Distributed robust output feedback control of uncertain fractional-order reaction-diffusion systems

Autor: Ailiang Zhao, Junmin Li, Yanfang Lei, Aili Fan
Rok vydání: 2022
Předmět:
Zdroj: Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. 237:86-101
ISSN: 2041-3041
0959-6518
DOI: 10.1177/09596518221118125
Popis: This article focuses on the problem of distributed robust stabilization for a class of uncertain fractional-order reaction–diffusion systems (FRDS) by using two distributed output feedback control strategies: pointwise control based on collocated pointwise measurements and piecewise control based on collocated piecewise measurements. First, the corresponding distributed robust feedback controllers are designed based on the two measurement methods. Then, based on the Lyapunov direct method, Mittag-Leffler (M-L) function, and linear matrix inequality technique (LMI), sufficient conditions for the Mittag-Leffler stability of the closed-loop system are obtained in terms of linear matrix inequalities, respectively. Finally, numerical studies are given to verify the effectiveness of the robust distributed controllers designed in this article.
Databáze: OpenAIRE