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Digital redesign and performance evaluation using the energy resemblance index (ERI)

Digital redesign and performance evaluation using the energy resemblance index (ERI)

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The paper proposes a new performance index, the energy resemblance index (ERI), to address the performance evaluation and design issues in the digital redesign of analogue control systems. The ERI is defined as the ratio of the integral of the square error (ISE) of the continuous-time system over the error sequence energy (ESE) of the redesigned digital system. By directly transforming the analogue controller into a digital controller as a function of sampling time, ESEs using different discretisation methods for the redesigned system can be obtained via a recursive formula. The authors prove that the ESE will approach the ISE as the sampling time approaches zero for discretisation methods which satisfy a simple condition. Performance of the redesigned digital control system using different discretisation methods at different sampling times can be evaluated based on this index. As for the design, the proper sampling time can be determined based on the user-specified ERI percentage, so that the redesigned digital system performs accordingly. It is found that performance of the redesigned digital system depends on the discretisation method used, the controlled process and the sampling time chosen. There is no particular discretisation method which outperforms the others in all cases.

References

    1. 1)
      • C. Wang , M. Lin , C. Teng . On the nature of the Boxer-Thaler and Madwedintegrators and their applications in digitising a continuous-time system. IEEE Trans. Autom. Control , 10 , 1163 - 1167
    2. 2)
      • T. Chen , B. Francis . (1995) Optimal sampled-data control systems.
    3. 3)
      • K. Astrom , B. Wittenmark . (1997) Computer-controlled systems.
    4. 4)
      • G.F. Franklin , J.D. Powell , M. Workman . (1997) Digital control of dynamic systems.
    5. 5)
      • Kennedy, R., Evans, R.: `Digital redesign of a continuous controller based onclosed loop performance', Proceedings of the 29th IEEE conference on Decisionand control, 1990, Honolulu, p. 1898–1901.
    6. 6)
      • K. Premaratne , E.I. Jury . Application of polynomial array method to discrete-timesystem stability. IEE Proc. D , 3 , 198 - 204
    7. 7)
      • Madwed, A.: `Number-series method of solving linear and nonlinear differential equations', 6645-T-26, 1950.
    8. 8)
      • Z. Kowalczuk . Discrete approximation of continuous-time systems: a survey. IEE Proc. G , 4 , 264 - 278
    9. 9)
      • J. Keller , B. Anderson . A new approach to the discretization of continuous-time controllers. IEEE Trans. Autom. Control , 2 , 214 - 223
    10. 10)
      • G.C. Goodwin , R.H. Middleton . (1990) Digital control and estimation-a unified approach.
    11. 11)
      • C. Hsu , K. Tse , C. Wang . Digital redesign of continuous systems with improvedsuitability using genetic algorithms. Electron. Lett. , 15 , 1345 - 1347
    12. 12)
      • K. Aström . (1970) Introduction to stochastic control theory.
    13. 13)
      • J.G. Proakis , D.G. Manolakis . (1996) Digital signal processing.
    14. 14)
      • K.J. Åstrom , E.I. Jury , R. Agniel . A numerical method for the evaluation ofcomplex integrals. IEEE Trans. Autom. Control , 468 - 471
    15. 15)
      • C.T. Chen . (1993) Analog & digital control system design.
    16. 16)
      • R. Boxer , S. Thaler . A simplified method of solving linear and nonlinear systems. Proc. IRE , 89 - 101
    17. 17)
      • M. Hutton , B. Friedland . Routh approximations for reducing order of linear,time-invariant systems. IEEE Trans. Autom. Control , 1329 - 1337
    18. 18)
      • A. Heck . (1993) Introduction to Maple.
    19. 19)
      • D. Williamson . (1991) Digital control and implementation - finite wordlength considerations.
    20. 20)
      • T. Chen , B. Francis . H2-optimal sampled-data control. IEEE Trans. Autom. Control , 4 , 387 - 397
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