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Guaranteed cost control of uncertain impulsive switched systems with nonlinear disturbances

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Abstract

This paper discusses a guaranteed cost control problem of an uncertain impulsive switched system with nonlinear disturbances. The contribution of this study is to extend guaranteed cost control from traditional systems to uncertain impulsive switched systems with nonlinear disturbances. Firstly, an uncertain impulsive switched system with nonlinear disturbances is stated and some important definitions are given. Secondly, the stability of the closed-loop uncertain impulsive switched system with a linear quadratic guaranteed cost control law is proved and the upper boundary of performance cost is discussed. Es-pecially, different from traditional stability analysis of impulsive switched systems without disturbances, above conclusions are given under a nonlinear disturbance. Thirdly, Linear Matrix Inequality (LMI) formulation is utilized to design the optimal guaranteed cost control law of the uncertain impulsive switched system. Finally, simulations are carried on to demonstrate the proposed algorithm.

Original languageEnglish
Title of host publication2014 UKACC International Conference on Control, CONTROL 2014 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages151-156
Number of pages6
ISBN (Electronic)9781479950119
DOIs
StatePublished - 1 Oct 2014
Event10th UKACC International Conference on Control, CONTROL 2014 - Loughborough, United Kingdom
Duration: 9 Jul 201411 Jul 2014

Publication series

Name2014 UKACC International Conference on Control, CONTROL 2014 - Proceedings

Conference

Conference10th UKACC International Conference on Control, CONTROL 2014
Country/TerritoryUnited Kingdom
CityLoughborough
Period9/07/1411/07/14

Keywords

  • guaranteed cost control
  • linear matrix inequality
  • nonlinear disturbance
  • quadratic stable
  • uncertain impulsive switched system

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