Cautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustness

End-point constraints guarantee the stability of predicted trajectories and form the basis of stable predictive control algorithms. However, the use of end-point constraints that define sufficient but not necessary conditions for the stability of predicted trajectories can lead to highly tuned contr...

詳細記述

書誌詳細
主要な著者: Gossner, JR, Kouvaritakis, B, Rossiter, J
フォーマット: Journal article
出版事項: 1997
_version_ 1826272217407684608
author Gossner, JR
Kouvaritakis, B
Rossiter, J
author_facet Gossner, JR
Kouvaritakis, B
Rossiter, J
author_sort Gossner, JR
collection OXFORD
description End-point constraints guarantee the stability of predicted trajectories and form the basis of stable predictive control algorithms. However, the use of end-point constraints that define sufficient but not necessary conditions for the stability of predicted trajectories can lead to highly tuned controllers. These often possess poor robustness properties and result in overactive input trajectories which, in the presence of input constraints, may lead to instability. Here we develop conditions that are both necessary and sufficient and deploy these to derive stable predictive control algorithms with reduced input activity and improved robustness properties. The efficacy of the new algorithms, in respect of their ability to cope with both input constraints and robustness, are illustrated by means of design studies.
first_indexed 2024-03-06T22:09:03Z
format Journal article
id oxford-uuid:5129dcaf-5d8b-4c0a-a454-e144c1e00b70
institution University of Oxford
last_indexed 2024-03-06T22:09:03Z
publishDate 1997
record_format dspace
spelling oxford-uuid:5129dcaf-5d8b-4c0a-a454-e144c1e00b702022-03-26T16:17:57ZCautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustnessJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5129dcaf-5d8b-4c0a-a454-e144c1e00b70Symplectic Elements at Oxford1997Gossner, JRKouvaritakis, BRossiter, JEnd-point constraints guarantee the stability of predicted trajectories and form the basis of stable predictive control algorithms. However, the use of end-point constraints that define sufficient but not necessary conditions for the stability of predicted trajectories can lead to highly tuned controllers. These often possess poor robustness properties and result in overactive input trajectories which, in the presence of input constraints, may lead to instability. Here we develop conditions that are both necessary and sufficient and deploy these to derive stable predictive control algorithms with reduced input activity and improved robustness properties. The efficacy of the new algorithms, in respect of their ability to cope with both input constraints and robustness, are illustrated by means of design studies.
spellingShingle Gossner, JR
Kouvaritakis, B
Rossiter, J
Cautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustness
title Cautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustness
title_full Cautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustness
title_fullStr Cautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustness
title_full_unstemmed Cautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustness
title_short Cautious stable predictive control: a guaranteed stable predictive control algorithm with low input activity and good robustness
title_sort cautious stable predictive control a guaranteed stable predictive control algorithm with low input activity and good robustness
work_keys_str_mv AT gossnerjr cautiousstablepredictivecontrolaguaranteedstablepredictivecontrolalgorithmwithlowinputactivityandgoodrobustness
AT kouvaritakisb cautiousstablepredictivecontrolaguaranteedstablepredictivecontrolalgorithmwithlowinputactivityandgoodrobustness
AT rossiterj cautiousstablepredictivecontrolaguaranteedstablepredictivecontrolalgorithmwithlowinputactivityandgoodrobustness