{"title":"Mixed H2/H∞ control problem in a behavioral framework","authors":"T. Doi, O. Kaneko, T. Fujii","doi":"10.1109/.2001.980505","DOIUrl":"https://doi.org/10.1109/.2001.980505","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129754081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On closed-loop identification: error distributions in the ν-gap metric","authors":"G. Vinnicombe","doi":"10.1109/.2001.980292","DOIUrl":"https://doi.org/10.1109/.2001.980292","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130576241","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper deals with an H1 control attenuating initial-state uncertainties, and its application to a magnetic suspension system. An H1 control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the in(cid:12)nite-horizon case, is examined. The mixed attenuation supplies H1 controls with good transients or assures H1 controls of robustness against initial-state uncertainty. We apply this method to a magnetic suspension system, and evaluate attenuation property of the proposed disturbance and initial-state uncertainty via simulations and experiments.
{"title":"H∞ control system design attenuating initial state uncertainties: evaluation by a magnetic suspension system","authors":"T. Namerikawa, M. Fujita, Roy S. Smith","doi":"10.1109/.2001.980077","DOIUrl":"https://doi.org/10.1109/.2001.980077","url":null,"abstract":"This paper deals with an H1 control attenuating initial-state uncertainties, and its application to a magnetic suspension system. An H1 control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the in(cid:12)nite-horizon case, is examined. The mixed attenuation supplies H1 controls with good transients or assures H1 controls of robustness against initial-state uncertainty. We apply this method to a magnetic suspension system, and evaluate attenuation property of the proposed disturbance and initial-state uncertainty via simulations and experiments.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121438389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Iterative Approach to Eigenvalue Assignment for Nonlinear Systems","authors":"M. Tomas-Rodriguez, S. Banks","doi":"10.1109/cdc.2006.376758","DOIUrl":"https://doi.org/10.1109/cdc.2006.376758","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133438487","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Robust smoother dynamics for Poisson processes driven by an Ito?diffusion","authors":"R. Elliott, W. P. Malcolm","doi":"10.1109/.2001.980129","DOIUrl":"https://doi.org/10.1109/.2001.980129","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133606375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1109/CDC.2004.1430368
P. Müllhaupt
An algorithm is proposed for testing controllability and computing the Brunovsky output of a single input system. Rather than computing explicitly the controllability matrix, it operates by building successive images of the input matrix in specific quotient subspaces. The algorithm can be used to test controllability to a higher degree of numerical accuracy than standard controllability tests.
{"title":"A quotient subspace algorithm for testing controllability and computing Brunovsky's outputs","authors":"P. Müllhaupt","doi":"10.1109/CDC.2004.1430368","DOIUrl":"https://doi.org/10.1109/CDC.2004.1430368","url":null,"abstract":"An algorithm is proposed for testing controllability and computing the Brunovsky output of a single input system. Rather than computing explicitly the controllability matrix, it operates by building successive images of the input matrix in specific quotient subspaces. The algorithm can be used to test controllability to a higher degree of numerical accuracy than standard controllability tests.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"408 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122732857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1109/CDC.2003.1272872
Riccardo Muradore, G. Picci
A stochastic H/sub /spl infin// and a mixed stochastic H/sub 2//H/sub /spl infin//control problem for discrete-time systems are considered and solved. Conditions for existence of a solution are derived, based on the solvability of an equivalent minimax problem. In this framework, it is possible to consider at the same time both stochastic and deterministic disturbances highlighting their mutual effects. The controller can be designed by solving a system of three coupled Riccati equations. Such equations display how the H/sub 2/-type minimization problem and the H/sub /spl infin//- type constraint influence each other.
{"title":"Mixed H2/H∞ control: the discrete-time case","authors":"Riccardo Muradore, G. Picci","doi":"10.1109/CDC.2003.1272872","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272872","url":null,"abstract":"A stochastic H/sub /spl infin// and a mixed stochastic H/sub 2//H/sub /spl infin//control problem for discrete-time systems are considered and solved. Conditions for existence of a solution are derived, based on the solvability of an equivalent minimax problem. In this framework, it is possible to consider at the same time both stochastic and deterministic disturbances highlighting their mutual effects. The controller can be designed by solving a system of three coupled Riccati equations. Such equations display how the H/sub 2/-type minimization problem and the H/sub /spl infin//- type constraint influence each other.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125126000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Output regulation of singular nonlinear systems by output feedback","authors":"Jiandong Zhu, Z. Cheng","doi":"10.1109/.2001.980072","DOIUrl":"https://doi.org/10.1109/.2001.980072","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130453907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An interpolation method for the control of ε-varying singularly perturbed systems","authors":"A. Fayaz","doi":"10.1109/.2001.980325","DOIUrl":"https://doi.org/10.1109/.2001.980325","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116546025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1109/CDC.2015.7402992
M. Müller, L. Grüne
In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating regime is not steady-state operation, but periodic behavior. We first show by means of two counterexamples, that a classical receding horizon control scheme does not necessarily result in an optimal closed-loop performance. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we derive checkable dissipativity-like conditions in order to obtain closed-loop performance guarantees.
{"title":"Economic model predictive control without terminal constraints: Optimal periodic operation","authors":"M. Müller, L. Grüne","doi":"10.1109/CDC.2015.7402992","DOIUrl":"https://doi.org/10.1109/CDC.2015.7402992","url":null,"abstract":"In this paper, we analyze economic model predictive control schemes without terminal constraints, where the optimal operating regime is not steady-state operation, but periodic behavior. We first show by means of two counterexamples, that a classical receding horizon control scheme does not necessarily result in an optimal closed-loop performance. Instead, a multi-step MPC scheme may be needed in order to establish near optimal performance of the closed-loop system. This behavior is analyzed in detail, and we derive checkable dissipativity-like conditions in order to obtain closed-loop performance guarantees.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122537447","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}