一类不确定中立时滞系统的有限时间H∞控制器设计

摘要

The finite-time H∞ control problem of a class of neutral time-delayed system with parameter uncertainties is studied. The disturbance input is assumed to finite-time bounded.The Lyapunov function and linear matrix inequality techniques are ap-plied to design a state feedback controller to guarantee that the resulted closed-loop system is finite-time bounded and satisfies a given H∞ constraint condition.Simulation results illustrate the validity of the proposed approach.%研究了一类含不确定参数的中立时滞系统的有限时间H∞控制问题。通过构造合适的Lyapunov函数，结合线性矩阵不等式技术，设计了一个使得闭环控制系统有限时间有界，满足给定的H∞性能指标的控制器，并给出此控制器存在的充分条件，最终将控制器的设计转化为一个优化求解问题。仿真示例证明了所设计方法的有效性。