一类基于模糊T-S模型的输出反馈控制系统鲁棒稳定性分析

Robust stability analysis of an output-feedback T-S fuzzy control system

针对一般线性系统,提出了一种基于T-S模糊自适应控制的输出反馈控制策略.为分析其鲁棒稳定性,利用Lyapunov函数,考察了存在一定建模误差情形下该系统的局部和全局稳定性以及鲁棒稳定性,推导了该控制系统的稳定性以及鲁棒稳定性条件.仿真和试验验证了结论的正确性和有效性.

For a linear system, a new output-feedback control strategy was presented based on T-S fuzzy self-adapta-tive theory. To analyze robust stability of the system with some modeling error, local, global and robust stabilities were studied with Lyapunov theory. Then, local and global stability conditions and robust stability conditions were deduced respectively. Simulation and tests show that the deductions are correct and valid.