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

Journal article (2022)

Authors

Majid Shahbazzadeh Babol Noshirvani University of Technology
Seyed Jalil Sadati Babol Noshirvani University of Technology
S. Hassan HosseinNia Mechatronic Systems Design - Mechanical, Maritime and Materials Engineering
Research Group
Mechatronic Systems Design (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2022 Majid Shahbazzadeh, Seyed Jalil Sadati, S. Hassan HosseinNia
DOI: https://doi.org/10.1002/rnc.6057
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Published Date

2022

Language

English

Reuse Rights

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Mechatronic Systems Design

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.

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