Stability and stabilisation for time-varying polytopic quadratic systems

被引：11

作者：

Chen, Fu ^{[1
]}

Kang, Shuigui ^{[1
]}

Ji, Lixia ^{[1
]}

Zhang, Xiuzhen ^{[1
]}

机构：

[1] Shanxi Datong Univ, Sch Math & Comp Sci, Datong, Shanxi, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2017年 / 90卷 / 02期

关键词：

Quadratic systems; polytopic systems; S-procedure; 'quasi' linear matrix inequalities; LPV SYSTEMS; LYAPUNOV FUNCTIONS; ATTRACTION;

D O I：

10.1080/00207179.2016.1181786

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper develops the problems of local stability and stabilisation for time-varying polytopic quadratic systems. The state-space data is assumed to be dependent on parameters that are measurable in real time and vary in a compact set with bounded variation rates. These problems are solved by utilising the parameter-dependent quadratic Lyapunov function and S-procedure approach. Sufficient conditions for local stability and stabilisation are first formulated as optimisation problems with 'quasi' linear matrix inequalities. Simulation examples are then provided to confirm the effectiveness of the given approach.

引用

页码：373 / 383

页数：11

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