Paper Info
Title
Switching-Dependent Convex Lyapunov Function and Controller for Continuous-Time Switched Systems
Abstract
In this paper, the stability and stabilization are investigated for continuous-time switched systems with admissible edge-dependent average dwell time (AED-ADT). The core idea is to propose new-type Lyapunov functions (LFs), i.e., switching-dependent convex Lyapunov function (CLF) and switching-dependent LF, to achieve the less conservative stability criteria. Corresponding to the novel LFs, two controller design approaches are built to stabilize the underlying system, which are switching-dependent convex controller under an innovative switching scheme and switching-dependent traditional controller under AED-ADT. In the end, a numerical example is provided to verify the effectiveness of the designed LFs in the aspect of stability analysis; a tunnel diode circuit is employed to unfold the potency of the above controller design approaches in optimizing control performances, such as settling time and overshoot.
Year
DOI
Venue
2022
10.1007/s00034-021-01932-1
Circuits, Systems, and Signal Processing
Keywords
DocType
Volume
Continuous-time switched systems, Admissible edge-dependent average dwell time, Switching-dependent convex Lyapunov function, Switching-dependent convex controller
Journal
41
Issue
ISSN
Citations 
6
0278-081X
0
PageRank 
References 
Authors
0.34
18
4
Name
Order
Citations
PageRank
Wang, Ruihua100.34
Li, Fupeng200.34
Wang, Yanqian300.34
Jing-bo Zhao4107.38