Peixoto, Márcia Luciana da CostaBraga, Marcio FelicianoPalhares, Reinaldo Martinez2022-02-252022-02-252021PEIXOTO, M. L. da. C.; BRAGA, M. F.; PALHARES, R. M. Gain-scheduled control for discrete-time nonlinear parameter-varying systems with timevarying delays. IET Control Theory and Applications, v. 14, p. 3217-3229, ago./fev. 2021. Disponível em: <https://ietresearch.onlinelibrary.wiley.com/doi/10.1049/iet-cta.2020.0900>. Acesso em: 12 set. 2021.1751-8652http://www.repositorio.ufop.br/jspui/handle/123456789/14585This study addresses the gain-scheduled control problem for discrete-time delayed non-linear parameter-varying (NLPV) and linear parameter-varying (LPV) systems. First, by constructing the parameter-dependent Lyapunov–Krasovskii functional and employing multiple auxiliary functions, delay-dependent reciprocally convex inequality, and selecting a suitable augmented vector, novel delay-dependent linear matrix inequality conditions for the static output-feedback control design and state-feedback control design for delayed NLPV are provided. Second, the results obtained for discrete-time delayed NLPV systems are modified in a simple way to deal with discrete-time delayed LPV systems. Finally, the effectiveness of the proposed methods is illustrated by numerical examples.en-USrestritoArtigo publicado em periodicohttps://ietresearch.onlinelibrary.wiley.com/doi/10.1049/iet-cta.2020.0900https://doi.org/10.1049/iet-cta.2020.0900