Intelligent PID Controller Design Using Root-Locus Analysis for Systems with Parameter Uncertainties

불확실한 파라미터를 갖는 시스템을 위한 근궤적법을 이용한 지능형 PID 제어기 설계

  • Published : 2008.10.01

Abstract

In this research, a simple technique for designing PID controller, which guarantees robust stability for two-mass systems with parameter uncertainties as well as rigid-body behavior and zero steady-state error,is described. As well, such a PID controller is designed to mate two important frequencies, at which the given system is excited, very close so that an appropriate reference profile generated by using command shaping techniques can cover those two frequencies. Root-locus analysis. which shows traces of closed-loop poles for the given system, is used to design this PID controller. Finally, feedforward controller is added to improve tracking performance of the closed-loop system. Simulation for a system with a flexible mode and parameter uncertainties is executed to prove the feasibility of this technique.

Keywords

References

  1. Yamada, I. and Nakagawa, M., "Reduction of residual vibration in positioning control mechanism," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 107, No. 1, pp. 47-52, 1985 https://doi.org/10.1115/1.3274715
  2. Mita, T., "Optimal digital feedback control systems counting computation time of control laws," IEEE Transactions on Automatic Control, Vol. 30, Issue 6, pp. 542-548, 1985 https://doi.org/10.1109/TAC.1985.1104007
  3. Meckl, P. H. and Seering, W. P., "Reducing Residual Vibration in Systems with Uncertain Resonances," IEEE Cont. Syst. Mag., Vol. 8, No. 2, pp. 73-76, 1988 https://doi.org/10.1109/37.1877
  4. Meckl, P. H. and Seering, W. P., "Experimental Evaluation of Shaped Inputs to Reduce Vibration for a Cartesian Robot," ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 112, No. 2, pp. 159-165, 1990 https://doi.org/10.1115/1.2896122
  5. Singhose, W., Singer, N. and Seering, W., "Preshaping command inputs to reduce system vibration," ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 112, Issue 1, pp. 76-82, 1990 https://doi.org/10.1115/1.2894142
  6. Shin, Y., "A Control Strategy for Systems with Single Flexible Mode to Reduce Residual Vibration," Journal of the Korean Society for Precision Engineering, Vol. 24, No. 11, pp. 91-100, 2007
  7. Meckl, P. H. and Seering, W. P., "Minimizing residual vibration for point-to-point motion," ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 107, No. 4, pp. 378-382, 1985 https://doi.org/10.1115/1.3269276
  8. Fujisaki, Y. and Ikeda, M., "A Two-Degree-of-Freedom Design of Optimal Servosystems for General Reference Signals," Proc., 32nd Conf. on Decision & Cont., Vol. 4, pp. 3808-3810, 1993
  9. Shin, Y. and Meckl, P. H., "Controller Design Procedure for Systems with Flexible Modes," ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 130, Issue 3, pp. 031002.1-031002.13, 2008 https://doi.org/10.1115/1.2837311
  10. Wie, B. and Bernstein, D. S., "A Benchmark problem for Robust Control Design," Proc. American Control Conference, 1990