Disturbance Rejection for Uncertain Discrete-Time Linear Systems Through Event-Triggered Control

This work addresses the problem of disturbance rejection for discrete-time linear uncertain systems through an event-triggered control. Assuming that the disturbances are generated by an exosystem and only the output of the plant is available for measurement, an observer-based event-triggered contro...

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Bibliographic Details
Published in:Journal of control, automation & electrical systems automation & electrical systems, 2022-02, Vol.33 (1), p.103-114
Main Authors: S. Viana, Éverton, Gomes da Silva, João Manoel, G. Moreira, Luciano, Sbarbaro, Daniel
Format: Article
Language:English
Subjects:
Asymptotic methods
Asymptotic properties
Computational geometry
Control
Control and Systems Theory
Control stability
Control systems
Convex analysis
Convexity
Discrete time systems
Disturbances
Electrical Engineering
Engineering
Event triggered control
Linear systems
Mechatronics
Optimization
Rejection
Robotics
Robotics and Automation
Robustness (mathematics)
Steady state
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Summary:This work addresses the problem of disturbance rejection for discrete-time linear uncertain systems through an event-triggered control. Assuming that the disturbances are generated by an exosystem and only the output of the plant is available for measurement, an observer-based event-triggered controller to ensure the robust asymptotic stability and the disturbance rejection in steady-state is proposed. Considering this setup, LMI-based conditions that ensure the perfect asymptotic disturbance rejection are derived and a convex optimization problem is proposed to systematically compute the event-triggering strategy parameters aiming at reducing the control updates. Since the perfect asymptotic rejection of non-constant disturbances degenerates to periodic (i.e. time-triggered) updates of the control signal in steady-state, a practical disturbance rejection mechanism based on a relaxed triggering criterion and a corresponding convex optimization problem is also proposed. Numerical examples illustrate the efficiency of the proposed techniques.
ISSN:2195-3880
2195-3899
DOI:10.1007/s40313-021-00832-8