Discretization of a non-linear, exponentially stabilizing control law using an Lp-gain approach

G Herrmann, SK Spurgeon, CE Edwards

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

4 Citations (Scopus)

Abstract

Considers the input-output stability of exponentially stable, non-linear systems with sampled-data output. Results for linear systems are generalized showing that the Lp-gain with respect to the sampled-data output exists and converges to the Lp-gain associated with the continuous-time output when the sampling period approaches +0. The results are applied to a non-linear control configuration and compared to a Lyapunov function analysis based approach previously developed for a non-linear sliding-mode like control. In contrast to the Lyapunov function technique, the sampling-time constraint vanishes for a stable plant if no control is used.
Translated title of the contributionDiscretization of a non-linear, exponentially stabilizing control law using an Lp-gain approach
Original languageEnglish
Title of host publication39th IEEE Conference on Decision and Control, Sydney, Australia
Pages3398 - 3403
Volume4
Publication statusPublished - 2000

Bibliographical note

Conference Organiser: IEEE
Other identifier: 10.1109/CDC.2000.912228

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