不确定性R¨ossler 系统的自适应鲁棒跟踪控制

研究具有外部不确定性R¨ossler 混沌系统的鲁棒跟踪控制问题. 基于动态面控制原理设计自适应鲁棒控制器, 给出了系统参数的自适应更新律, 使得被控闭环系统的各误差变量一致有界. 系统输出曲线渐近跟踪任意期望轨道, 且跟踪误差能被控制在任意小的范围内, 而无须知道系统的参数及外部不确定性的界限. 基于稳定理论给出了具体的稳定性分析, 并通过数值仿真验证了该方法的有效性及鲁棒性.

Robust adaptive tracking control of R¨ossler systems subject to external uncertainties

The robust tracking control of R¨ossler system with external uncertainties is investigated. Based on dynamic surface control, a robust controller is designed and the update laws of the unknown parameters are given, under which all the signals of the closed-loop controlled system can be semi-globally ultimately bounded, influence of the uncertainties can be attenuated effectively, and the output trajectory of the chaotic system can approach any desired orbit with an arbitrarily small error bound without knowing the upper bounds of the unknown parameters and external uncertainties. Theoretical analysis is derived as well based on Lyapunov stability theory. Finally, numerical simulations are given to verify the effectiveness and robustness of the proposed control scheme.