Transactions on Control, Automation and Systems Engineering

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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Time-Delayed and Quantized Fuzzy Systems: Stability Analysis and Controller Design

  • Published : 2000.12.01
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Abstract

In this paper, the design methodology of digital fuzzy controller(DFC) for the systems with time-delay is presented and the qualitative effects of the quantizers in digital implementation of a fuzzy controllers are investigated. We propose the fuzzy feed-back controller whose output is delayed with unit sampling period and period and predicted. the analysis and the design problem considering time-delay become very easy because the proposed controller is syncronized with the sampling time. The stabilization problem of the digital fuzzy system with time-delay is solved by linear matrix inequality(LMI) theory. Furthermore, we analyze the stability of the quantized fuzzy system. Our results prove that when quantization os taken into account, one only has convergence to some small neighborhood about origin. We develop a fuzzy control system for backing up a computer-simulated truck-trailer with the consideration of time-delay and quantization effect. By using the proposed method, we analyze the quantization effect to the system and design a DFC which guarantees the stability of the control system in the presence of time-delay.

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References

  1. IEEE Trans. Systems, Man, and Cybernetics v.15 no.1 Fuzzy identification of systems and its applications to modeling and control T. Takagi;M. Sugeno
  2. Fuzzy Sets and Systems v.45 no.2 Stability analysis and design of fuzzy control systems K. Tanaka;M. Sugeno
  3. Fuzzy Sets and Systems v.77 An approach to systematic design of fuzzy control system C. S. Ting;T. H. S. Li;F C. Kung
  4. IEEE Trans. Fuzzy Systems v.4 no.1 An approach to fuzzy control of nonlinear systems: Stability and design issues H. O. Wang;K. Tanaka;M.F Griffin
  5. IEEE Trans. Fuzzy Systems v.28 no.3 Backing control problem of a mobile robot with multiple trailers: fuzzy modeling and LMI-based design K. Tanaka;T. Kosaki;H. O. Wang
  6. Int. J. Control v.72 no.7;8 Non-linear control system design via fuzzy modelling and LMIs K. Kiriakidis
  7. Int. J. Contr. v.38 no.5 Some properties of delayed controls I. Horowitz
  8. Automatica v.30 no.7 Self-tuning PI-PID regulators for stable systems with varying delay A. Leva;C. Maffezzoni;R. Scattolini
  9. IEE Proceedings-Control Theory and Applications v.146 no.5 Autotuning and controller design for processes with small time delays S. Majhi;D. P. Atherton
  10. IEEE Trans. Automatic Control v.44 no.4 Some qualitative properties of multirate digital control systems Bo Hu;A. N. Michel
  11. IEEE Trans. Fuzzy Systems v.7 no.1 Consequences of the digitization on the performance of a fuzzy logic controller I. Del Campo;J. M. Tarela
  12. IEEE Trans. Fuzzy Systems v.7 no.5 Higher order fuzzy control structure for higher order or time-delay systems H. X. Li;S. K. Tso
  13. IEEE Trans. Fuzzy Systems v.2 no.2 A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer K. Tanaka;M. Sano
  14. Linear matrix inequalities in systems and control theory S. Boyd;L. E. Ghaoui;E. Feron;V. Balakrishnan
  15. Interior-point polynomial methods in convex programming Y. Nesterov;A. Nemirovsky
  16. Nonlinear systems K. Khalil
  17. Ordinary diferential equations R. K. Miller;A. N. Michel
  18. Proc. of 8th Fuzzy System Symp. Backer-upper control of a trailer truck by neuro-fuzzy optimal control M. Tokunaga;H. Ichihashi
  19. IEEE Trans. Systems, Man, and Cybernetics v.27 no.3 Design of a stable fuzzy controller for an articulated vehicle K. Tanaka;T. Kosaki
  20. LMI Control Toolbox P. Gahinet;A. Nemirovski;A. Laub;M. Chilali