The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
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Digital Control of An Inverted Pendulum by Using Intelligent Digital Redesign

지능형 디지탈 재설계를 이용한 도립 진자의 디지탈 제어

  • 장욱 (삼성전자 고등기술연구소) ;
  • 주영훈 (연세대 전기 및 전자공학과) ;
  • 박진배 (연세대 전기정보공학과)
  • Published : 2001.10.01
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Abstract

This paper presents a simple and new digital redesign algorithm for fuzzy-model-based controllers. In the first stage, a continuous-time TS fuzzy model is constructed for a given continuous-time nonlinear system and a corresponding continuous-time fuzzy-model-based controller is established based on the existing controller synthesis algorithms. In the second stage, the continuous-time fuzzy-model-based controller is converted to equivalent discrete-time fuzzy-model-based controller, aiming at maintaining the property of the analogue controlled system, which are called intelligent digital redesign. Finally, the proposed method is applied to the digital control of inverted pendulum system to shows the effectiveness and the effectiveness and the feasibility of the method.

Keywords

References

  1. L.A. Zadeh, 'Fuzzy sets,' Information and Control vol. 8, pp. 338-353, 1965 https://doi.org/10.1016/S0019-9958(65)90241-X
  2. E.H. Mamdani and S.Assilian, 'An experiment in linguistic synthesis with a fuzzy logic controller,' Int. Journal of Man-Machine Studies vol. 7, no. 1, pp. 1-13, 1975 https://doi.org/10.1006/ijhc.1973.0303
  3. T.Takagi and M.Sugeno, 'Fuzzy identification of systems and its applications to modeling and control,' IEEE Transactions on Fuzzy Systems, vol. 15, pp. 116-132, 1985
  4. H.O. Wang, K.Tanaka, and M.Griffin, 'An approach to fuzzy control of nonlinear systems:stability and design issues,' IEEE Transactions on Fuzzy Systems vol. 4, pp. 14-23, Feb., 1996 https://doi.org/10.1109/91.481841
  5. K.Tanaka, T.Keda, H.O.Wang, 'Robust stabilization a class of uncertain non-linear systems via fuzzy control:quadratic stabilizability, $H{\infty}$ control theory,and linear matrix inequalities,' IEEE Transactions on Fuzzy Systems vol. 4, pp.1-13, Feb., 1996 https://doi.org/10.1109/91.481840
  6. Y.H.oo, H.S.Hwang, K.B.Kim, and K.B.Woo, 'Fuzzy system modeling by fuzzy partition and GA hybridschemes,' Fuzzy Sets and System vol. 86, no. 3, pp. 279-288, 1997 https://doi.org/10.1016/S0165-0114(95)00414-9
  7. Y.H.oo, G.Chen, and L.S.Shieh, 'Hybridstate-space fuzzy model-based controller with dual-rate sampling for digital control of chaotic systems,' IEEE Transactions on fuzzy Systems vol. 7, pp. 394-408, Aug., 1999 https://doi.org/10.1109/91.784199
  8. H.Lee, J.B.Park, and G.Chen, 'Robrust fuzzy control of nonlinear systems with parametric uncertainties,' IEEE Transactions on Fuzzy Systems 2000.(to be published)
  9. L.S.Shieh, X.M.Zhao, and J.W.Sunkel, 'Hybridstate-space self-tuning control using dual-rate sampling,' IEE Proceedings-D vol. 138, pp. 50-58, Jan., 1991
  10. L.E.Sheen, L.S.H.Tsai, and L.S.Shieh, 'Optimal digital redesign of continuous-time systems with input time delay and/or asynchronous sampling,' Journal of Frankling Institute vol. 335, no. 4, pp. 605-616, 1996 https://doi.org/10.1016/S0016-0032(96)00139-1
  11. N.Rafee, T.Chen, and O.P.Malik, 'A technique for optimal digital redesign of analog controllers,' IEEE Transactions on Control Systems Technology vol. 5, pp. 89-99, Jan., 1997 https://doi.org/10.1109/87.553667
  12. T.Chen and B.A.Francis, '$H_2$ optimal sampled-data control,' IEEE Transactions on Automatic Control, vol. 36, pp. 387-397, Apr., 1991 https://doi.org/10.1109/9.75098
  13. M.Sugeno and G.T.Kang, 'Structure identification of fuzzy model,' Fuzzy Sets and Systems vol. 28, pp. 15-33, 1988 https://doi.org/10.1016/0165-0114(88)90113-3
  14. F.H.F.Leung, L.K.Wong, and P.K.S.Tam, 'Fuzzy model basedcontroller for an invertedpendulum,' Electronics Letters, vol. 32, no. 8, pp. 1683-1685, 1996 https://doi.org/10.1049/el:19961134