Wen Kang, Emilia Fridman, Jing Zhang, Jun-Min Wang
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引用次数: 0
Abstract
This paper addresses a switched sampled-data control design for stabilization of the N-dimensional (N-D) semilinear heat equation with a mobile actuator. It is supposed that discrete-time averaged measurements are available. The system is known to be stabilizable by the static output-feedback employing several distributed in space actuators and sensors, but is not stabilizable by only one of the actuator-sensor pairs. Does there exist a switching stabilizing static output-feedback such that at all times, only one actuator-sensor pair is active? In our recent paper we gave a positive answer and found the appropriate switching sampled-data time-triggered control law for the one-dimensional (1-D) case. In this paper, to enlarge the time between switching (which means to reduce the frequency of actuator moving to the active domain), we present an event-triggered control for stabilization by switching. Moreover, we extend the results for stabilization by switching to the N-D case. Numerical examples show that the switching-based event-triggered controller essentially decreases the frequency of the actuator moving compared to the time-triggered controller, reducing operating costs.
期刊介绍:
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.