Robust Stabilization with Definite Attenuance of Linear Uncertain Time-Delay Systems
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摘要: 研究了一类线性不确定时滞系统时滞依赖型具有指定衰减度的无记忆状态反馈鲁 棒镇定问题.所考虑的线性不确定时滞系统含有时变未知但有界的不确定参数和状态滞后. 通过应用Razumikhin定理和Lyapunov定理,导出了系统鲁棒稳定且具有指定衰减度的判 据和具有指定衰减度的无记忆状态反馈鲁棒镇定控制律存在的充分条件及相应的控制器设 计方法.所得时滞相关的结果用一组线性矩阵不等式(LMI)表示.
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关键词:
- 线性不确定时滞系统 /
- 衰减度 /
- 无记忆状态反馈 /
- 线性矩阵不等式(LMI) /
- 鲁棒镇定
Abstract: The problem of robust stabilization with definite attenuance for a class of linear uncertain time-delay systems is considered in this paper. The systems under consideration include time-varying unknown-but-bounded uncertain parameters and time-delay in state. A criterion of robust stability with definite attenuance and the method of designing a state feedback controller guaranteeing the system robust stable with definite attenuance are derived. The results depend on the size of delay and are given in terms of linear matrix inequalities. -
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