A positive real lemma for singular hybrid systems

被引：0

作者：

Park, Chan-eun ^{[1
]}

Park, In Seok ^{[1
]}

Kwon, Nam Kyu ^{[2
]}

Park, PooGyeon ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Elect Engn, Pohang, South Korea

[2] Yeungnam Univ, Dept Elect Engn, Gyongsan, South Korea

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

Stochastic hybrid systems; stability and stabilization of hybrid systems; linear matrix inequality; positive real lemma; descriptor system; MARKOVIAN JUMP SYSTEMS; SLIDING MODE CONTROL; H-INFINITY CONTROL; OUTPUT-FEEDBACK CONTROL; INCOMPLETE KNOWLEDGE; ROBUST-CONTROL; STABILIZATION;

D O I：

10.1016/j.ifacol.2020.12.2518

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 introduces a positive real lemma for continuous-time singular hybrid systems. The necessary and sufficient condition of stochastic admissibility and strict passivity for the singular hybrid systems is obtained in terms of linear matrix inequalities. The sufficient condition is derived by using mode-dependent Lyapunov function. In this step, two slack variables are inserted to make the proposed condition be necessary and sufficient condition in terms of strict linear matrix inequalities. Then, to prove the necessary condition, the positive real lemma for the hybrid system is proposed. Since the admissible singular system can be reformulated into stable normal system, the positive real lemma for the hybrid system holds. Thus, we give a necessary condition by constructing the solution of the proposed lemma from that of the hybrid systems. Copyright (C) 2020 The Authors.

引用

页码：2051 / 2056

页数：6

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