Open AccessGain‐scheduled control for discrete‐time non‐linear parameter‐varying systems with time‐varying delays
Author(s) -
Peixoto Márcia L.C.,
Braga Márcio F.,
Palhares Reinaldo M.
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2020.0900
Subject(s) - control theory (sociology) , discrete time and continuous time , linear matrix inequality , convex optimization , mathematics , linear system , simple (philosophy) , control (management) , regular polygon , state (computer science) , lyapunov function , computer science , nonlinear system , mathematical optimization , algorithm , mathematical analysis , philosophy , statistics , physics , geometry , epistemology , quantum mechanics , artificial intelligence
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.