针对扰动环境下的导弹飞行控制问题提出一种基于H∞最优化与层次结构动态逆(HSDI)的鲁棒非线性控制方法。设计层次结构动态逆控制器时将层次结构优化为3层,并按照时标分离的思想调整了各层次的状态变量,使得控制器更为简洁。在此基础上,将层次结构动态逆控制器与导弹6自由度(DOF)非线性模型联合作为H∞控制的广义被控对象,通过引入二自由度H∞最优化理论并重构广义被控对象的状态变量设计了H∞鲁棒控制器。闭环系统的奇异值分析和对某型有翼导弹进行的6自由度飞行仿真表明,所设计的飞行控制器具有良好的指令跟踪和抗干扰能力。
A nonlinear flight controller design using H∞ optimization and hierarchy-structured dynamic inversion(HSDI)is proposed for a winged missile with disturbance considered. The structure of HSDI is reduced to three layers according to their time-scales and variables are recategorized to simplify the HSDI controller design. Then, the HSDI controller and the nonlinear 6 degrees-of-freedom(DOF)dynamic model of the researched missile are used to compose the generalized plant. More-over, the state variables of plant are rearranged. And a 2 DOF H∞ control structure is also introduced to enhance robustness performance. The analysis of close-loop system singular values and nonlinear 6 DOF flight simulation results presented in the paper demonstrate the good tracking performance and disturbance rejection of the designed flight controller.
[1] Meyer G, Su R, Hunt L R. Application of nonlinear transformations to automatic flight control[J]. Automatica, 1984, 20(1): 103-107.
[2] Schumacher C, Khargonekar P P. Missile autopilot designs using H∞ control with gain scheduling and dynamic inversion[J]. Journal of Guidance, Control, and Dynamics, 1998, 21(2): 234-243.
[3] Georgie J, Valasek J. Selection of longitudinal desired dynamic for dynamic inversion controlled re-entry vehicles. AIAA-2001-4382, 2001.
[4] Perhinschi M G, Napolitano M R, Campa G. A simulation environment for testing and research of neurally augmented fault tolerant control laws based on non-linear dynamic inversion. AIAA-2004-4913, 2004.
[5] 陈海兵, 张曙光, 方振平. 加速度反馈的隐式动态逆鲁棒非线性控制律设计[J]. 航空学报, 2009, 30(4): 597-603. Chen Haibing, Zhang Shuguang, Fang Zhenping. Implicit NDI robust nonlinear control design with acceleration feedback[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30(4): 597-603. (in Chinese)
[6] Kawaguchi J, Miyazawa Y, Ninomiya T. Flight control law design with hierarchy-structured dynamic inversion approach. AIAA-2008-6959, 2008.
[7] Kawaguchi J, Miyazawa Y, Ninomiya T. Stochastic evalu-ation and optimization of the hierarchy-structured dynamic inversion flight control. AIAA-2009-6175, 2009.
[8] Zames G. Feedback and optimal sensitivity: model reference transformations, multiplicative seminorms, and approximate inverses[J]. IEEE Transactions on Automatic Control, 1981, 26(2): 301-320.
[9] Kung C. Nonlinear H∞ robust control applied to F-16 aircraft with mass uncertainty using control surface inverse algorithm[J]. Journal of the Franklin Institute, 2008, 345(8): 851-876.
[10] Bufinton J M, Sparks A G, Banda S S. Robust longitudinal axis flight control for an aircraft with thrust vectoring[J]. Automatica, 1994, 30(10): 1527-1540.
[11] Lee H, Hwang H. Two-degree-of-freedom robust control of a seeker scan loop system. AIAA-1996-3911, 1996.
[12] Sadraey M H. Design of a nonlinear robust controller for a complete unmanned aerial vehicle mission. Kansas: University of Kansas, 2005.
[13] Stevens B L, Lewis F L. Aircraft control and simulation[M]. 2nd ed. New York: John Wiley & Sons, 2003.
[14] Das A. Nonlinear design of 3-axes autopilot for short range skid-to-turn surface-to-surface homing missiles. Kharagpur: Indian Institute of Technology, 2006.
[15] Reiner J, Balas G J, Garrard W L. Flight control design using robust dynamic inversion and time-scale separation[J]. Automatica, 1996, 32(11): 1493-1504.