Stability and L2 Synthesis of a Class of Periodic Piecewise Time-Varying Systems

被引：64

作者：

Li, Panshuo ^{[1
,2
,3
]}

Lam, James ^{[3
]}

Lu, Renquan ^{[1
,2
]}

Kwok, Ka-Wai ^{[3
]}

机构：

[1] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China

[2] Guangdong Univ Technol, Guangdong Prov Key Lab Intelligent Decis & Cooper, Guangzhou 510006, Guangdong, Peoples R China

[3] Univ Hong Kong, Dept Mech Engn, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2019年 / 64卷 / 08期

关键词：

Controller synthesis; L-2; performance; periodic systems; stability; time-varying systems; SWITCHED LINEAR-SYSTEMS; STEADY-STATE RESPONSE; L-2-GAIN ANALYSIS; STABILIZATION;

D O I：

10.1109/TAC.2018.2880678

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper. the stability, stabilization, and L-2-gain problems are investigated for periodic piecewise systems with time-varying subsystems. Continuous Lyapunov function with time-varying Lyapunov matrix is adopted. A condition guaranteeing the negative definiteness of a matrix polynomial, deriving from the Lyapunov derivative, is first obtained. Based on such a condition, an exponential stability condition is provided. Moreover, a state-feedback controller with time-varying gain is developed to stabilize the unstable periodic piecewise time-varying system. The L-2-gain criterion for periodic piecewise time-varying system is also studied. Numerical examples are given to show the validity of the proposed techniques.

引用

页码：3378 / 3384

页数：7

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