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Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics

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  • M. de la Sen

Abstract

This paper deals with the problem of synthesizing a robust adaptive controller for a specific class of single-input single-output (SISO) time-invariant hybrid controlled object (plant) which can operate under bounded disturbances and/or unmodeled dynamics. The hybrid plant dealt with is composed of two coupled subsystems, one of them being of continuous-time type while the other is digital. As a result there are also mixed continuous-time and discrete signals present in the system associated either with the solutions of differential equations which depend at the same time on both discrete-time and continuous-time forcing terms and on generalized difference equations associated with discretized and digital signals. The estimation algorithm is of a continuous-time nature since the plant parameter estimates are updated for all time. It also incorporates a relative adaptation dead-zone as a robust stabilization mechanism which prevents against instability in the presence of a common class of unmodeled dynamics and bounded noise.

Suggested Citation

  • M. de la Sen, 2005. "Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics," Discrete Dynamics in Nature and Society, Hindawi, vol. 2005, pages 1-31, January.
  • Handle: RePEc:hin:jnddns:698479
    DOI: 10.1155/DDNS.2005.299
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    Cited by:

    1. Manuel De la Sen, 2022. "On the Stabilization through Linear Output Feedback of a Class of Linear Hybrid Time-Varying Systems with Coupled Continuous/Discrete and Delayed Dynamics with Eventually Unbounded Delay," Mathematics, MDPI, vol. 10(9), pages 1-23, April.
    2. Manuel De la Sen, 2022. "On the Stabilization of a Network of a Class of SISO Coupled Hybrid Linear Subsystems via Static Linear Output Feedback," Mathematics, MDPI, vol. 10(7), pages 1-29, March.

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