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arXiv · 2411.12239

A Control Lyapunov Function Approach to Event-Triggered Parameterized Control for Discrete-Time Linear Systems

Anusree Rajan·Kushagra Parmeshwar·Pavankumar Tallapragada
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Abstract

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 numerical examples and we also compare the performance of the proposed control method with other existing control methods in the literature.

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BibTeXRIS

Anusree Rajan, Kushagra Parmeshwar, Pavankumar Tallapragada. 2024-11-19. A Control Lyapunov Function Approach to Event-Triggered Parameterized Control for Discrete-Time Linear Systems. https://arxiv.org/abs/2411.12239

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