Title
Hybrid Control Design For Limit Cycle Stabilisation Of Planar Switched Systems
Abstract
This paper addresses the control problem of an important class of hybrid dynamical systems where the desired state does not belong to the set of subsystem equilibria. Beyond the practical stabilisation where the system trajectory has to be driven to a neighbourhood of a desired state, a control law is designed to solve the limit cycle stabilisation problem for planar hybrid systems. Using the hybrid Poincare map, two hybrid controllers are developed, which guarantee a local asymptotic/finite-time stability of the desired limit cycle. Illustrative examples are provided to highlight the effectiveness of the derived results.
Year
DOI
Venue
2018
10.1080/00207179.2017.1327723
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
Limit cycle, switched system, stabilisation, hybrid Poincare map
Mathematical optimization,Poincaré map,Control theory,Limit cycle,Dynamical systems theory,Planar,Hybrid system,Mathematics,Trajectory
Journal
Volume
Issue
ISSN
91
7
0020-7179
Citations 
PageRank 
References 
2
0.39
12
Authors
4
Name
Order
Citations
PageRank
Benmiloud, M.121.06
Benalia, A.272.85
M. Djemaϊ36916.61
Michael Defoort443333.97