Event‐triggered control of Takagi‐Sugeno fuzzy systems under deception attacks

Author:

Peixoto Márcia L. C.1ORCID,Coutinho Pedro H. S.1ORCID,Bessa Iury2ORCID,Pessim Paulo S. P.1ORCID,Palhares Reinaldo M.3ORCID

Affiliation:

1. Graduate Program in Electrical Engineering Federal University of Minas Gerais Belo Horizonte Minas Gerais Brazil

2. Department of Electricity Federal University of Amazonas Manaus Amazonas Brazil

3. Department of Electronics Engineering Federal University of Minas Gerais Belo Horizonte Minas Gerais Brazil

Abstract

AbstractThis article handles the problem of periodic event‐triggered control co‐design for the stabilization of Takagi‐Sugeno fuzzy models subject to stochastic deception attacks whose occurrence follows a given Bernoulli distribution. A novel delay‐dependent condition is presented to simultaneously design the event‐triggering mechanism and the state‐feedback controller to ensure the local mean‐square asymptotic stability of the closed‐loop system. The co‐design condition is derived as linear matrix inequalities by considering Lyapunov–Krasovskii stability arguments. In addition, an optimization procedure is provided to estimate an enlarged set of admissible initial conditions and the corresponding ultimate bound within the validity domain of the fuzzy model. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed approach.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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