On Robust Stability of Dynamic Interval Systems
Author(s): WU Fangxiang, SHI Zhongke, DAI Guanzhong
Pages: 113-115
Year: 2001 Issue: 1
Journal: CONTROL THEDRY AND APPLICATIONS
Keyword: 连续/离散的区间系统; 区间矩阵; Riccati方程方法; 鲁棒稳定性;
Abstract: In engineering,many systems can be described by dynamic intervalsystems.However,the stability criteria for interval systems in the existing literatures are either too conservative,or too difficult in application. We firstly present a kind of equivalent description of interval systems.Then by employing Lyapunov method and Riccati equation approach,some simple sufficient conditions of robust stability for dynamic continuous and discrete interval systems are obtained,respectively.These conditions can be tested by only solving Riccati inequalities (Eq.(3.1) and (Eq.(3.2)) or equivalently by computing H∞ norm (Eq.(3.2)). The numerical example shows that our result is not only less conservative,but also simple and easy to implement.
Pages: 113-115
Year: 2001 Issue: 1
Journal: CONTROL THEDRY AND APPLICATIONS
Keyword: 连续/离散的区间系统; 区间矩阵; Riccati方程方法; 鲁棒稳定性;
Abstract: In engineering,many systems can be described by dynamic intervalsystems.However,the stability criteria for interval systems in the existing literatures are either too conservative,or too difficult in application. We firstly present a kind of equivalent description of interval systems.Then by employing Lyapunov method and Riccati equation approach,some simple sufficient conditions of robust stability for dynamic continuous and discrete interval systems are obtained,respectively.These conditions can be tested by only solving Riccati inequalities (Eq.(3.1) and (Eq.(3.2)) or equivalently by computing H∞ norm (Eq.(3.2)). The numerical example shows that our result is not only less conservative,but also simple and easy to implement.
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