Boundary Stabilization for the Rayleigh Beam System under Event-triggered Controls
Siwen Wang, Yi Cheng, Yuhu Wu, Yongxin Wu (UMLP,ENSMM,FEMTO-ST), Wen Kang (BIT)
TL;DR
This paper introduces two event-triggered control laws to stabilize the boundary of a Rayleigh beam system, ensuring exponential stability with a specified decay rate, validated through numerical examples.
Contribution
It develops novel event-triggered control strategies for boundary stabilization of Rayleigh beams, providing explicit conditions for stability and decay rate.
Findings
Guaranteed exponential stability under the proposed controls
Explicit parameter conditions for stability and decay rate
Numerical examples confirm control effectiveness
Abstract
In this paper, we propose two event-triggered control laws incorporating an eventtriggering mechanism to tackle the boundary stabilization for the Rayleigh beam system. Under this event-triggered controls, a sufficient condition for parameter determination is constructed to guarantee the exponential stability of the closed-loop system by using the integral multiplier technique and energy perturbation method, wherein the desired exponential decay rate can be precisely determined. Numerical examples are presented to demonstrate the efficacy of the event-triggered control methodology.
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