Kharitonov's theorem and the edge theorem are obtained for a special class of distributed parameter systems. Kharitonov's theorem is first extended to a certain class of distributed parameter systems, and then a further extension is made for the case when the perturbations in the coefficients of the characteristic polynomial of the same class of distributed parameter system are linearly dependent.<>
{"title":"Robust stability of a certain class of distributed parameter systems","authors":"N. Ozturk","doi":"10.1109/CDC.1991.261112","DOIUrl":"https://doi.org/10.1109/CDC.1991.261112","url":null,"abstract":"Kharitonov's theorem and the edge theorem are obtained for a special class of distributed parameter systems. Kharitonov's theorem is first extended to a certain class of distributed parameter systems, and then a further extension is made for the case when the perturbations in the coefficients of the characteristic polynomial of the same class of distributed parameter system are linearly dependent.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"133 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116184754","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}
The multistep multivariable adaptive regulator, which is a direct predictive adaptive controller, is considered. Specifically, the replacement of recursive least squares (RLS) identifiers with stochastic gradient (SG) identifiers in that controller is considered. By an ordinary differential equation analysis, local convergence properties of the algorithm are investigated. The conclusions, supported by various simulation results, are that, in contrast to the case of the one-step-ahead self-tuning regulator, replacement of RLS with SG deteriorates the convergence properties of the resulting adaptive controller.<>
{"title":"Direct predictive adaptive control with stochastic gradient identifiers","authors":"L. Giarré, E. Mosca","doi":"10.1109/CDC.1991.261714","DOIUrl":"https://doi.org/10.1109/CDC.1991.261714","url":null,"abstract":"The multistep multivariable adaptive regulator, which is a direct predictive adaptive controller, is considered. Specifically, the replacement of recursive least squares (RLS) identifiers with stochastic gradient (SG) identifiers in that controller is considered. By an ordinary differential equation analysis, local convergence properties of the algorithm are investigated. The conclusions, supported by various simulation results, are that, in contrast to the case of the one-step-ahead self-tuning regulator, replacement of RLS with SG deteriorates the convergence properties of the resulting adaptive controller.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"469 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116187516","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}
A method of online adaptation and learning is proposed which makes use of a probing signal whose frequency content is concentrated at the bandwidth of the current controller. As the plant is learned the procedure naturally increases the learning bandwidth.<>
{"title":"Adaptive robust control: online learning","authors":"B. Anderson, R. Kosut","doi":"10.1109/CDC.1991.261309","DOIUrl":"https://doi.org/10.1109/CDC.1991.261309","url":null,"abstract":"A method of online adaptation and learning is proposed which makes use of a probing signal whose frequency content is concentrated at the bandwidth of the current controller. As the plant is learned the procedure naturally increases the learning bandwidth.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116246933","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}
The authors first discuss the fundamental problem of data reconciliation. They then prove the equivalence of some tests commonly used for gross error detection: parity vector, normalized corrective terms, the generalized likelihood ratio test, and variation of the residual criterion after measurement deletion.<>
{"title":"Comparison of gross errors detection methods in process data","authors":"D. Maquin, J. Ragot","doi":"10.1109/CDC.1991.261549","DOIUrl":"https://doi.org/10.1109/CDC.1991.261549","url":null,"abstract":"The authors first discuss the fundamental problem of data reconciliation. They then prove the equivalence of some tests commonly used for gross error detection: parity vector, normalized corrective terms, the generalized likelihood ratio test, and variation of the residual criterion after measurement deletion.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"263 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123415198","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}
The point control problem in a wave equation with the damping involving only the coupling of the displacement and the velocity at the boundary is considered. An adequate extension of the state space is defined. A characterization of the physically intrinsic spaces in the extended state space is given.<>
{"title":"Formulation of the point control problems in wave equation with boundary damping","authors":"C. Wang","doi":"10.1109/CDC.1991.261842","DOIUrl":"https://doi.org/10.1109/CDC.1991.261842","url":null,"abstract":"The point control problem in a wave equation with the damping involving only the coupling of the displacement and the velocity at the boundary is considered. An adequate extension of the state space is defined. A characterization of the physically intrinsic spaces in the extended state space is given.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"97 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123513406","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}
Necessary and sufficient conditions for the existence of stabilizing static output feedback gains are presented. The requirement of output feedback introduces a structural constraint between the states and the controls. It is shown that such a structural constraint is satisfied if and only if the weighting matrix associated to the cross term of the quadratic loss function satisfies some conditions. The authors demonstrate that any stabilizing static output feedback is the solution of a linear quadratic control problem where the cost function has a suitable cross term.<>
{"title":"Stabilization via static output feedback","authors":"A. T. Neto, V. Kučera","doi":"10.1109/CDC.1991.261451","DOIUrl":"https://doi.org/10.1109/CDC.1991.261451","url":null,"abstract":"Necessary and sufficient conditions for the existence of stabilizing static output feedback gains are presented. The requirement of output feedback introduces a structural constraint between the states and the controls. It is shown that such a structural constraint is satisfied if and only if the weighting matrix associated to the cross term of the quadratic loss function satisfies some conditions. The authors demonstrate that any stabilizing static output feedback is the solution of a linear quadratic control problem where the cost function has a suitable cross term.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123669228","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}
Long-term resource allocation problems may be regarded as multiperiod processes where the future decision environment is generally uncertain. The authors first propose a mathematically tractable measure of flexibility which is based on the size of the uncertain parameter space. Next, a two objective-maximization of the expected value of the system's performance and maximization of the flexibility level-optimization problem is solved to find a flexible initial decision. Finally, a production planning problem is discussed as an illustrative example.<>
{"title":"On flexible dynamic strategies for long-term resource allocation problems in an uncertain environment","authors":"C. Dong, M. Installe","doi":"10.1109/CDC.1991.261729","DOIUrl":"https://doi.org/10.1109/CDC.1991.261729","url":null,"abstract":"Long-term resource allocation problems may be regarded as multiperiod processes where the future decision environment is generally uncertain. The authors first propose a mathematically tractable measure of flexibility which is based on the size of the uncertain parameter space. Next, a two objective-maximization of the expected value of the system's performance and maximization of the flexibility level-optimization problem is solved to find a flexible initial decision. Finally, a production planning problem is discussed as an illustrative example.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121912732","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}
The authors analyze a system consisting of multiple identical deterministic servers. Customers arrive in several streams; each customer has to decide which server to join by looking only at previous decisions of customers of the same stream. For three variations of this problem, it is proved that round robin is the policy minimizing the total expected delay over all customers of an individual stream. The problem of optimizing the total expected delay over all streams is considered. The performance of the round robin policy is investigated and the conclusion is that it is not optimal for this problem. Most of the results also apply under more general service time distributions.<>
{"title":"Optimal distributed policies for choosing among multiple servers","authors":"G. Stamoulis, J. Tsitsiklis","doi":"10.1109/CDC.1991.261428","DOIUrl":"https://doi.org/10.1109/CDC.1991.261428","url":null,"abstract":"The authors analyze a system consisting of multiple identical deterministic servers. Customers arrive in several streams; each customer has to decide which server to join by looking only at previous decisions of customers of the same stream. For three variations of this problem, it is proved that round robin is the policy minimizing the total expected delay over all customers of an individual stream. The problem of optimizing the total expected delay over all streams is considered. The performance of the round robin policy is investigated and the conclusion is that it is not optimal for this problem. Most of the results also apply under more general service time distributions.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"522 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121974453","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}
The zeros of linear systems that ensure H/sub 2/-optimal transmission characteristics from inputs to outputs are analyzed. Qualitative features of the resulting behavior are investigated, including controllability properties, optimal transmission properties, and nonminimum phase properties.<>
{"title":"H/sub 2/-optimal zeros","authors":"P. Kabamba, S. Meerkov, E. Poh","doi":"10.1109/CDC.1991.261563","DOIUrl":"https://doi.org/10.1109/CDC.1991.261563","url":null,"abstract":"The zeros of linear systems that ensure H/sub 2/-optimal transmission characteristics from inputs to outputs are analyzed. Qualitative features of the resulting behavior are investigated, including controllability properties, optimal transmission properties, and nonminimum phase properties.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"200 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121992840","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}
The authors study the structured singular value for a class of robustness analysis problems in which the uncertainty is allowed to be non-diagonally structured, and the norm of each block is individually considered. The results extend previous work conducted for problems where each uncertainty block is assumed to be a scalar. Computations of this generalization notion via both the similarity and nonsimilarity scaling methods are investigated. It is shown in particular that under certain circumstances the structured singular value defined here coincides with a vector-induced norm.<>
{"title":"On robustness analysis with non-diagonally structured uncertainty","authors":"J. Chen, M. Fan, C. Nett","doi":"10.1109/CDC.1991.261244","DOIUrl":"https://doi.org/10.1109/CDC.1991.261244","url":null,"abstract":"The authors study the structured singular value for a class of robustness analysis problems in which the uncertainty is allowed to be non-diagonally structured, and the norm of each block is individually considered. The results extend previous work conducted for problems where each uncertainty block is assumed to be a scalar. Computations of this generalization notion via both the similarity and nonsimilarity scaling methods are investigated. It is shown in particular that under certain circumstances the structured singular value defined here coincides with a vector-induced norm.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116817711","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}
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