Adaptive Feedback Linearization Control Based on Airgap Flux Model for Induction Motors

다국어 초록 (Multilingual Abstract)

This paper presents an adaptive feedback linearization control scheme for induction motors with simultaneous variation of rotor and stator resistances. Two typical modeling techniques, rotor flux model and stator flux model, have been developed and successfully applied to the controller design and adaptive observer design, respectively. By using stator fluxes as states, over-parametrization in adaptive control can be prevented and control strategy can be developed without the need of nonlinear transformation. It also decrease the relative degree for the flux modulus by one, thereby, yielding a simple control algorithm. However, when this method is used for flux observer, it cannot guarantee the convergence offlux. Similarly, the rotor flux model may be appropriate for observers, but it is not so for adaptive controllers. In addition, if these two existing methods are merged into overall adaptive control system, it brings about structural complexies. In this paper, we did not use these two medeling methods, and opted for the airgap flux model which takes on only the positive aspects of the existing rotor flux model and stator flux model and prevents structural complexity from occuring. Through theoretical analysis by using Lyapunov's direct method, simulations, and actual experiments, it is shown that stator and rotor resistances converge to their actual values, flux is well estimated, and torque and flux are controlled independently with the measurements of rotor speed, stator currents, and stator voltages. These results were achieved under the persistent excitation condition, which is shown to hold in the simulation.

목차 (Table of Contents)

• Abstract
• 1. INTRODUCTION
• 2. MODELING AND ERROR DYNAMICS DERIVATION
• 3. DESIGN OF THE TORQUE AND FLUX CONTROLLER AND ERROR DYNAMICS
• 4. ADAPTIVE LAW DESIGN AND CONVERGENCE ANALYSIS
• 5. SIMULATIONS
• 6. EXPERIMENTS
• 7. CONCLUSION
• REFERENCES

참고문헌 (Reference)

1 "Theoretical and experimental comparison of two nonlinear controller for current-fed induction motors" 5 (5): 338-347, 1997.

2 "The principle of field orientation applied to the new transvector closed-loop control system for rotating field machines" 39 : 217-220, 1972.

3 "Th. Von Raumer Applied nonlinear control of an induction motor using digital signal processing" 2 : 327-335, 1994.

4 "Stator resistance tuning in a stator-flux field-oriented drive using an instantaneous hybrid flux estimator" 13 (13): 125-133, 1998.

5 "Proc. of PESC" 870-876, 1988.

6 "Output feedback control of current-fed induction motors with unknown rotor resistance" 4 (4): 336-346, 1996.

7 "On speed control of induction motors" 32 (32): 455-460, 1996.

8 "Observers for flux estimation in induction machines IEEE Trans. on Industrial Electronics" 35 : 85-94, 1988.

9 "Nonlinear flux-observer-based control of induction motor Proc. of American Control Conf." 1700-1704, 1992.

10 "Nonlinear feedback and control strategy of the induction motor Proc. of IFAC Nonlin. Contr. Systems Design Sympos." 162-167, 1992.

11 "Nonlinear Control Design - Geometric, Adaptive and Robust" Prentice-Hall 1995.

12 "Induction machine field orientation along airgap and stator flux IEEE Trans. on Energy Conversion" 5 : 115-120, 1990.

13 "Implementation of direct stator flux orientation control on a versatile DSP based system" 27 : 694-700, 1991.

14 "Global adaptive output feedback control of induction motors with uncertain rotor resistance" 44 (44): 967-983, 1999.

15 "Design of exact nonlinear controller for induction motors" A. De Luca and G. Ulvi 34 : 1304-1307,

16 "Control of induction motors via feedback lineariation with input-output decoupling" 51 : 863-883, 1990.

17 "An output feedback globally stable controller for induction motors" 40 (40): 138-143, 1995.

18 "Adaptive observer-based control of induction motors with unknown rotor resistance" 10 : 345-363, 1996.

19 "Adaptive input-output linearizing control of induction motors" 38 : 208-221, 1993.

20 "A new approach to dynamic feedback linearization control of an induction motor" 43 (43): 391-396, 1998.