不确定时滞离散模糊系统鲁棒H∞控制

研究了一类不确定离散时滞模糊系统的鲁棒H∞稳定性问题.基于模糊Lyapunov-Krasovskii函数,应用并行分布补偿算法,设计了使模糊系统全局渐近稳定的控制器,提出并证明了一个新的判别闭环不确定离散时滞模糊系统鲁棒H∞渐近稳定的充分条件.引入多个附加矩阵变量,可由一组线性矩阵不等式的解得到控制器.由于使用了模糊Lyapunov-Krasovskii函数,此鲁棒稳定条件比基于公共Lyapunov-Krasovskii函数的稳定条件的保守性更小,由仿真算例验证了结果.

Robust H∞ control for a class of uncertain discrete fuzzy system with time-delay

The robust H_∞ stability control problem is considered for a class of discrete uncertain fuzzy system with time-delay. Based on the fuzzy Lyapunov-Krasovskii function (LFK), a fuzzy controller is designed to acquire globally asymptotical stability for the discrete uncertain fuzzy time-delay system with the method of parallel distributed compensation (PDC). Then a new sufficient condition for checking the stability of the closed-loop fuzzy system is proposed and proved. The controller design involves solving a set of linear matrix inequalities (LMIs) by introducing multiply additional matrix variables. Due to the idea of fuzzy LKF, the obtained robust stability condition has less conservativeness than the one based on the common LKF. A simulation example shows that the approach is effective.