NDLI: H∞ control of continuous switched systems based on input and output strict passivity

Content Provider	IET Digital Library
Author	Gao, Zairui Wang, Ziyun Ji, Zhicheng Liu, Yunlong
Abstract	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.
Starting Page	1951
Ending Page	1955
Page Count	5
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 14, Sep (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/14
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1446
Journal	IET Control Theory & Applications
Publisher Date	2018-05-08
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	$H∞ Control Algebra Appropriate Switching Rule Asymptotic Stability Authors Study Constructing Nonlinear Controller Continuous Switched System Continuous Time System Control Problem Control System Analysis Control System Synthesis Input Linear Matrix Inequalities Linear System Lyapunov Method Nonlinear Control System Optimal Control Output Strict Passivity Stability in Control Theory Sufficient Condition Switched Linear System Switched Nonlinear System Synthesis Method Time Varying Control System Time Varying System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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