Open AccessH ∞ control of continuous switched systems based on input and output strict passivity
Author(s) -
Gao Zairui,
Wang Ziyun,
Ji Zhicheng,
Liu Yunlong
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.1446
Subject(s) - passivity , control theory (sociology) , lyapunov function , linear system , control (management) , interval (graph theory) , linear matrix inequality , mathematics , domain (mathematical analysis) , output feedback , computer science , linear control systems , mathematical optimization , nonlinear system , engineering , mathematical analysis , physics , quantum mechanics , artificial intelligence , combinatorics , electrical engineering
In this study, the authors study the issue of H ∞ control of continuous switched systems based on the input and output strict passivity. First of all, for switched non‐linear systems, by constructing non‐linear controllers and an appropriate switching rule, a sufficient condition is given to guarantee the existence of a solution to the H ∞ control problem based on the multiple Lyapunov functions method. It only requires that each subsystem exhibits input and output strict passivity in the activation interval, and not in the whole time domain. Next, for switched linear systems, a sufficient condition is obtained to guarantee the existence of a solution to the H ∞ control problem based on the linear matrix inequality, and the controllers with explicit expressions of subsystems are designed. Finally, two examples are given to verify the feasibility and effectiveness of the results.