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Time-Varying and Adaptive Discrete-Time Low-Gain Control of Infinite-Dimensional Linear Systems with Input Nonlinearities

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Abstract.

Discrete-time low-gain control strategies are presented for tracking constant reference signals for infinite-dimensional, discrete-time, power-stable, linear systems subject to input nonlinearities. Both non-adaptive (but time-varying) and adaptive controls are considered. The discrete-time results are applied in the development of sampled-data integral control for infinite-dimensional, continuous-time, exponentially stable, regular, linear systems with input nonlinearities.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, England. {hl,epr}@maths.bath.ac.uk., , , , , , GB

    H. Logemann & E. P. Ryan

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  1. H. Logemann
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  2. E. P. Ryan
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Date received: October 1, 1998. Date revised: September 24, 1999.

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Logemann, H., Ryan, E. Time-Varying and Adaptive Discrete-Time Low-Gain Control of Infinite-Dimensional Linear Systems with Input Nonlinearities. Math. Control Signals Systems 13, 293–317 (2000). https://doi.org/10.1007/PL00009871

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  • DOI: https://doi.org/10.1007/PL00009871

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