一类非线性中立型时滞系统的鲁棒H_∞控制

Robust H_∞ Control for Nonlinear Neutral Systems with Time-varying Delays

研究了一类带有非线性摄动的中立型时滞系统的鲁棒H∞控制问题,时滞是时变的,非线性摄动满足全局Lipschitz条件。通过所构造的新的Lyapunov-Krasovskii泛函,依据Lyapunov稳定性定理,设计一个线性无记忆的状态反馈控制器,使得相应的闭环系统在非线性摄动存在情况下是稳定的,且满足H∞性能指标,并基于线性矩阵不等式(LMI)方法,求解相应问题。

Problem of robust H∞ control for neutral systems with nonlinear pertumation and time-varying delays is studied. The nonlinearities are assumed to satisfy the global Lipsehitz conditions. By new Lyapunov-Krasovskii functional, a state feedback controller such that the closed loop remains stable for the nonlinearities is designed. A linear matrix inequality approach is developed to solve the problem addressed with an H∞ norm bound constraint on disturbance attenuation.