Stability analysis and design for T-S fuzzy descriptor systems

Author

Wang, Y. ; Zhang, Q.L. ; Liu, W.Q.

Author_Institution

Coll. of Sci., Northeastern Univ., Boston, MA, USA

Volume

4

fYear

2001

fDate

2001

Firstpage

3962

Abstract

Based on the theory of interval dynamic systems, the T-S fuzzy descriptor system is converted into a linear continuous-time descriptor system with norm-bounded perturbations in matrices E, A, B and C. According to the difference of the derivative matrix, the paper gives sufficient and necessary conditions for the stability of the system in two cases. In the special case, a linear state feedback control law is given to stabilize the fuzzy descriptor system. Simulation results show the effectiveness of the proposed method

Keywords

continuous time systems; control system analysis; control system synthesis; fuzzy control; fuzzy systems; linear systems; matrix algebra; stability; state feedback; T-S fuzzy descriptor systems; Takagi-Sugeno fuzzy descriptor systems; derivative matrix; interval dynamic systems; linear continuous-time descriptor system; linear state feedback control law; matrices; norm-bounded perturbations; stability analysis; sufficient and necessary conditions; Australia; Control systems; Educational institutions; Fuzzy control; Fuzzy logic; Fuzzy systems; Humans; Linear feedback control systems; Stability analysis; State feedback;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980501

Filename

980501