On model matching problems of input-output switching systems

Mohammad Naghnaeian, Petros G. Voulgaris

Research output: Contribution to journalConference article

Abstract

In this paper we consider the model matching problem where linear switched systems are involved. We focus on the worst-case l induced norm and consider the problem when the involved systems have independent or matched switching sequences. We show that a switched compensation which can switch independently of the plant has no advantage over an LTI compensation. Moreover, if the plant is strictly causal, even a switched compensation which has the same switching as the plant does not provide a better performance over an LTI compensation. We further generalize the results of [1] to MIMO systems and present an exact expression to compute the worst-case l induced norm. Using that, one can cast a class of model matching problems as a Linear Programming.

Original languageEnglish (US)
Article number6425979
Pages (from-to)2643-2647
Number of pages5
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - Dec 1 2012
Event51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States
Duration: Dec 10 2012Dec 13 2012

Fingerprint

Switching Systems
Model Matching
Switching systems
Matching Problem
Output
Norm
Switched Linear Systems
MIMO Systems
MIMO systems
Linear programming
Switch
Strictly
Switches
Generalise
Compensation and Redress

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

On model matching problems of input-output switching systems. / Naghnaeian, Mohammad; Voulgaris, Petros G.

In: Proceedings of the IEEE Conference on Decision and Control, 01.12.2012, p. 2643-2647.

Research output: Contribution to journalConference article

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