Boundary and Pointwise Control actuation of one-dimensional heat equation process via the Takagi-Sugeno Fuzzy PDE Model |
Mohamed Oumansour, Abdelhakim Ballouk, Abdennaceur Baghdad, Abdelaziz Mouhou
Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
Jan 28, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In the last few decades there has been a growing interest in Distributed Parameter Systems (DPS), encountered for instance in heat diffusion, flow process, wave propagation and many other fields [1]. This DPS are described by Partial Differential Equations (PDE) with two or more independent variables, that are usually time and space. There are three types of PDE: hyperbolic, parabolic and elliptic. Our work concentrates on the control of DPS using two approaches. The first one is the boundary control [2], which is applied to actuate the boundary value of the state variable (Dirichlet ...