执行器饱和TS模糊时滞系统记忆耗散控制

Memory Dissipative Control for T-S Fuzzy Time-delay System Subjected to Actuator Saturation

针对基于执行器饱和的不确定TS模糊时滞系统,设计了记忆耗散控制器。使用Wirtinger不等式,得到了使闭环系统既渐近稳定又满足耗散指标的时滞依赖条件。通过求解线性矩阵不等式,得到了控制器增益矩阵。最后,闭环系统最大吸引域的求解转化为一个最优化问题。数值仿真验证了所提出方法的可行性和优越性。

The memory dissipative control for T-S fuzzy time-delay system subjected to actuator saturation was established. The Wirtinger inequality was adopted to develop new delay-dependent stability conditions,which guaranteed that the closed-loop system was asymptotically stable and dissipative. Then,the memory controller was obtained by solving linear matrix inequalities. Finally,the problem of estimating the attraction domain of the closed-loop systems was formulated as an optimization problem. The numerical simulation demonstrates the effectiveness and advantage of the proposed method.