title: Takagi-Sugeno fuzzy modeling and chaos control of partial differential systems.
abstract: In this paper a unified approach is presented for controlling chaos in nonlinear partial differential systems by a fuzzy control design. First almost all known chaotic partial differential equation systems are represented by Takagi-Sugeno fuzzy model. For investigating design procedure, Kuramoto-Sivashinsky (K-S) equation is selected. Then, all linear subsystems of K-S equation are transformed to ordinary differential equation (ODE) systems by truncated Fourier series of sine-cosine functions. By solving Riccati equation for each ODE systems, parallel stabilizing feedback controllers are determined. Finally, a distributed fuzzy feedback for K-S equation is designed. Numerical simulations are given to show that the distributed fuzzy controller is very easy to design, efficient, and capable to extend.
authors.affiliation: Faculty of Electrical and Computer Engineering, Shahid Rajaee Teacher Training University, Lavizan, Tehran, Iran.
authors.forename: Nastaran
authors.initials: N
authors.lastname: Vasegh
authors.affiliation: Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Evin, Tehran, Iran.
authors.forename: Farhad
authors.initials: F
authors.lastname: Khellat
mesh_terms: D017143:Fuzzy Logic; D008962:Models, Theoretical