不确定非线性时变时滞广义系统的非脆弱H_∞保性能控制

Non-fragile H_∞ Guaranteed Cost Control for Nonlinear Uncertain Time-Varying Time-Delay Singular System

研究了一类参数不确定且带有非线性函数的时变时滞广义系统的非脆弱H∞保性能控制问题。目的是设计一个新的保性能控制器,并利用Lyapunov稳定性理论和线性矩阵不等式的方法给出系统状态反馈保性能控制器存在的充分条件。然后,通过线性矩阵不等式的可行解给出了保性能控制器的设计方法。最后,仿真实例验证了该方法的可行性。

The design of non-fragile H∞ guaranteed cost controller problem is discussed for a class of time-varying time-delay singular systems with nonlinear function. The aim is to design a new guaranteed cost controller. It presents a sufficient condition for the existence of guaranteed cost con- troller by means of Lyapunov stable theory and linear matrix inequality approach. Secondly, it gives the method of guaranteed cost controller by use of the solution of linear matrix inequality. Finally, the simulation result shows the feasibility of the approach.