A Control Lyapunov Function Approach to Event-Triggered Parameterized Control for Discrete-Time Linear Systems
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.
Cite
@article{arxiv.2411.12239,
title = {A Control Lyapunov Function Approach to Event-Triggered Parameterized Control for Discrete-Time Linear Systems},
author = {Anusree Rajan and Kushagra Parmeshwar and Pavankumar Tallapragada},
journal= {arXiv preprint arXiv:2411.12239},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2402.16337