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

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...

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Main Author: M. de la Sen
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS.2005.299
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author M. de la Sen
author_facet M. de la Sen
author_sort M. de la Sen
collection DOAJ
description 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.
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spelling doaj-art-3f7b0237073841fb9f8e6d35c3a11b8f2025-02-03T01:26:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2005-01-012005329932910.1155/DDNS.2005.299Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamicsM. de la Sen0Department of Electricity and Electronics, Faculty of Science and Technology, University of Basque Country, Leioa (Bizkaia), Aptdo, 644 de Bilbao, SpainThis 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.http://dx.doi.org/10.1155/DDNS.2005.299
spellingShingle M. de la Sen
Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
Discrete Dynamics in Nature and Society
title Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
title_full Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
title_fullStr Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
title_full_unstemmed Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
title_short Adaptive control of single-input single-output hybrid systems possessing interacting discrete- and continuous-time dynamics
title_sort adaptive control of single input single output hybrid systems possessing interacting discrete and continuous time dynamics
url http://dx.doi.org/10.1155/DDNS.2005.299
work_keys_str_mv AT mdelasen adaptivecontrolofsingleinputsingleoutputhybridsystemspossessinginteractingdiscreteandcontinuoustimedynamics