Asymptotic disturbance attenuation property analysis for discrete-time uncertain switched linear systems

Hai Lin, Guisheng Zhai, Panos J. Antsaklis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this paper, the disturbance attenuation properties in the sense of uniformly ultimate boundedness are investigated for a class of switched linear systems with parametric uncertainties and exterior disturbances. We aim to characterize the conditions under which the switched system can achieve a finite disturbance attenuation level. First, arbitrary switching signals are considered, and a necessary and sufficient condition is derived. Secondly, if the finite disturbance attenuation level is not preserved under arbitrary switchings, we restrict the switching signals so as to guarantee the finite disturbance attenuation levels. Two cases are considered here that depend on whether all the subsystems are uniformly ultimately bounded or not. For both cases, the switching signals are characterized by an average dwell time scheme. The techniques are based on multiple polyhedral Lyapunov and Lyapunov-like functions.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
Pages1-6
Number of pages6
Volume1
Publication statusPublished - 2005
Externally publishedYes
Event2005 American Control Conference, ACC - Portland, OR, United States
Duration: 2005 Jun 82005 Jun 10

Other

Other2005 American Control Conference, ACC
CountryUnited States
CityPortland, OR
Period05/6/805/6/10

Fingerprint

Linear systems

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Lin, H., Zhai, G., & Antsaklis, P. J. (2005). Asymptotic disturbance attenuation property analysis for discrete-time uncertain switched linear systems. In Proceedings of the American Control Conference (Vol. 1, pp. 1-6)

Asymptotic disturbance attenuation property analysis for discrete-time uncertain switched linear systems. / Lin, Hai; Zhai, Guisheng; Antsaklis, Panos J.

Proceedings of the American Control Conference. Vol. 1 2005. p. 1-6.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Lin, H, Zhai, G & Antsaklis, PJ 2005, Asymptotic disturbance attenuation property analysis for discrete-time uncertain switched linear systems. in Proceedings of the American Control Conference. vol. 1, pp. 1-6, 2005 American Control Conference, ACC, Portland, OR, United States, 05/6/8.
Lin H, Zhai G, Antsaklis PJ. Asymptotic disturbance attenuation property analysis for discrete-time uncertain switched linear systems. In Proceedings of the American Control Conference. Vol. 1. 2005. p. 1-6
Lin, Hai ; Zhai, Guisheng ; Antsaklis, Panos J. / Asymptotic disturbance attenuation property analysis for discrete-time uncertain switched linear systems. Proceedings of the American Control Conference. Vol. 1 2005. pp. 1-6
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