Paper Info
Title
Discrete-Time Modeling and Stability Analysis of Periodic Orbits With Sliding for Switched Linear Systems
Abstract
This paper establishes a discrete-time model and presents an exact method of stability analysis for periodic orbits containing a segment of sliding orbit for switched linear systems. Sliding dynamical equations are obtained by using Utkin's equivalent control method. Sliding mapping and impact mapping are obtained by solving the respective differential equations. A generalized discrete-time mapping for a cycle is derived for three operating scenarios. The coordinates of the periodic orbit points, inflow and outflow sliding regions, and the corresponding Jacobians are obtained. Theoretical analysis and simulation results for a third-order relay-feedback system and a second-order autonomous oscillating circuit are presented to illustrate the proposed model and method.
Year
DOI
Venue
2010
10.1109/TCSI.2010.2050230
IEEE Trans. on Circuits and Systems
Keywords
Field
DocType
periodic orbits,utkin equivalent control method,third-order relay-feedback system,sliding dynamical equations,second-order autonomous oscillating circuit,sliding,generalized discrete-time mapping,theoretical analysis,impact mapping,switched linear systems (slss),exact method,linear system,equivalent control method,discrete time systems,periodic orbit point,linear systems,periodic orbit,discrete-time modeling,stability analysis,stability,differential equations,switched linear systems,discrete-time model,discrete-time mapping,switches,second order,bifurcation,oscillations,mathematical model,discrete time,differential equation,feedback system
Orbit,Differential equation,Oscillation,Linear system,Control theory,Discrete time and continuous time,Equations for a falling body,Inflow,Mathematics,Bifurcation
Journal
Volume
Issue
ISSN
57
11
1549-8328
Citations 
PageRank 
References 
6
0.71
10
Authors
3
Name
Order
Citations
PageRank
Yi-bo Zhao1173.11
Jiuchao Feng213317.84
Chi K. Tse31153155.94