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Predictive and adaptive extremal control

The time-optimal predictive control strategy for second order relay or bang-bang control systems is investigated along with modifications of this strategy for third order systems. One basis of this strategy is the utilization of a model, a replica of the plant, run in a fast-time mode so as to obtai...

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Main Author: Kimmel, Ivriani
Other Authors: McLaren, S G
Format: Thesis
Language:English
Published: Department of Electrical Engineering 2015
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access_status_str Open Access
author Kimmel, Ivriani
author2 McLaren, S G
author_browse Kimmel, Ivriani
McLaren, S G
author_facet McLaren, S G
Kimmel, Ivriani
author_sort Kimmel, Ivriani
collection Thesis
description The time-optimal predictive control strategy for second order relay or bang-bang control systems is investigated along with modifications of this strategy for third order systems. One basis of this strategy is the utilization of a model, a replica of the plant, run in a fast-time mode so as to obtain the future output of the plant under the present input. Based upon these measurements, corrections to the plant may be implemented to achieve the desired response. The concept of the fast model is a useful one in that it falls into the synthesis of the more general time-optimal trajectory and switching functions for various second, third and higher order plants. However the difficulties in providing the exact time-optimal control for these plants result in the generation of acceptable sub-optimal and near time-optimal strategies. The nature of plant sensitivity, parameter variation and identification are investigated as well as a novel self-adoptive controller which dispenses with the identification phase but identifies a certain surface in the state space and establishes a stable sub-optimal control strategy. These control techniques are applied to a small DC motor with responses close to time-optimal.
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institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:32:51.499Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2015
publishDateRange 2015
publishDateSort 2015
publisher Department of Electrical Engineering
publisherStr Department of Electrical Engineering
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source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/12293 Predictive and adaptive extremal control Kimmel, Ivriani McLaren, S G Electrical Engineering The time-optimal predictive control strategy for second order relay or bang-bang control systems is investigated along with modifications of this strategy for third order systems. One basis of this strategy is the utilization of a model, a replica of the plant, run in a fast-time mode so as to obtain the future output of the plant under the present input. Based upon these measurements, corrections to the plant may be implemented to achieve the desired response. The concept of the fast model is a useful one in that it falls into the synthesis of the more general time-optimal trajectory and switching functions for various second, third and higher order plants. However the difficulties in providing the exact time-optimal control for these plants result in the generation of acceptable sub-optimal and near time-optimal strategies. The nature of plant sensitivity, parameter variation and identification are investigated as well as a novel self-adoptive controller which dispenses with the identification phase but identifies a certain surface in the state space and establishes a stable sub-optimal control strategy. These control techniques are applied to a small DC motor with responses close to time-optimal. 2015-01-27T08:51:18Z 2015-01-27T08:51:18Z 1976 Master Thesis Masters MSc http://hdl.handle.net/11427/12293 eng application/pdf Department of Electrical Engineering Faculty of Engineering and the Built Environment University of Cape Town
spellingShingle Electrical Engineering
Kimmel, Ivriani
Predictive and adaptive extremal control
thesis_degree_str Master's
title Predictive and adaptive extremal control
title_full Predictive and adaptive extremal control
title_fullStr Predictive and adaptive extremal control
title_full_unstemmed Predictive and adaptive extremal control
title_short Predictive and adaptive extremal control
title_sort predictive and adaptive extremal control
topic Electrical Engineering
url http://hdl.handle.net/11427/12293
work_keys_str_mv AT kimmelivriani predictiveandadaptiveextremalcontrol