T-S fuzzy control for magnetic levitation systems using quantum particle swarm optimization

Author

Yu, Gwo-Ruey ; Huang, Yu-Jie ; Huang, Lun-Wei

Author_Institution

Dept. of Electron. Eng., Nat. Chung Cheng Univ., Chiayi, Taiwan

fYear

2010

fDate

18-21 Aug. 2010

Firstpage

48

Lastpage

53

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 particle swarm optimization (QPSO) 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; control system synthesis; fuzzy control; linear matrix inequalities; magnetic levitation; nonlinear dynamical systems; nonlinear equations; particle swarm optimisation; stability; LMI; Lyapunov approach; PI controller; QPSO; T-S fuzzy control; T-S fuzzy model; error state equations; linear matrix inequalities; maglev systems; magnetic levitation systems; nonlinear dynamic equations; optimal gains; proportional integral controller; quantum particle swarm optimization; steady-state tracking error; system stability; Circuit stability; Equations; Force; Magnetic levitation; Mathematical model; Particle swarm optimization; Stability analysis; PSO; QPSO; T-S fuzzy; magnetic levitation systems;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference 2010, Proceedings of

Conference_Location

Taipei

Print_ISBN

978-1-4244-7642-8

Type

conf

Filename

5602473