Gain‐scheduled control for discrete‐time non‐linear parameter‐varying systems with time‐varying delays. Issue 19 (11th February 2021)

• Record Type: Journal Article
• Authors: Peixoto, Márcia L.C.; Braga, Márcio F.; Palhares, Reinaldo M.
• Is Part Of: IET control theory & applications. Volume 14:Issue 19(2020)
• Page Start: 3217
• Page End: 3229
• Publication Date: 2021-02-11
• Subjects: Lyapunov methods -- time‐varying systems -- linear systems -- feedback -- asymptotic stability -- delay systems -- linear matrix inequalities -- state feedback -- delays -- discrete time systems -- nonlinear control systems -- control system synthesis -- uncertain systems; parameter‐varying systems -- parameter‐dependent Lyapunov–Krasovskii functional -- employing multiple auxiliary functions -- delay‐dependent reciprocally convex inequality -- delay‐dependent linear matrix inequality conditions -- static output‐feedback control design -- state‐feedback control design -- discrete‐time delayed NLPV systems -- discrete‐time delayed LPV systems -- discrete‐time nonlinear parameter‐varying -- time‐varying delays -- gain‐scheduled control problem; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2020.0900
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : 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.