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

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.

Automated summary

This article focuses on the problem of distributed robust stabilization for uncertain fractional-order reaction-diffusion systems (FRDS) by using two distributed output feedback control strategies. The distributed robust controllers are designed based on the two measurement methods, and sufficient conditions for the stability of the closed-loop system are obtained using Lyapunov direct method, Mittag-Leffler function, and linear matrix inequality technique. Numerical studies are provided to demonstrate the effectiveness of the designed robust distributed controllers.