一类非线性T-S模糊时滞系统的鲁棒观测器型H_∞控制器设计

Robust observer-based H_∞ control for nonlinear T-S fuzzy time-delay systems

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.

This paper considers the design problem of observer-based H~ output feedback control over the nonlinear Takagi-Sugeno （T-S） fuzzy systems with distributed delays. Firstly, delay-dependent sufficient conditions satisfy the H~ performance, are given for the stability analysis in terms of non-strict linear matrix inequality; then, the equivalent linear matrix inequality stability conditions can be obtained. Based on this, the solvable of the observer-based H~ output feedback control problem is proposed. Finally, a numerical example is given to illustrate the effectiveness of the design approach here.