Chattering-free sliding mode guidance law with impact angle constraint
-
摘要: 考虑到自动驾驶仪的动态延迟问题和攻击角度约束问题,根据寻的导弹拦截逃逸机动目标设计了一种新的无抖振的滑模制导律。首先,对视线角进行三次微分可得到制导系统的状态方程;其次,根据制导系统状态方程设计滑模算法,通过选取满阶终端滑模(TSM)滑动流形避免了TSM的奇异问题,在控制输入的导数项中引入切换函数项进行扰动补偿,有效消除了控制器中的抖振现象;最后,将提出的控制算法应用到制导律的设计中,保证了视线角在有限时间内收敛到期望值。通过与现存的有限时间制导律对比,本文设计的制导律不仅能够补偿自动驾驶仪的动态延迟而且能够有效消除控制器中的抖振现象。数字仿真验证了所提出的控制算法在制导律设计中的有效性。Abstract: Taking into account both the autopilot dynamics and impact angle constraint,a novel chattering-free sliding mode control guidance law for homing missile to intercept a target performing evasive maneuvers was proposed. Firstly, we establish the guidance system state equation by differentiating the line-of-sight (LOS) angle three times. Secondly, a new sliding mode control system is put forward based on guidance system state equation, and we choose full-order TSM (terminal sliding mode)manifold to avoid the singularity of TSM, and introduce the sliding mode switching term compensating the unknown bounded disturbance in the derivative of controller to eliminate the chattering phenomenon. Finally, we apply the new sliding mode control in designing the guidance law, which enforces the LOS angle convergence to desired value in finite time. Compared with the existing finite time guidance laws, this guidance law can not only compensate for the effects of the autopilot lag but also eliminate chattering phenomenon of controller effectively. The numerical simulation verifies the effectiveness of the proposed method in the design of guidance law.
-
Key words:
- guidance law /
- terminal sliding mode /
- chattering-free /
- autopilot lag /
- impact angle constraint
-
[1] UTKIN V,G ULDNER J,SHI J.Sliding mode control in electro-mechanical systems[M]//2nd ed.Automation and Control Engineering Series.Boca Raton,FL:CRC Press,2009:1114-1115. [2] 熊少锋,王卫红, 王森.带攻击角度约束的非奇异快速终端滑模导律[J].控制理论与应用,2014,31(3):269-278. XIONG S F,WANG W H,WANG S.Nonsingular fast terminal sliding-mode guidance with intercept angle constraint[J].Control Theory & Applications,2014,31(3):269-278(in Chinese). [3] 周慧波,宋申民, 刘海坤.具有攻击角约束的非奇异终端滑模导引律设计[J].中国惯性技术学报,2014,22(5):606-618. ZHOU H B,SONG S M,LIU H K.Nonsingular terminal sliding mode guidance law with impact angle constraint[J].Journal of Chinese Inertial Technology,2014,22(5):606-618(in Chinese). [4] KUMAR S R, RAO S,GHOSE D.Sliding mode guidance and control for all-aspect interceptor with terminal angle constraints[J].Journal of Guidance,Control,and Dynamics,2012,35(4): 1230-1246. [5] 孙胜,张华明,周荻. 考虑自动驾驶仪动态特性的终端角度约束滑模导引律[J].宇航学报,2013,34(1):69-78. SUN S,ZHANG H M,ZHOU D.Sliding mode guidance law with autopilot lag for terminal angle constrained trajectories[J].Journal of Astronautics,2013,34(1):69-78(in Chinese). [6] SHTESSEL Y B, SHKOLNIKOV I A,BROWN M D J.An asymptotic second-order smooth sliding mode control[J].Asian Journal of Control,2003,5(4):498-504. [7] ZHANG Z X, LI S H,LUO S.Composite guidance laws based on sliding mode control with impact angle constraint and autopilot lag[J].Transactions of the Institute of Measurement and Control,2013,35(6):764-776. [8] SHTESSEL Y B, SHKOLNIKOV I A,LEVANT A.Smooth second-order sliding modes:Missile guidance application[J].Automatica,2007,43(8):1470-1476. [9] HE S M,LIN D F, WANG J.Continuous second-order sliding mode based impact angle guidance law[J].Aerospace Science and Technology,2015,41:199-208. [10] LEVANT A. Higher-order sliding modes,differentiation and output-feedback control[J].International Journal of Control,2003,76(9/10):924-941. [11] TAL S,MOSHE I, ODED M G.Sliding mode control for integrated missile autopilot guidance[J].Journal of Guidance,Control,and Dynamics,2006,29(2):250-260. [12] SHTESSEI Y B, SHKOLNIKOVB I A,LEVANT A.Guidance and control of missile interceptor using second-order sliding modes[J].IEEE Transactions on Aerospace and Electronic Systems,2009,45:110-124. [13] SHTESSELY B, TOURNES C H.Integrated higher-order sliding mode guidance and autopilot for dual-control missiles[J].Journal of Guidance,Control,and Dynamics,2009,32(1):79-94. [14] WU P,YANG M. Integrated guidance and control design for missile with terminal impact angle constraint based on sliding mode control[J].Journal of Systems Engineering and Electronics.2010,21(4):623-628. [15] SHIMA T. Intercept-angle guidance[J].Journal of Guidance,Control,and Dynamics,2011,34(2):484-492. [16] BHAT S P, BERNSTEIN D S.Geometric homogeneity with applications to finite-time stability[J].Mathematics of Control,Signals and Systems,2005,17(2):101-127. [17] FENG Y, HAN F L,YU X H.Chattering free full-order sliding mode control[J].Automatica,2014,50(4):1310-1314. [18] ZARCHAN P. Tactical and strategic missile guidance[M].3rd ed.Reston:AIAA,1997:11-33,130-134. [19] 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.
点击查看大图
计量
- 文章访问数: 990
- HTML全文浏览量: 177
- PDF下载量: 1889
- 被引次数: 0