Tracking Control of a Sampled Nonlinear System via Fuzzy Logic Theory

퍼지제어 이론을 이용한 샘플된 비선형 시스템의 추적제어에 대한 연구

  • 김은태 (연세대학교 전기전자공학부)
  • Published : 2003.11.01

Abstract

This paper presents a fuzzy logic based approach to tracking control of a sampled nonlinear system. It is assumed that the plant to be controlled is under both the internal uncertainty and the external disturbances. Discrete-time adaptive fuzzy control method is proposed and its parameters are determined by the recently-spolighted convex optimization technique called LMI. Finally, the computer simulation is tarried out to verify the effectiveness of the proposed method.

본 논문에서는 퍼지 논리 제어기를 이용한 샘플된 비선형 시스템의 추적제어 방식을 제안한다. 본 논문에서 사용되는 제어대상은 내부 파라미터의 변화와 외부 외란을 모두 경험하는 것으로 한다. 이산시간 적응 퍼지 제어기가 제안되고 그 파라미터는 최근 각광을 받고있는 선형행렬 부등식 방식에 의하여 결정된다. 마지막으로 모의실험을 통하여 제안된 제어기의 타당성을 검증한다.

Keywords

References

  1. J. L. Castro and M. Delgado, 'Fuzzy systems with difuzzification are universal approximators,' IEEE Trans. Sys. Man and Cyber., vol. 26, pp. 149-152, 1996 https://doi.org/10.1109/3477.484447
  2. L. -X. Wang, A Course in Fuzzy Systmes and Control, NJ : Prentice-Hall, 1997
  3. L. -X. Wang, 'Stable adaptive fuzzy control of nonlinear systems,' IEEE Trans. Fuzzy Systems, vol. 1, no. 2, pp. 146-155, Feb 1993 https://doi.org/10.1109/91.227383
  4. J. T. Spooner and K. M. Passino, 'Stable adaptive control using fuzzy systems and neural networks,' IEEE Trans. Fuzzy Systems, vol. 4, no. 3, pp 339-359, Aug., 1996 https://doi.org/10.1109/91.531775
  5. R. Ordonez and K. M. Passino, 'Stable multi-input multi-output adaptive fuzzy/neural control,' IEEE Trans. Fuzzy Systems, vol. 7, no. 3, pp 345-353, Jun., 1999 https://doi.org/10.1109/91.771089
  6. B. S. Chen, C. H. Lee and Y. C. Chang, '$H{\infty}$ tracking design of uncertain nonlinear SISO systmes: adaptive fuzzy approach,' IEEE Trans. Fuzzy Systems, vol. 4, no. 1, pp 32-43, Feb., 1996 https://doi.org/10.1109/91.481843
  7. W. -Y. Wang, M. -L. Chan, C. -C. Hsu, and T. -T. Lee, '$H^{\infty}$ tracking-based sliding mode control for uncertain nonlinear systmes via an adaptive fuzzy-neural approach,' IEEE Trans. Sys. Man and Cyber., -Part B: Cyber. , vol. 32, No. 4, pp. 483-492, 2002 https://doi.org/10.1109/TSMCB.2002.1018767
  8. S. Jagannathan, M. W. Vandergrift, and F. L. Lewis, 'Adaptive fuzzy logic control of discrete-time dynamical systems,' Automatica, vol. 36, pp. 229-241, 2000 https://doi.org/10.1016/S0005-1098(99)00143-0
  9. Q. Song, J. Xiao, and Y. Soh, 'Robust backpropagation training algorithm for multilayered neural tacking controller,' IEEE Tarans. Neural Networks, vol. 10, no. 5, pp. 1133-1141, 1999 https://doi.org/10.1109/72.788652
  10. S. Jagannathan, 'Adaptive fuzzy logic control of feedback linearizable discrete-time dynamical systems under persistence of excitation,' Automatica, vol. 34, no. 11, pp. 1295-1310, 1998 https://doi.org/10.1016/S0005-1098(98)00084-3