Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator

The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employi...

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Published inSymmetry (Basel) Vol. 11; no. 9; p. 1084
Main Authors Rachid, Hafsaa, Lamrabet, Ouarda, Tissir, El Houssaine
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 2019
Subjects
Actuators
Algorithms
Antiwindup compensators
Approximation
Closed loop systems
Control systems design
Controllers
Inequality
Linear matrix inequalities
Linear operators
Mathematical analysis
Operators (mathematics)
Optimization
Saturation
Subsystems
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ISSN2073-8994
2073-8994
DOI10.3390/sym11091084

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Abstract The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov–Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique.
AbstractList The design of an anti-windup controller for delta operator systems with time-varying delay and actuator saturation is addressed. By utilizing the input-output approach and three-term approximation, we first transform the original system into two equivalent interconnected subsystems. Then, by employing the scaled small-gain theorem, the Lyapunov–Krasovskii functional, and Wirtinger’s integral inequality, sufficient conditions for the synthesis of an anti-windup compensator are presented in the form of linear matrix inequalities (LMIs). The estimated domain of attraction is maximized by an optimization algorithm. Numerical examples are studied to show the merits of the proposed technique.
Author Rachid, Hafsaa
Tissir, El Houssaine
Lamrabet, Ouarda
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StartPage 1084
SubjectTerms Actuators
Algorithms
Antiwindup compensators
Approximation
Closed loop systems
Control systems design
Controllers
Inequality
Linear matrix inequalities
Linear operators
Mathematical analysis
Operators (mathematics)
Optimization
Saturation
Subsystems
Title Stabilization of Delta Operator Systems with Actuator Saturation via an Anti-Windup Compensator
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