高超声速飞行器有限时间饱和跟踪控制  

Finite-time tracking control of the hypersonic vehicle with input saturation

作　　者：孙经广 宋申民[1] 陈海涛 李学辉[1] 

机构地区：[1]哈尔滨工业大学控制理论与制导技术研究中心,黑龙江哈尔滨150001

出　　处：《控制理论与应用》2017年第10期1349-1360,共12页Control Theory & Applications

基　　金：国家自然科学基金面上项目(61174037);国家自然科学基金重点研究项目(NSFC-61333003)资助~~

摘　　要：针对高超声速飞行器纵向模型存在外界干扰和模型参数不确定性情形下的有限时间跟踪问题进行了研究分析.针对外界干扰上界已知,基于快速积分滑模理论,设计了有限时间快速积分滑模控制器.当外界干扰上界未知时,结合具有低通滤波器性能的自适应算法,通过引入辅助系统设计了实际有限时间自适应快速积分滑模控制器,能够处理输入饱和问题.对所设计的两个控制器利用李雅普诺夫理论给出了严格理论证明,得到整个闭环系统分别为有限时间稳定的、实际有限时间稳定的,并能够保证系统其它状态变量在较短的时间内趋于稳态值.对不同类型参考信号进行了数字仿真,进一步验证了所设计两个控制器的有效性和鲁棒性.Researches and analyses are conducted for the finite-time tracking problems of hypersonic vehicle longitudinal model with external disturbances and uncertainty of the model parameters. When external disturbance upper bound is known, the finite time fast integral sliding mode controller is designed based on the fast integral sliding mode theory.When external disturbance upper bound is unknown, the auxiliary system is introduced to design the anti-saturation practical finite time adaptive fast integral sliding mode controller which is combined with a kind of adaptive algorithm with low pass filter performance and can handle input saturation. Strict proofs are given using the Lyapunov theory for the above two controllers, which shows that the whole state of the closed-loop system is respectively finite-time stable and practical finite-time stable. Also the proofs shows that other state variables of the system can tend to steady values in a short transient process. For different types of reference signal, numerical simulations are presented which further demonstrate that the two designed controllers have strong effectiveness and robustness.

关 键 词：高超声速飞行器 有限时间跟踪控制 积分滑模控制 自适应控制 输入饱和 

分 类 号：V249.1[航空宇航科学与技术—飞行器设计]