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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.
In this paper, we study the non-fragile robust stabilization problem for uncertain nonlinear systems with multiple delays. The parametric uncertainties in the state and input matrices are assumed to be bounded by norm. The delay is unknown but the range over time is known. All allowable parameter uncertainties, the non-fragile robust stabilization problem is to design a memory-weak state feedback controller that makes the closed-loop system robust and robust. Using the Lyapunov functional and the free-weight matrix method, the linear matrix inequalities (LMIs) The sufficient and stable criteria of delay dependence are obtained.The numerical examples show the validity of the proposed theoretical results.