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Neuro-fuzzy tracking control of discrete-time nonlinear systems under Linear Matrix Inequality region constraints

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Resumo:This study investigates the problem of system identification and control for non-affine nonlinear deterministic systems using a generalised state-space neuro-fuzzy model. The proposed new model consists of a seven-layer neural network, where the consequent part comprises a finite set of discrete-time invariant linear state-space models. For tracking control design, quadratic stabilisers are integrated within a Parallel Distributed Compensation framework. Instead of merely ensuring the closed-loop stability of the state-augmented system, the feedback matrices are computed by solving a region-constrained Linear Matrix Inequality problem, which guarantees that the closed-loop eigenvalues remain within a D-stable region. The proposed generalised neuro-fuzzy model is proven to be a universal approximator on compact sets, with sufficient conditions for closed-loop stability established under the Neuro-Fuzzy-based Parallel Distributed Compensation framework. Experimental results on a nonlinear benchmark system validate the effectiveness and practical feasibility of the proposed neuro-fuzzy tracking control strategy.
Autores principais:Gil, Paulo
Outros Autores:João, Miguel; Carvalho, Carolina; Palma, Luís Brito; Henriques, Jorge
Assunto:Linear Matrix Inequality-region Neuro-fuzzy control Nonlinear systems Takagi–Sugeno inference D-stability Control and Systems Engineering Artificial Intelligence Electrical and Electronic Engineering
Ano:2025
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade Nova de Lisboa
Idioma:inglês
Origem:Repositório Institucional da UNL
Descrição
Resumo:This study investigates the problem of system identification and control for non-affine nonlinear deterministic systems using a generalised state-space neuro-fuzzy model. The proposed new model consists of a seven-layer neural network, where the consequent part comprises a finite set of discrete-time invariant linear state-space models. For tracking control design, quadratic stabilisers are integrated within a Parallel Distributed Compensation framework. Instead of merely ensuring the closed-loop stability of the state-augmented system, the feedback matrices are computed by solving a region-constrained Linear Matrix Inequality problem, which guarantees that the closed-loop eigenvalues remain within a D-stable region. The proposed generalised neuro-fuzzy model is proven to be a universal approximator on compact sets, with sufficient conditions for closed-loop stability established under the Neuro-Fuzzy-based Parallel Distributed Compensation framework. Experimental results on a nonlinear benchmark system validate the effectiveness and practical feasibility of the proposed neuro-fuzzy tracking control strategy.