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Two‐Controller Anti‐Windup Design for Enlarging Domain of Stability of Actuator Constrained State‐Delay Systems
Author(s) -
Ahmed Abrar,
Khan M. Umer,
Rehan Muhammad,
Iqbal Naeem
Publication year - 2013
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.692
Subject(s) - control theory (sociology) , actuator , linear matrix inequality , controller (irrigation) , stability (learning theory) , convex optimization , exponential stability , topology (electrical circuits) , regular polygon , mathematics , computer science , control (management) , mathematical optimization , nonlinear system , physics , geometry , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , combinatorics
Abstract This paper proposes the enlargement of domain of stability of an actuator constrained state time‐delay system with a novel dynamic two controller anti‐windup design. The design makes a departure from the conventional controller‐modeled actuator saturation‐plant topology to a controller‐modeled actuator saturation‐controller‐plant topology. Using linear matrix inequality‐based convex optimization, anti‐windup gains for two separate controllers are computed through delay independent and delay dependant L yapunov– K rasovskii functionals, ensuring closed‐loop asymptotic stability. Consequently, the domain of stability of the new topology is comparatively ascertained and proved to be more enlarged. An application based motor control system validates the devised control law.