Title
Incremental passivity-based H∞ output tracking control for switched nonlinear systems
Abstract
This paper is concerned with the problem of H-infinity output tracking control for a class of switched nonlinear systems with external disturbances using incremental passivity, even if the problem of H-infinity output tracking control for none of subsystems is solvable. First, an incremental passivity concept of switched nonlinear systems without external disturbances is proposed. This incremental passivity property requires each active subsystem is incrementally passive. Then, sufficient conditions to be incrementally passive are given. Second, by resorting to the established incremental passivity theory, a state-dependent switching law and a set of feedback controllers are designed to solve the problem of H-infinity output tracking control for a class of switched nonlinear systems with external disturbances. This avoids solving Hamilton-Jacobi (HJ) inequality. Third, a composite state-dependent switching law and the state feedback controllers are designed to solve the H-infinity output tracking problem for a class of cascaded switched nonlinear systems with external disturbances. The designed composite switching law allows the driven switched system and the driving switched system switch asynchronously. Finally, two examples are provided to verify the effectiveness of the proposed method.
Year
DOI
Venue
2019
10.1177/0142331219834603
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
Keywords
DocType
Volume
Switched nonlinear systems,H(infinity)output tracking control,incremental passivity,state-dependent switching law,cascaded switched nonlinear systems
Journal
41.0
Issue
ISSN
Citations 
13
0142-3312
0
PageRank 
References 
Authors
0.34
18
3
Name
Order
Citations
PageRank
Shuo Liu13316.80
Hongbo Pang211.73
Chensong Li300.68