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...
主要な著者: | , , |
---|---|
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 |