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Design of repetitive control system for an uncertain plant

Design of repetitive control system for an uncertain plant

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The authors consider the robust stability of a repetitive control system using robust strictly positive real (SPR) condition and propose a systematic design method for the parametrically uncertain system.

Inspec keywords: control system synthesis; robust control; uncertain systems

Other keywords: repetitive control system; uncertain plant; parametrically uncertain system; robust strictly positive real condition; design method; robust stability

Subjects: Stability in control theory; Control system analysis and synthesis methods

References

    1. 1)
      • K. Srinivasan , F.-R. Shaw . Analysis and design of repetitive control systems using the regenerationspectrum. ASME J. Dyn. Syst. Meas. Control , 216 - 222
    2. 2)
      • B.R. Barmish . (1994) New tools for robustness of linear systems.
    3. 3)
      • S. Hara , Y. Yamamoto , T. Omata , M. Nakano . Repetitive control system: A new type servo system for periodic exogenoussignals. IEEE Trans. Autom. Control , 7 , 659 - 668
    4. 4)
      • Roh, C.L., Chung, M.J.: `Frequency domain analysis and design of an iterative learning controllerunder modeling uncertainties', Proc. American Control Conf., 1995, p. 452–453.
    5. 5)
      • M. Dahleh , A. Tesi , A. Vicino . On the robust Popov criterion for interval Lur'e system. IEEE Trans. Autom. Control , 9 , 1400 - 1405
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