Finite‐horizon optimal trajectory control of near space hypersonic vehicle with multi‐constraints

Rongsheng Xia, Chunlei Bu, Xiaohui Yan, Tongle Zhou
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Abstract

Abstract In this article, a finite‐horizon optimal trajectory control strategy is developed for near space hypersonic vehicle (NSHV) longitudinal model with multi‐constraints including external disturbance, system modeling error, and input saturation. The whole control process has two parts: inner‐loop attitude control and outer‐loop trajectory control. First, the feedback linearization method is applied to design a tracking controller for outer‐loop system, and reference signals for inner‐loop attitude control can be obtained using Newton iteration method. Second, for the inner‐loop attitude system with multi‐constraints, a finite‐horizon optimal tracking control scheme consists of feedforward control input and adaptive dynamic programming based optimal feedback controller is designed. In this way, not only the adverse effects of above multi‐constraints are eliminated, but also the optimally tracking performances are guaranteed. Finally, the Lyapunov analysis method is utilized to ensure the stability of the entire closed‐loop control system, and simulation tests with respect to NSHV longitudinal trajectory tracking are supplied to verify the availability of the proposed strategy.

Abstract Image

多约束近空间高超声速飞行器有限视界最优轨迹控制
摘要针对具有外部干扰、系统建模误差和输入饱和等多约束条件的近空间高超声速飞行器(NSHV)纵向模型,提出了一种有限视界最优轨迹控制策略。整个控制过程包括两部分:内环姿态控制和外环轨迹控制。首先,采用反馈线性化方法设计了外环系统的跟踪控制器,并利用牛顿迭代法获得了内环姿态控制的参考信号。其次,针对多约束内环姿态系统,设计了一种由前馈控制输入和基于自适应动态规划的最优反馈控制器组成的有限地平线最优跟踪控制方案。这样不仅消除了上述多约束的不利影响,而且保证了最优的跟踪性能。最后,利用李雅普诺夫分析方法确保整个闭环控制系统的稳定性,并提供了关于NSHV纵向轨迹跟踪的仿真测试来验证所提出策略的有效性。
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