Gain-scheduled control for discrete-time nonlinear parameter-varying systems with timevarying delays.
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2021
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This 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.
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PEIXOTO, 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.