考虑视场角约束的碰撞角控制预设性能制导律
收稿日期: 2023-03-30
修回日期: 2023-04-24
录用日期: 2023-05-15
网络出版日期: 2023-05-17
基金资助
国家自然科学基金(12002370)
Prescribed performance guidance law with field-of-view and impact angle constraints
Received date: 2023-03-30
Revised date: 2023-04-24
Accepted date: 2023-05-15
Online published: 2023-05-17
Supported by
National Natural Science Foundation of China(12002370)
针对导弹打击非机动目标问题，提出一种基于预设性能控制理论且满足导引头视场角约束的碰撞角控制制导律。首先，设计一种预设时间性能函数，以实现对跟踪误差收敛时间和上下界的直接设置，并通过误差转换，将该性能边界约束下的跟踪误差控制问题转化为无约束稳定控制问题；其次，采用纯比例导引项加偏置项的制导模型，基于最优误差动力学方法设计偏置制导项，以控制转换误差使其有界，并保证跟踪误差总在性能边界内收敛，从而实现终端碰撞角约束；进一步基于所提制导律，对性能函数中的参数进行深入分析，给出合理取值范围；然后考虑导引头视场受限情况以及移动目标场景，分别引入辅助函数和预测命中点概念对制导律进行改进，以实现视场角约束与打击移动目标的拓展。最后通过数值仿真，验证了所提制导律的有效性。
李昊键 , 刘远贺 , 梁彦刚 , 黎克波 . 考虑视场角约束的碰撞角控制预设性能制导律[J]. 航空学报, 2023 , 44(15) : 528764 -528764 . DOI: 10.7527/S1000-6893.2023.28764
To address the problem of guided missiles against non-maneuvering targets， a prescribed performance guidance law with seeker Field-of-View （FOV） and impact angle constraints is proposed. Firstly， a prescribed time performance function is designed to enable direct setting of the convergence time， the upper and lower bounds of the tracking error. Through error transformation， the tracking error control problem under performance boundary constraints is transformed into an unconstrained stable control problem. Secondly， the guidance law is designed as the sum of a pure proportional guidance term and a bias term. The bias term is derived based on the optimal error dynamics method to control the transformation error within a bound， ensure that the tracking error consistently converges within the performance boundary， and ultimately achieve terminal impact angle constraint. Furthermore， based on the proposed guidance law， the in-depth analysis of the parameters in the performance function is conducted， and reasonable parameters ranges are provided. Moreover， considering seeker FOV limitation and moving target scenario， an auxiliary function and the predicted interception point concept are introduced to improve the guidance law respectively， which realize the FOV constraint and the extension of proposed law against moving target. Finally， the effectiveness of the proposed guidance law is verified through numerical simulations.
| 1 | KIM M， GRIDER K. Terminal guidance for impact attitude angle constrained flight trajectories［J］. IEEE Transactions on Aerospace and Electronic Systems， 1973， AES-9（6）： 852-859. |
| 2 | RYOO C K， TAHK M J. Time-to-go weighted optimal guidance with impact angle constraints［J］. IEEE Transactions on Control Systems Technology， 2006， 14（3）： 483-492. |
| 3 | LI R， WEN Q Q， TAN W C. Adaptive weighting impact angle optimal guidance law considering seeker’s FOV angle constraints［J］. Journal of Systems Engineering and Electronics， 2018， 29（1）： 142-151. |
| 4 | KIM J， CHO S. Optimal guidance law for impact angle and acceleration constraints with time-varying gains［J］. International Journal of Aeronautical and Space Sciences， 2022， 23（3）： 609-621. |
| 5 | KUMAR S R， RAO S， GHOSE D. Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints［J］. Journal of Guidance， Control， and Dynamics， 2012， 35（4）： 1230-1246. |
| 6 | BISWAS B， KUMAR S R， MAITY A. Three-dimensional nonlinear impact angle guidance for maneuvering targets［J］. IFAC-PapersOnLine， 2018， 51（1）： 47-52. |
| 7 | KIM H G， KIM H J. All-aspect guidance with impact angle constraint against unknown target maneuver［J］. IEEE Transactions on Aerospace and Electronic Systems， 2019， 55（2）： 830-845. |
| 8 | ZHOU Z M， YAO X X. Polynomial guidance law for impact angle control with a seeker look angle limit［J］. Proceedings of the Institution of Mechanical Engineers， Part G： Journal of Aerospace Engineering， 2020， 234（3）： 857-870. |
| 9 | HU Q L， CAO R H， HAN T， et al. Field-of-view limited guidance with impact angle constraint and feasibility analysis［J］. Aerospace Science and Technology， 2021， 114： 106753. |
| 10 | FU S N， ZHOU G Q， XIA Q L. A trajectory shaping guidance law with field-of-view angle constraint and terminal limits［J］. Journal of Systems Engineering and Electronics， 2022， 33（2）： 426-437. |
| 11 | 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， 2020， 41（S2）： 724277. |
| LI K B， LIAO X P， LIANG Y G， et al. Guidance strategy with impact angle constraint based on pure proportional navigation［J］. Acta Aeronautica et Astronautica Sinica， 2020， 41（S2）： 724277 （in Chinese）. | |
| 12 | SHIN H S， Li K B. An improvement in three-dimensional pure proportional navigation guidance［J］. IEEE Transactions on Aerospace and Electronic Systems， 2021， 57（5）： 3004-3014. |
| 13 | LI K B， SHIN H S， TSOURDOS A， et al. Performance of 3-D PPN against arbitrarily maneuvering target for homing phase［J］. IEEE Transactions on Aerospace and Electronic Systems， 2020， 56（5）： 3878-3891. |
| 14 | LI K B， SHIN H S， TSOURDOS A， et al. Capturability of 3D PPN against lower-speed maneuvering target for homing phase［J］. IEEE Transactions on Aerospace and Electronic Systems， 2020， 56（1）： 711-722. |
| 15 | KIM B S， LEE J G， HAN H S. Biased PNG law for impact with angular constraint［J］. IEEE Transactions on Aerospace and Electronic Systems， 1998， 34（1）： 277-288. |
| 16 | ERER K S， MERTTOP?UO?LU O. Indirect impact-angle-control against stationary targets using biased pure proportional navigation［J］. Journal of Guidance， Control， and Dynamics， 2012， 35（2）： 700-704. |
| 17 | KIM T H， PARK B G， TAHK M J. Bias-shaping method for biased proportional navigation with terminal-angle constraint［J］. Journal of Guidance， Control， and Dynamics， 2013， 36（6）： 1810-1816. |
| 18 | 闫梁， 赵继广， 沈怀荣， 等. 带末端碰撞角约束的三维联合偏置比例制导律设计［J］. 航空学报， 2014， 35（7）： 1999-2010. |
| YAN L， ZHAO J G， SHEN H R， et al. Three-dimensional united biased proportional navigation guidance law for interception of targets with angular constraints ［J］. Acta Aeronautica et Astronautica Sinica， 2014， 35（7）： 1999-2010 （in Chinese）. | |
| 19 | XU X Y， LIANG Y. Biased optimal guidance law with specified velocity rendezvous angle constraint［J］. The Aeronautical Journal， 2015， 119（1220）： 1287-1299. |
| 20 | LEE C H， KIM T H， TAHK M J. Interception angle control guidance using proportional navigation with error feedback［J］. Journal of Guidance， Control， and Dynamics， 2013， 36（5）： 1556-1561. |
| 21 | HE S M， LEE C H. Optimality of error dynamics in missile guidance problems［J］. Journal of Guidance， Control， and Dynamics， 2018， 41（7）： 1624-1633. |
| 22 | 李斌， 林德福， 何绍溟， 等. 基于最优误差动力学的时间角度控制制导律［J］. 航空学报， 2018， 39（11）： 322215. |
| LI B， LIN D F， HE S M， et al. Time and angle control guidance law based on optimal error dynamics［J］. Acta Aeronautica et Astronautica Sinica， 2018， 39（11）： 322215 （in Chinese）. | |
| 23 | LI H Y， WANG J， HE S M， et al. Nonlinear optimal impact-angle-constrained guidance with large initial heading error［J］. Journal of Guidance， Control， and Dynamics， 2021， 44（9）： 1663-1676. |
| 24 | WANG C Y， DONG W， WANG J N， et al. Guidance law design with fixed-time convergent error dynamics［J］. Journal of Guidance， Control， and Dynamics， 2021， 44（7）： 1389-1398. |
| 25 | CHENG Z T， WU H， WANG B， et al. Fixed-time convergent guidance law with impact angle control［J］. Complexity， 2020， 2020： 1-9. |
| 26 | SONG Y D， WANG Y J， HOLLOWAY J， et al. Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time［J］. Automatica， 2017， 83： 243-251. |
| 27 | PAL A K， KAMAL S， NAGAR S K， et al. Design of controllers with arbitrary convergence time［J］. Automatica， 2020， 112： 108710. |
| 28 | BECHLIOULIS C P， ROVITHAKI G A. Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems［J］. Automatica， 2009， 45（2）： 532-538. |
| 29 | LI X， YE J K， ZHOU C J， et al. Prescribed performance guidance law with multiple constraints［J］. International Journal of Aerospace Engineering， 2022， 2022： 1-17. |
| 30 | LYU S， YAN X D， TANG S. Prescribed performance interceptor guidance with terminal line of sight angle constraint accounting for missile autopilot lag［J］. Aerospace Science and Technology， 2017， 69： 171-180. |
| 31 | LYU S， ZHU Z H， TANG S， et al. Prescribed performance slide mode guidance law with terminal line-of-sight angle constraint against maneuvering targets［J］. Nonlinear Dynamics， 2017， 88（3）： 2101-2110. |
| 32 | BU X W， QI Q， JIANG B X. A Simplified finite-time fuzzy neural controller with prescribed performance applied to waverider aircraft［J］. IEEE Transactions on Fuzzy Systems， 2022， 30（7）： 2529-2537. |
| 33 | 李旭， 叶继坤， 邵雷， 等. 基于有限时间小超调预设性能控制的三维滑模末制导律设计［J］. 航空兵器，2022 （in press）. |
| LI X， YE J K， SHAO L， et al. Design of three dimensional sliding mode terminal guidance law based on finite-time and small-overshoot prescribed performance control［J］. Aero Weaponry， 2022 （in press） （in Chinese）. | |
| 34 | HE S M， LEE C H， SHIN H S， et al. Optimal guidance and its applications in missiles and UAVs［M］. Cham： Springer International Publishing， 2020： 54-58. |
| 35 | ZHANG W J， FU S N， LI W， et al. An impact angle constraint integral sliding mode guidance law for maneuvering targets interception［J］. Journal of Systems Engineering and Electronics， 2020，31（1）： 168-184. |
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