非线性混沌系统的鲁棒自适应控制

Robust adaptive control for nonlinear chaotic systems

研究了不确定非线性Chua’s混沌系统的跟踪控制问题.通过坐标变换将Chua’s系统转换为严格反馈控制系统的一种通用形式,然后利用Backstepping方法和鲁棒控制技术,设计了参数自适应控制律,对存在的不确定性和未知干扰的非线性系统实现了输出跟踪。基于Lyapunov稳定性理论所设计的控制器不仅使系统输出跟踪给定的期望输出,而且使得系统对于所允许的不确定系统状态全局一致有界。仿真结果表明了所设计方法的有效性。

Tracking control of a nonlinear uncertain Chugs chaotic system is studied. With coordinate transform, Chugs chaotic system is transformed to a general form of a strict-feedback control system. Combining the backstepping method with robust control technology, an adaptive parameter control law for a robust output feedback control scheme is developed for output tracking of nonlinear unknown systems. It is shown that the derived robust adaptive controller based on Lyapunov stability theory can guarantee global uniformly bounded ultimate property for all states of the closed-loop system, and lead to tracking error decreasing at exponential speed. The simulation results show the effectiveness of the proposed approach.