摘要
研究了动态连续区间系统和离散区间系统的鲁棒稳定性问题 .在给出了区间系统的一种等价描述之后 ,利用Lyapunov方法和Riccati方程方法 ,分别得到了连续区间系统和离散区间系统鲁棒稳定的充分条件 .最后的数值例子说明本文的结果不仅保守性小 。
In engineering,many systems can be described by dynamic interval systems.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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2001年第1期113-115,共3页
Control Theory & Applications
基金
国家重点基础研究发展规划项目 !(G19980 30 417)
航空自选课题! (98DX0 90 1)资助项目
