Backstepping design for a class of coupled parabolic PDEs with spatially varying coefficient. Issue 5 (23rd April 2019)

• Record Type: Journal Article
• Authors: Ghaderi, Najmeh; Keyanpour, Mohammad
• Is Part Of: Asian journal of control. Volume 22:Issue 5(2020)
• Page Start: 2017
• Page End: 2028
• Publication Date: 2019-04-23
• Subjects: backstepping control design -- coupled parabolic partial differential equations -- distributed parameter systems -- Lyapunov function; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2104
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: In this paper, we concentrate on the state feedback stabilization of a class of coupled parabolic partial differential equations with space dependent diffusion coefficients. To stabilize the system, we design a state feedback controller using the backstepping technique. Namely, we convert the original system into a stable desired system called the target system to obtain a backstepping feedback controller. We prove that the feedback controller causes the main system to be exponential stable. Also, the numerical simulations show that validity and efficiency of theoretical results.