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# Event-Triggered Control Systems Open Access

## Descriptions

Other title
Subject/Keyword

Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Mousavi, Seyed H.
Supervisor and department
Marquez, Horacio J. (Electrical and Computer Engineering)
Examining committee member and department
Tavakoli, Mahdi (Electrical and Computer Engineering)
Zhao, Qing (Electrical and Computer Engineering)
Prasad, Vinay (Chemical and Materials Engineering)
De Ruiter, Anton (Aerospace Engineering)
Department
Department of Electrical and Computer Engineering
Specialization
Control Systems
Date accepted
2016-09-21T15:43:21Z
2016-06:Fall 2016
Degree
Doctor of Philosophy
Degree level
Doctoral
Abstract
Event-triggered control have increasingly become an active area of research in the last decade, thanks to their potential capability in reducing data communication between subsystems during control action. In this research we tackle some practical problems encountered in this field and endeavor to improve the state of the art. We first start by designing periodic event-triggered control (PETC) for both state feedback and output feedback systems. PETC is a subclass of even-based systems, where the triggering conditions (TCs) are verified on a clock-driven basis. Despite their efficiency and advantages from practical of view, they have received less attention, compared to the other classes of event-driven systems. we first consider designing state feedback PETC for a class of nonlinear systems. We then, extend our result to the more challenging case of output feedback systems where, two independent TCs (with different sampling rates) are considered for plant and controller. In the next part of this research we study the effect of noise in the implementation of event-based systems. Basically, the destructive impact of noise has been largely ignored in these class of systems. In this regard, first it is shown that how the output measurement noise can easily trigger unnecessary samples and deteriorate the performance of the systems. Then a novel triggering mechanism is proposed which reduces the effect of noise in the event-triggering scheme. Next, the same idea is extended to the observation problem, and a noise effective event-based observer is designed for LTI systems which assures $H_{\infty}$ performance for the estimation error. We then turn our attention to the fundamental problem of designing stable non-conservative event-triggered systems. We claim that most of the work reported in the literature is based on Lyapunov conditions that carry some intrinsic conservatism. We propose a novel integral-based condition that relaxes the strong conditions previously reported and can reduce communication between plant and controller. Finally, we consider decentralized event-triggered control for a class of nonlinear systems. We propose new decentralized TCs and show their efficiency compared to existent results.
Language
English
DOI
doi:10.7939/R3FN10X79
Rights
This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for the purpose of private, scholarly or scientific research. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
Citation for previous publication
S. H. Mousavi, H. J. Marquez, “Event Based Controller Design for a Class of Nonlinear Systems via Convex Optimization”, IEEE Proc. Conf. Dec. Control”, 2014, pp. 1250-1255.S. H. Mousavi, M. Ghodrat, H. J. Marquez, “A Novel Integral-Based Event Triggering Control for Linear Time-Invariant Systems,” IEEE Proc. Conf. Dec. Control, 2014, pp.1239-1243.S. H. Mousavi, M. Ghodrat, H. J. Marquez, “Integral-Based Event-Triggered Control Scheme for a General Class of Nonlinear systems”, IET Control Theory & Applications, Vol. 9, Issue 13, 2015, pp. 1982-1988S. H. Mousavi, H. J. Marquez, “Integral-Based Event Triggering Controller Design for Stochastic LTI Systems via Convex Optimization”, International Journal of Control, Vol. 89, Issue 7, 2016, pp. 1416-1427.

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