State control of discrete-time linear systems to be bound in state variables by equality constraints

European Workshop on Advanced Control and Diagnosis

Filasová, Anna^1 ; Krokavec, Duan^1 ; Serbák, Vladimír^1

Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Kosice, Letná 9, Koice

042 00, Slovakia^1

关键词: Design condition;    Discrete time;    Discrete time linear systems;    Equality constraints;    Lyapunov inequality;    Optimal performance;    State variables;    Symmetric positive definite;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/570/2/022005/pdf
DOI  :  10.1088/1742-6596/570/2/022005

来源: IOP

【 摘 要 】

The paper is concerned with the problem of designing the discrete-time equivalent PI controller to control the discrete-time linear systems in such a way that the closed-loop state variables satisfy the prescribed equality constraints. Since the problem is generally singular, using standard form of the Lyapunov function and a symmetric positive definite slack matrix, the design conditions are proposed in the form of the enhanced Lyapunov inequality. The results, offering the conditions of the control existence and the optimal performance with respect to the prescribed equality constraints for square discrete-time linear systems, are illustrated with the numerical example to note effectiveness and applicability of the considered approach.