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

中文关键词  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

英文关键词  hypersonic vehicle  finite-time tracking control  integral sliding mode control  adaptive control  input saturation

中文摘要

      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.

英文摘要

      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.