Optimal reset law design based on guaranteed cost control method for Lipschitz nonlinear systems

Majid Shahbazzadeh, Seyed Jalil Sadati*, S.H. Hossein Nia Kani

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)
23 Downloads (Pure)

Abstract

This article proposes a systematic approach for optimal reset law design of a class of nonlinear systems. By using the guaranteed cost control method, sufficient conditions for the design of optimal reset law are derived in terms of linear matrix inequalities. In an offline design procedure, the reset law is computed that minimizes the upper bound of a quadratic cost function. The proposed method can be implemented for real-time applications even with small sampling time. The simulation results verify the efficacy and effectiveness of the proposed theoretical results.

Original languageEnglish
Pages (from-to)4739-4751
JournalInternational Journal of Robust and Nonlinear Control
Volume32
Issue number8
DOIs
Publication statusPublished - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

  • guaranteed cost control
  • linear matrix inequalities
  • Lipschitz nonlinearity
  • reset control systems
  • reset law

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