一类非匹配不确定性混沌系统的鲁棒自适应控制

Robust adaptive control of nonlinear chaotic systems with mismatched unknown parameters

针对一类含有非匹配未知参数和非参数不确定性的混沌系统控制问题,结合反演设计和“σθ-修改”参数自适应技术,提出了一种适用于输出跟踪的混沌系统鲁棒自适应控制器设计新方法,对非匹配的未知参数和非参数不确定具有鲁棒性。该控制器设计方法不仅能保证闭环系统所有信号有界,且能使跟踪误差以指数速度收敛到零的小临域内。计算机仿真验证了理论研究成果的有效性和正确性。

A robust adaptive controller for the control problem of chaotic systems is proposed. Based on the combination of backstepping design and parameter adaptation technology of a0-modification, the proposed approach can provide robust output tracking, and guarantee the global stability of the closed-loop system and force the tracking error to converge exponentially to a small bounded neighborhood of zero. Compared with the classical control method, it allows the mismatched unknown parameters, nonparametric uncertainties and bounded disturbance in the last equations of systems. The robustness of the closed loop system is enhanced. Computer simulation results are provided to illustrate the correctness and flexibility of the controller.