一类不确定离散切换模糊时滞系统的鲁棒输出反馈控制

Robust Output-Feedback Control for a Class of Uncertain Discrete Switched Fuzzy Systems with Time-Delay

针对状态不可观测的情况,重构系统状态,提出了一类不确定离散切换模糊时滞系统的鲁棒镇定问题.考虑每个切换子系统都是模糊系统的切换系统模型,利用切换技术,对于系统状态采用多Lyapunov函数方法,对于观测器误差采用共同Lyapunov函数方法,给出了切换律设计.利用平行分布补偿算法(PDC),给出了基于观测器的切换模糊反馈控制器设计,使得闭环系统对所有允许的不确定性,在所设计的反馈控制器和切换律下具有鲁棒性.最后通过数值仿真例子验证了该设计方法的有效性和可行性.

Investigates the problems of robust output-feedback control for a class of uncertain discrete switched fuzzy systems with time-delay. A state observer is constructed when the states are immeasurable. Supposing that each and every subsystem of the switched system is fuzzy system, the multiple Lyapunov functions method is adopted for the system state with the common Lyapunov function method used for the observer error to design the switched control law. And the PDC（parallel distributed compensation） algorithm is used to design the fuzzy output-feedback controllers, thus enabling a closed-loop system to provide robustness for all admissible uncertainties in the feedback controller designed and in accordance to the switched control law designed as above. A simulation example shows the feasibility and effectiveness of the design method.