Paper Info
Title
Generic and generalized boundary operating points in piecewise-linear (discontinuous) control systems.
Abstract
Switching control strategies introducing a discontinuity in the closed-loop equations are widely used in different fields of science and engineering. When an operating point that is viable for one of the available control actions attains a switching boundary, as a process or control parameter is varied, two generic scenarios are possible: either the operating point turns into a pseudo-equilibrium on the boundary (persistence), so the stationary solution persists through the bifurcation and a sliding mode control is initiated; or it collides and disappears together with a previously coexisting pseudo-equilibrium (nonsmooth-fold), triggering a transient toward another attractor of the control system. In this paper we analyze the degenerate situation separating these two scenarios-the codimension-2 bifurcation called Generalized Boundary Equilibrium (GBE) in the literature on Filippov systems-in the special case of piecewise-linear control systems. We apply our results in power electronics, where the desired operating point often works in sliding mode. In particular, we analyze a three-dimensional model of DC-DC boost converter, where the GBE bifurcation-though occurring for non operative values of the control parameters-plays a critical role in identifying the operative regions of the electrical and control parameters.
Year
DOI
Venue
2012
10.1109/CDC.2012.6425950
CDC
Keywords
Field
DocType
DC-DC power convertors,bifurcation,piecewise linear techniques,power electronics,time-varying systems,variable structure systems,DC-DC boost converter,Filippov systems,GBE bifurcation,bifurcation,boundary operating points,closed-loop equations,degenerate situation,generalized boundary equilibrium,operative regions,piecewise-linear control systems,power electronics,pseudo-equilibrium,sliding mode control,switching boundary,switching control strategies
Boost converter,Attractor,Control theory,Computer science,Operating point,Discontinuity (linguistics),Control system,Piecewise linear function,Sliding mode control,Bifurcation
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Fabio Della Rossa1237.65
Fabio Dercole24714.32