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Time-varying repetitive control for better transient response and stochastic behaviour

Time-varying repetitive control for better transient response and stochastic behaviour

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Published

A stability proof is given for a time-varying repetitive control strategy. It is illustrated by a simulation example that this time varying strategy can be used to improve the transient reponse and stochastic behaviour of the repetitive control system simultaneously.

Inspec keywords: transient response; control system synthesis; linear quadratic control; time-varying systems; stability criteria; stochastic systems

Other keywords: time-varying repetitive control; stability proof; transient response; simulation example; stochastic behaviour; LQ-optimal repetitive controller

Subjects: Optimal control; Control system analysis and synthesis methods; Time-varying control systems; Stability in control theory

References

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      • C.A. Desoer , M. Vidyasager . (1975) Feedback systems: input-output properties.
    2. 2)
      • Hillerström, G., Walgama, K.: `Repetitive control theory and applications – a survey', Proc. 13th IFAC Triennial World Congress, June/July 1996, D, San Francisco, CA, USA, p. 1–6.
    3. 3)
      • M. Tomizuka , T.C. Tsao , K.K. Chew . Analysis and synthesis of discrete-time repetitive controllers. ASME J. Dyn. Syst. Meas. Control , 3 , 253 - 258
    4. 4)
      • Köroğlu, H., Morgül, Ö.: `Discrete-time LQ optimal repetitive control', Proc. American Control Conf., June 1999, San Diego, CA, USA, p. 3287–3291.
    5. 5)
      • K.K. Chew , M. Tomizuka . Steady-state and stochastic performance of a modified prototype repetitivecontroller. ASME J. Dyn. Syst. Meas. Control , 1 , 35 - 41
    6. 6)
      • C.C.H. Ma . Stability robustness of repetitive control systems with zero phase compensation. ASME J. Dyn. Syst. Meas. Control , 3 , 320 - 324
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