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针对同时具有分布时滞和非线性项的T-S模糊时滞系统,提出观测器型H∞输出反馈控制器设计方法.首先,以非线性矩阵不等式形式给出时滞相关的满足H∞性能指标的稳定性分析充分条件;其次,给出与所给稳定性条件等价的线性矩阵不等式条件.在此基础上,讨论带有非线性项的观测器型H∞输出反馈控制的可解问题.最后,通过仿真算例说明控制器设计方法的可行性.
For the TS fuzzy time-delay systems with both distributed delays and nonlinearities, a design method of observer-type H∞ output feedback controller is proposed. First, the delay-dependent H∞ performance index is given in the form of nonlinear matrix inequalities The sufficient conditions for the stability analysis are given. Secondly, the conditions of the linear matrix inequalities which are equivalent to the given stability conditions are given. On the basis, the solvability problem of the observer-type H∞ output feedback control with nonlinear terms is discussed. The feasibility of the controller design method is illustrated through simulation examples.