具有非线性扰动的不确定多个变时滞系统的有记忆非脆弱状态反馈控制（英文）

Memory Non-fragile State Feedback Control of Uncertain Multiple Time-varying Delays System with Nonlinear Perturbation

本文研究不确定非线性多时滞系统的非脆弱鲁棒镇定问题.状态和输入矩阵中的参数不确定性假设是范数有界.延迟是未知的,但随时间变化范围是已知的.对所有容许的参数不确定性,非脆弱鲁棒镇定问题是设计一个记忆脆弱的状态反馈控制器使得闭环系统是鲁棒稳定.利用Lyapunov泛函和自由权矩阵方法,以线性矩阵不等式(LMI)的的形式,得到时滞依赖充分镇定判据.数值例子说明所提出的理论结果的有效性.

This paper deais with the problem of non-fragile robust stabilization for uncertain nonlinear multiple time-varying delays system. The parameter uncertainties are assumed to be time-varying norm-bounded appearing in both state and input matrices. The time-delays are unknown and time-varying with known bounds. The non-fragile robust stabilization problem is to design a memory nomfragile state feedback controller such that the closed-loop system is robustly stable for all admissible parameter uncertainties. Using the Lyapunov functional method and free-weighting matrices, delay-dependent sufficient condition for the solvability of the problem is established in terms of linear matrix inequality （LMI）. Numerical example is provided to show the effectiveness of the proposed theoretical result.