T-S Fuzzy Control of Magnetic Levitation Systems Using QEA

Author

Yu, Gwo-Ruey ; Huang, Yu-Jie

Author_Institution

Dept. of Electr. Eng., Nat. Ilan Univ., Ilan, Taiwan

fYear

2009

fDate

7-9 Dec. 2009

Firstpage

1110

Lastpage

1113

Abstract

This paper proposed the design of T-S fuzzy control for magnetic levitation systems. The maglev systems are linearized at the equilibrium point first. Then the error state equations are derived and the proportional integral (PI) controller is applied to eliminate the steady-state tracking error. The nonlinear dynamic equations of the magnetic levitation systems are represented by a T-S fuzzy model. The optimal gains are found by using particle swarm optimization (PSO) and quantum-inspired evolutionary algorithm (QEA) respectively. The stability of the system is guaranteed by linear matrix inequalities (LMI) from Lyapunov approach. Computer simulations demonstrate the effectiveness of this design.

Keywords

Lyapunov methods; PI control; evolutionary computation; fuzzy control; linear matrix inequalities; magnetic levitation; particle swarm optimisation; LMI; Lyapunov approach; PSO; QEA; T-S fuzzy control; computer simulations; linear matrix inequalities; magnetic levitation systems; nonlinear dynamic equations; particle swarm optimization; proportional integral controller; quantum-inspired evolutionary algorithm; steady-state tracking error elimination; system stability; Computer errors; Error correction; Fuzzy control; Integral equations; Magnetic levitation; Nonlinear dynamical systems; Nonlinear equations; Pi control; Proportional control; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Innovative Computing, Information and Control (ICICIC), 2009 Fourth International Conference on

Conference_Location

Kaohsiung

Print_ISBN

978-1-4244-5543-0

Type

conf

DOI

10.1109/ICICIC.2009.346

Filename

5412469