Fuzzy-scheduling control of a linear permanent magnet synchronous motor with payload variations

Abstract

This paper presents a fuzzy-scheduling control scheme, including the feedback of states and the integral of tracking errors, for a linear permanent magnet synchronous motor (LPMSM). First, a parameter-dependent system model of the LPMSM is addressed. With the consideration of payload variations, a perturbed system model is described for further robustness investigation. In this paper, a Takagi—Sugeno (T-S) model is adopted to deal with the regional quadratic stability, where sufficient conditions for ensuring the performance of concern are derived in the form of linear matrix inequalities. A digital signal processor (DSP)/field programmable gate array (FPGA)-based control platform is completed to evaluate the feasibility of the proposed works. Experimental results, associated with different payload conditions, illustrate that the proposed system has satisfactory controlled responses.

Keywords

fuzzy-scheduling LPMSM T-S model LMI regional stability

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References

Famouri

Control of a linear permanent magnet brushless dc motor via exact linearization method. IEEE Trans. Energy Conversion, 1992, 7(3), 544–551.

Liaw

C. M.

Shue

R. Y.

Chen

H. C.

Chen

S. C.

Development of a linear brushless DC motor drive with robust position control. IEE Proc.-Electr. Power Applic., 2001, 148(2), 111–118.

Shieh

N. C.

Tung

P. C.

Robust output tracking control of a linear DC brushless motor for transportation in manufacturing system. IEE Proc.-Electr. Power Applic., 2001, 148(2), 119–124.

Tan

K. K.

Lee

T. H.

Dou

H. F.

Chin

S. J.

Zhao

Precision motion control with disturbance observer for pulsewidth-modulated-driven permanent-magnet linear motors. IEEE Trans. Magnetics, 2003, 39(3), 1813–1818.

Hsu

S. C.

Liu

W. D.

Liu

C. H.

Liu

C. H.

An automated machine parameter identification and controller tuning procedure for a linear permanent magnet synchronous motor drive. J. Chin. Inst. Electr. Engng, 2003, 10(1), 56–67.

Aström

K. J.

Wittennark

Adaptive control, 1995 (Addison-Wesley, Reading, Massachusetts).

Liu

T.-H.

Cheng

C.-P.

Adaptive controller design for a linear motor control system. IEEE Trans. Aerospace and Electronic Systems, 2004, 40(2), 601–616.

Wang

H.-P.

Liu

Y.-T.

Integrated design of speed-sensorless and adaptive speed controller for a brushless DC motor. IEEE Trans. Power Electronics, 2006, 21(2), 518–523.

Tanaka

Wang

H. O.

Fuzzy control systems design and analysis: a linear matrix inequality approach, 2001 (John Wiley and Sons, Inc., New York).

10.

Cao

Y. Y.

Lin

Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation. IEEE Trans. Fuzzy Systems, 2003, 11(1), 57–67.

11.

Tanaka

Hori

Wang

H. O.

Multi-objective control of a vehicle with triple trailer. IEEE Trans. Mechatronics, 2002, 7(3), 357–368.

12.

Chipperfield

A. J.

Bica

Fleming

P. J.

Fuzzy scheduling control of a gas turbine aeroengine: A multiobjective approach. IEEE Trans. Ind. Electronics, 2002, 49(3), 536–548.

13.

Assawinchaichote

Nguang

S. K.

H_∞ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach. IEEE Trans. Systems, Man, and Cybernetics — Part B: Cybernetics, 2004, 34(1), 579–588.

14.

Assawinchaichote

Nguang

S. K.

H_∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: an LMI approach. IEEE Trans. Signal Processing, 2004, 52(6), 1654–1667.

15.

Lam

Robust H_∞ control for uncertain discrete-time-delay fuzzy systems via output feedback controllers. IEEE Trans. Fuzzy Systems, 2005, 13(1), 82–93.

16.

Park

Tahk

M.-J.

Bang

Design and analysis of optimal controller for fuzzy systems with input constraint. IEEE Trans. Fuzzy Systems, 2004, 12(6), 766–779.

17.

Boyd

Ghaoui

L. E.

Feron

L. E.

Balakrishnan

Linear matrix inequalities in systems and control theory, 1994 (SIAM).

18.

Gahinet

Nemirovski

Laub

A. J.

Chilali

LMI control toolbox, 1995 (The Math-Works Inc., Natick, Massachusetts).

19.

Gahinet

Apkarian

Chilali

Affine parameter-dependent Lyapunov functions and real parametric uncertainty. IEEE Trans. Autom. Control, 1996, 41(3), 436–442.

20.

Lee

C. H.

Shin

M. H.

Chung

M. J.

A design of gain-scheduled control for a linear parameter varying system: An application to flight control. Control Engng Practice, 2001, 9(1), 11–21.

21.

Lee

C. H.

Chung

M. J.

Gain-scheduled state feedback control design technique for flight vehicles. IEEE Trans. Aerospace and Electronic Systems, 2001, 37(1), 173–182.

22.

Bara

Daafouz

Kratz

Ragot

Parameter-dependent state observer design for affine LPV systems. Int. J. Control, 2001, 74(16), 1601–1611.

23.

Liao

Wang

J. L.

Yang

G. H.

Reliable robust flight tracking control: An LMI approach. IEEE Trans. Control System Technol, 2002, 10(1), 76–89.

24.

Kuo

B. C.

Golnaraghi

Automatic control systems, 2003 (John Wiley & Sons, Inc., New York).

25.

Gadewadikar

Lewis

F. L.

Aircraft flight controller tracking design using H-infinity static output-feedback. Trans. Inst. Measmt Control, 2006, 28(5), 429–440.

26.

26 TMS320C6711 Floating-point digital signal processors, Handbook of Texas Instruments, 2004.