TY - GEN

T1 - Invertibility of nonlinear switched systems

AU - Tanwani, Aneel

AU - Liberzon, Daniel

PY - 2008

Y1 - 2008

N2 - This article addresses the invertibility problem for switched nonlinear systems afflne in controls. The problem is concerned with finding the input and switching signal uniquely from given output and initial state. We extend the concept of switch-singular pairs, introduced recently, to nonlinear systems and develop a formula for checking if given state and output form a switch-singular pair. We give a necessary and sufficient condition for a switched system to be invertible, which says that the subsystems should be invertible and there should be no switch-singular pairs. When all the subsystems are invertible, we demonstrate output tracking by finding switching signals and inputs that generate a given output in a finite interval when there is a finite number of such switching signals and inputs. Detailed examples are included to illustrate these newly developed concepts.

AB - This article addresses the invertibility problem for switched nonlinear systems afflne in controls. The problem is concerned with finding the input and switching signal uniquely from given output and initial state. We extend the concept of switch-singular pairs, introduced recently, to nonlinear systems and develop a formula for checking if given state and output form a switch-singular pair. We give a necessary and sufficient condition for a switched system to be invertible, which says that the subsystems should be invertible and there should be no switch-singular pairs. When all the subsystems are invertible, we demonstrate output tracking by finding switching signals and inputs that generate a given output in a finite interval when there is a finite number of such switching signals and inputs. Detailed examples are included to illustrate these newly developed concepts.

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U2 - 10.1109/CDC.2008.4739124

DO - 10.1109/CDC.2008.4739124

M3 - Conference contribution

AN - SCOPUS:62949094895

SN - 9781424431243

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 286

EP - 291

BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 47th IEEE Conference on Decision and Control, CDC 2008

Y2 - 9 December 2008 through 11 December 2008

ER -