NDLI: Observer-based output feedback control for a boundary controlled fractional reaction diffusion system with spatially-varying diffusivity

Content Provider	IET Digital Library
Author	Chen, Juan Cui, Baotong Chen, Yang
Abstract	This study is concerned with observer design and observer-based output feedback control for a fractional reaction diffusion (FRD) system with a spatially-varying (non-constant) diffusion coefficient by the backstepping method. The considered FRD system is endowed with only boundary measurable and actuation available. The contribution of this study is divided into three parts: first is the backstepping-based observer design for the FRD system with non-constant diffusivity, second is the output feedback controller generated by the integration of a separately backstepping-based feedback controller and the proposed observer to stabilise the FRD system with non-constant diffusivity, and the last is the Mittag–Leffler stability analysis of the observer error and the closed-loop FRD systems. Specifically, anti-collocated location of actuator and sensor is considered in the stabilisation problem of this system with Robin boundary condition at x = 0 and the boundary feedback controller for Dirichlet actuation at x = 1 . By designing an invertible coordinate transformation to convert the observer error system into a Mittag–Leffler stable target system, the observer gains are obtained. They are used to design the output feedback control law for stabilising the closed-loop system. Finally, a numerical example is shown to validate the effectiveness of the authors' proposed method.
Starting Page	1561
Ending Page	1572
Page Count	12
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 11, Jul (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1352
Journal	IET Control Theory & Applications
Publisher Date	2018-04-03
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Actuation Asymptotic Stability Boundary Feedback Controller Boundary Measurable Closed Loop System Closed-loop FRD System Closed-loop System Considered FRD System Control Nonlinearities Control System Analysis Control System Synthesis Diffusion Feedback Fractional Reaction Diffusion System Lyapunov Method Mathematical Analysis Mittag–Leffler Stable Target System Nonconstant Diffusivity Nonlinear Control System Observer Design Observer Error System Observer Gain Observers Output Feedback Control Law Output Feedback Controller Partial Differential Equation Reaction-diffusion System Stability Stability in Control Theory Synthesis Method
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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