinese).
69 CHENG W D, XUE H, LIANG H J, et al. Prescribed performance adaptive fuzzy control of stochastic nonlinear multi-agent systems with input hysteresis and saturation[J]. International Journal of Fuzzy Systems202224(1): 91-104.
70 YAN X H, CHEN M, FENG G, et al. Fuzzy robust constrained control for nonlinear systems with input saturation and external disturbances[J]. IEEE Transactions on Fuzzy Systems202129(2): 345-356.
71 SHAO S Y, CHEN M, YAN X H. Prescribed performance synchronization for uncertain chaotic systems with input saturation based on neural networks[J]. Neural Computing and Applications201829(12): 1349-1361.
72 XIA K W, ZOU Y. Adaptive saturated fault-tolerant control for spacecraft rendezvous with redundancy thrusters[J]. IEEE Transactions on Control Systems Technology202129(2): 502-513.
73 LI N, DU Y, WANG D M, et al. Adaptive decentralized prescribed performance control for a class of large-scale stochastic nonlinear systems subject to input saturation and full state constraints[J]. International Journal of Adaptive Control and Signal Processing202337(9): 2451-2471.
74 吴伟, 王昕, 王振雷. 输入饱和的非线性系统多模型二阶段自适应控制器设计[J]. 控制理论与应用202037(5): 1166-1177.
  WU W, WANG X, WANG Z L. Design of multiple-model second level adaptive controller for a class of asymmetric saturation actuators nonlinear system[J]. Control Theory & Applications202037(5): 1166-1177 (in Chinese).
75 CHEN H T, SONG S M, ZHU Z B. Robust finite-time attitude tracking control of rigid spacecraft under actuator saturation[J]. International Journal of Control, Automation and Systems201816(1): 1-15.
76 GAO S H, JING Y W, LIU X P, et al. Finite-time attitude-tracking control for rigid spacecraft with actuator failures and saturation constraints[J]. International Journal of Robust and Nonlinear Control202030(5): 1903-1937.
77 XU J Q, CHEN Y H, GUO H. Robust levitation control for maglev systems with guaranteed bounded airgap[J]. ISA Transactions201559: 205-214.
78 YIN H, CHEN Y H, YU D J. Vehicle motion control under equality and inequality constraints: A diffeomorphism approach[J]. Nonlinear Dynamics201995(1): 175-194.
79 LI C M, ZHAO H, SUN H, et al. Robust bounded control for nonlinear uncertain systems with inequality constraints[J]. Mechanical Systems and Signal Processing2020140: 106665.
80 ZHU Z C, ZHAO H, SUN H, et al. Diffeomorphism-based robust bounded control for permanent magnet linear synchronous motor with bounded input and position constraints[J]. IEEE Transactions on Industrial Informatics202319(4): 5387-5399.
81 LU S R, PAN M X, CHENG K, et al. A new saturation control for uncertain system using diffeomorphism approach: Application to turbofan engine[J]. IEEE Transactions on Industrial Informatics202420(16): 8861-8872.
82 严路, 何汉林, 江梅. 可状态反馈线性化系统静态抗饱和设计[J]. 华中科技大学学报(自然科学版)201442(9): 14-18.
  YAN L, HE H L, JIANG M. Static anti-windup design for state feedback linearizable systems[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition)201442(9): 14-18 (in Chinese).
83 彭程, 白越, 乔冠宇. 共轴八旋翼无人飞行器的偏航静态抗饱和补偿控制[J]. 机器人201840(2): 240-248.
  PENG C, BAI Y, QIAO G Y. Static anti-windup compensation control of yaw movement for a coaxial eight-rotor UAV[J]. Robot201840(2): 240-248 (in Chinese).
84 GENG X P, LIU T, HAO S L, et al. Anti-windup design of active disturbance rejection control for sampled systems with input delay[J]. International Journal of Robust and Nonlinear Control202030(3): 1311-1327.
85 GHIGNONI P, BURATTI N, INVERNIZZI D, et al. Anti-windup design for directionality compensation with application to quadrotor UAVs[J]. IEEE Control Systems Letters20215(1): 331-336.
86 HAO S L, LIU T, GENG X P, et al. Anti-windup ADRC design for temperature control systems with output delay against asymmetric input constraint[J]. ISA Transactions2023137: 519-530.
87 高阳, 吴文海, 王子健. 具有输入约束和输出噪声的不确定系统级联线性自抗扰控制[J]. 自动化学报202248(3): 843-852.
  GAO Y, WU W H, WANG Z J. Cascaded linear active disturbance rejection control for uncertain systems with input constraint and output noise[J]. Acta Automatica Sinica202248(3): 843-852 (in Chinese).
88 WANG Y J, ZHAO R, ZUO Z Q, et al. Event-triggered dynamic anti-windup augmentation for saturated systems[J]. International Journal of Solids and Structures202152(1): 196-216.
89 SADALLA T, HORLA D, GIERNACKI W, et al. Dynamic anti-windup compensator for fractional-order system with time-delay[J]. Asian Journal of Control202022(5): 1767-1781.
90 郑重, 李鹏, 钱默抒. 具有角速度和输入约束的航天器姿态协同控制[J]. 自动化学报202147(6): 1444-1452.
  ZHENG Z, LI P, QIAN M S. Spacecraft attitude coordination control with angular velocity and input constraints[J]. Acta Automatica Sinica202147(6): 1444-1452 (in Chinese).
91 陈正升, 王雪松, 程玉虎. 考虑扰动与饱和输入的机械臂连续非奇异快速终端滑模控制[J]. 控制与决策202237(4): 903-912.
  CHEN Z S, WANG X S, CHENG Y H. Continuous non-singular fast terminal sliding mode control of robotic manipulators considering disturbance and input saturation[J]. Control and Decision202237(4): 903-912 (in Chinese).
92 TIAN L, XU S J. Attitude control considering variable input saturation limit for a spacecraft equipped with flywheels[J]. Chinese Journal of Aeronautics201225(3): 437-445.
93 LU S K, WANG X C, LI Y N. Adaptive neural network finite-time command filtered tracking control of fractional-order permanent magnet synchronous motor with input saturation[J]. Journal of the Franklin Institute2020357(18): 13707-13733.
94 ZHAO Z Q, ZHENG Z W, ZHU M, et al. Adaptive fault tolerant attitude tracking control for a quadrotor with input saturation and full-state constraints[C]?∥ 2017 13th IEEE International Conference on Control & Automation (ICCA). Piscataway: IEEE Press, 2017: 46-51.
95 SONG M S, ZHANG F, HUANG B X, et al. Adaptive safe control for tethered aircrafts with input and output constraints[J]. International Journal of Robust and Nonlinear Control202333(17): 10716-10741.
96 王元慧, 李子宜, 张潇月, 等. 考虑输入饱和的锚泊辅助动力定位滑模控制[J]. 哈尔滨工程大学学报202142(7): 1048-1055.
  WANG Y H, LI Z Y, ZHANG X Y, et al. Sliding mode control of thruster-assisted mooring positioning with input saturation[J]. Journal of Harbin Engineering University202142(7): 1048-1055 (in Chinese).
97 LIU J H, LIU Z Q. Finite-time block backstepping control for rudder roll stabilization with input constraints[J]. Ocean Engineering2024295: 116989.
98 TAO G, KOKOTOVIC P V. Adaptive control of plants with unknown dead-zones[J]. IEEE Transactions on Automatic Control199439(1): 59-68.
99 GU W W, YAO J Y, YAO Z K, et al. Robust adaptive control of hydraulic system with input saturation and valve dead-zone[J]. IEEE Access20186: 53521-53532.
100 WANG L X, ZHAO D X, LIU F C, et al. Active disturbance rejection position synchronous control of dual-hydraulic actuators with unknown dead-zones[J]. Sensors202020(21): 6124.
101 卓书芳, 黄宴委, 何用辉, 等. 未知不对称死区补偿方法在三轴微机电陀螺控制中的应用[J]. 山东理工大学学报(自然科学版)202034(5): 57-63.
  ZHUO S F, HUANG Y W, HE Y H, et al. An unknown asymmetry dead-zone compensation method for MEMS triaxial gyroscope control design[J]. Journal of Shandong University of Technology (Natural Science Edition)202034(5): 57-63 (in Chinese).
102 郑大明, 方诚. 考虑未知死区输入的船舶鲁棒自适应动力定位控制[J]. 中国航海202144(2): 21-26.
  ZHENG D M, FANG C. Robust adaptive dynamic positioning control for marine ships with unknown dead-zone input[J]. Navigation of China202144(2): 21-26 (in Chinese).
103 ZHANG J, TONG S C. Adaptive fuzzy output feedback FTC for nonstrict-feedback systems with sensor faults and dead zone input[J]. Neurocomputing2021435: 67-76.
104 GUO Y, YU C Y, XIANG X B, et al. PELOS-based path following control for autonomous underwater vehicle with input saturation and dead-zone[J]. Ocean Engineering2024296: 116956.
105 JUNG D, JEON J. Synchronous control of 2-D.O.F master-slave manipulators using actuators with asymmetric nonlinear dead-zone characteristics[J]. IEEE Access202210: 22782-22794.
106 WANG X J, WANG S P. Adaptive fuzzy robust control of PMSM with smooth inverse based dead-zone compensation[J]. International Journal of Control, Automation and Systems201614(2): 378-388.
107 WEI J H, LIU Y J, CHEN H, et al. Fuzzy adaptive control for vehicular platoons with constraints and unknown dead-zone input[J]. IEEE Transactions on Intelligent Transportation Systems202324(4): 4403-4412.
108 WANG X S, SU C Y, HONG H. Robust adaptive control of a class of nonlinear systems with unknown dead-zone[C]?∥ Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228). Piscataway: IEEE Press, 2002: 1627-1632.
109 IBRIR S, XIE W F, SU C Y. Adaptive tracking of nonlinear systems with non-symmetric dead-zone input[J]. Automatica200743(3): 522-530.
110 李冬柏, 陈健, 陈雪芹, 等. 带有输入死区的航天器姿态有限时间控制[J]. 哈尔滨工业大学学报201850(4): 21-27.
  LI D B, CHEN J, CHEN X Q, et al. Finite-time attitude control of spacecrafts with input dead-zone nonlinearities[J]. Journal of Harbin Institute of Technology201850(4): 21-27 (in Chinese).
111 SU H, ZHANG W H. Adaptive fuzzy control of MIMO nonlinear systems with fuzzy dead zones[J]. Applied Soft Computing201980: 700-711.
112 DING L, LI S, GAO H B, et al. Adaptive neural network-based finite-time online optimal tracking control of the nonlinear system with dead zone[J]. IEEE Transactions on Cybernetics202151(1): 382-392.
113 王源庆, 张桂臣, 施祝斌, 等. 未知死区输入非线性系统的双观测器动态面控制[J]. 控制理论与应用202138(3): 407-415.
  WANG Y Q, ZHANG G C, SHI Z B, et al. Robust simultaneous formation tracking and stabilization of nonholonomic wheeled mobile robots[J]. Control Theory & Applications202138(3): 407-415 (in Chinese).
114 SHAHRIARI-KAHKESHI M, AFRUSH A, PHAM V T. Adaptive consensus control of high-order uncertain nonlinear multi-agent systems with fuzzy dead-zone[J]. International Journal of Fuzzy Systems202123(3): 743-754.
115 CHEN Y, MA Q. Distributed Nash equilibrium seeking for games in systems with non-symmetric dead-zone inputs[J]. IEEE Transactions on Network Science and Engineering202411(3): 3213-3221.
116 WANG N, WANG Y, PARK J H, et al. Fuzzy adaptive finite-time consensus tracking control of high-order nonlinear multi-agent networks with dead zone[J]. Nonlinear Dynamics2021106(4): 3363-3378.
117 KEBRIAEI H, JAVAD YAZDANPANAH M. Robust adaptive synchronization of different uncertain chaotic systems subject to input nonlinearity[J]. Communications in Nonlinear Science and Numerical Simulation201015(2): 430-441.
118 方洁, 邓玮, 姜长生, 等. 具有扇区非线性输入的混沌系统函数投影同步[J]. 系统工程与电子技术201234(9): 1872-1877.
  FANG J, DENG W, JIANG C S, et al. Function projective synchronization of chaotic system with sector nonlinear input[J]. Systems Engineering and Electronics201234(9): 1872-1877 (in Chinese).
119 方洁, 江泳, 姜长生. 具有未知扇区非线性输入的混沌系统修正投影同步[J]. 应用基础与工程科学学报201321(2): 379-390.
  FANG J, JIANG Y, JIANG C S. Modified projective synchronization of chaotic systems with unknown sector nonlinear input[J]. Journal of Basic Science and Engineering201321(2): 379-390 (in Chinese).
120 BOUBELLOUTA A, ZOUARI F, BOULKROUNE A. Intelligent fuzzy controller for chaos synchronization of uncertain fractional-order chaotic systems with input nonlinearities[J]. International Journal of General Systems201948(3): 211-234.
121 YANG C H, WANG K C, WU L, et al. State synchronization for a class of n-dimensional nonlinear systems with sector input nonlinearity via adaptive two-stage sliding mode control[J]. Mathematical Problems in Engineering20202020: 5391984.
122 BOULKROUNE A, M’SAAD M, FARZA M. Adaptive fuzzy controller for multivariable nonlinear state time-varying delay systems subject to input nonlinearities[J]. Fuzzy Sets and Systems2011164(1): 45-65.
123 马苗苗,崔婧,李钰梅, 等.风电介入下的多区域互联电力系统分布式经济模型预测负荷频率控制[J]. 控制与决策202439(5): 1557-1565.
  MA M M, CUI J, LI Y M, et al. Distributed economic model predictive load frequency control for the multi-area interconnected power system with wind power integration[J]. Control and Decision202439(5): 1557-1565 (in Chinese).
124 彭谦,郭建国,郭宗易, 等. 多约束多输入拦截器姿轨一体化复合控制[J]. 系统工程与电子技术202345(3): 806-813.
  PENG Q, GUO J Y, GUO Z Y, et al. Multi-constraint multi-input interceptor integrated attitude and trajectory compound control[J]. Systems engineering and Electronics202345(3): 806-813 (in Chinese).
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