Stable Fuzzy Adaptive Controller Design For Nonlinear Singularly Perturbed Systems

Author

Li, Li ; Sun, Fuchun

Author_Institution

Dept. of Comput. Sci. & Technol., Tsinghua Univ., Beijing

Volume

2

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

1388

Lastpage

1394

Abstract

In this paper, the singularly perturbed systems are decomposed into slow and fast subsystems. An adaptive fuzzy controller is designed for slow subsystems to satisfy the tracking requirement. To alleviate the tracking error, the controller is constructed by T-S fuzzy model system since it has superior approximation performance than Mamdani system. As for fast subsystem, a fuzzy controller is developed to stabilize the fast states. To guarantee the stability of the SP systems, Lyapunov composite technique is proposed

Keywords

Lyapunov methods; adaptive control; control system synthesis; fuzzy control; nonlinear control systems; singularly perturbed systems; Lyapunov composite technique; Mamdani system; SP system stability; T-S fuzzy model system; nonlinear singularly perturbed systems; stable fuzzy adaptive controller design; tracking error; Adaptive control; Control systems; Fuzzy control; Fuzzy systems; Nonlinear control systems; Optimal control; Programmable control; Sliding mode control; Stability; Systems engineering and theory; Adaptive fuzzy control; T-S model; nonlinear singularly perturbed systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Engineering in Systems Applications, IMACS Multiconference on

Conference_Location

Beijing

Print_ISBN

7-302-13922-9

Electronic_ISBN

7-900718-14-1

Type

conf

DOI

10.1109/CESA.2006.4281855

Filename

4281855