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Sampled‐data control under magnitude and rate saturating actuators
Author(s) -
Palmeira A. H. K.,
Gomes da Silva J.M.,
Tarbouriech S.,
Ghiggi I. M. F.
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3503
Subject(s) - aperiodic graph , control theory (sociology) , lyapunov function , actuator , stability (learning theory) , sampling (signal processing) , position (finance) , quadratic equation , mathematics , magnitude (astronomy) , control (management) , computer science , economics , physics , nonlinear system , artificial intelligence , astronomy , geometry , filter (signal processing) , finance , combinatorics , quantum mechanics , machine learning , computer vision
Summary This paper addresses the problems of stability analysis and stabilization of sampled‐data control systems under magnitude and rate saturating actuators. A position‐type feedback modeling for the actuator is considered. Based on the use of a quadratic Lyapunov function, a looped‐functional, and generalized sector relations (to cope with nested saturation functions), LMI‐based conditions are derived to assess local (regional) and global stability of the closed‐loop systems under aperiodic sampling strategies and also to synthesize stabilizing sampled‐data state feedback control laws. These conditions are then incorporated in convex optimization problems aiming at maximizing estimates of the region of attraction of the origin or maximizing the inter‐sampling time for which the stability is ensured regionally or, when possible, globally. Copyright © 2016 John Wiley & Sons, Ltd.