A control Lyapunov function approach to event-triggered parameterized control for discrete-time linear systems

This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear combination of a fixed set of linearly independent scalar fu...

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Bibliographic Details
Published inEuropean journal of control p. 101325
Main Authors Rajan, Anusree, Parmeshwar, Kushagra, Tallapragada, Pavankumar
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2025
Subjects
Control Lyapunov function
Event-triggered control
Parameterized control
Parameterized control
Event-triggered control
Control Lyapunov function
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Summary:This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear combination of a fixed set of linearly independent scalar functions. The controller updates the coefficients of the parameterized control input in an event-triggered manner so as to minimize a quadratic cost function subject to quadratic constraints and communicates the same to the actuator. We design an event-triggering rule that guarantees global uniform ultimate boundedness of trajectories of the closed loop system and non-trivial inter-event times. We illustrate our results through a numerical example and we also compare the performance of the proposed control method with other existing control methods in the literature.
ISSN:0947-3580
DOI:10.1016/j.ejcon.2025.101325