Title
Dissipativity for Switched LPV Systems and Its Application: A Parameter and Dwell Time-Dependent Multiple Storage Functions Method
Abstract
This paper investigates dissipativity and related properties for switched linear parameter-varying (LPV) systems by using parameter and dwell time-dependent multiple storage functions, which are different from traditional multiple storage functions because of the introduction of the external parameters into the storage functions construction. First, a novel concept relating to external parameters is proposed to describe the overall dissipativity property of switched parameter-varying systems in the absence of the conventional dissipativity property of the subsystems. Second, a state and parameter-triggered and time-driven switching laws is proposed, which avoids Zeno behavior by guaranteeing a dwell time among the adjacent switching. Third, several classic forms of dissipativity are addressed. For passivity and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$ {L_{2}}$ </tex-math></inline-formula> -gain, under certain negative output feedback asymptotic stability is guaranteed with the aid of asymptotic zero state detectability. Finally, the effectiveness of the proposed result is illustrated by its application to a speed adjustment problem of an aero-engine.
Year
DOI
Venue
2020
10.1109/TSMC.2017.2756980
IEEE Transactions on Systems, Man, and Cybernetics
Keywords
Field
DocType
Switches,Switched systems,Complexity theory,Cybernetics,Asymptotic stability,Stability analysis
Dwell time,Mathematical optimization,Control theory,Mathematics
Journal
Volume
Issue
ISSN
50
2
2168-2216
Citations 
PageRank 
References 
8
0.43
18
Authors
2
Name
Order
Citations
PageRank
Dong Yang111618.09
Jun Zhao236524.64