Pub Date : 1900-01-01DOI: 10.1109/CDC.2002.1184785
Jun-e Feng, Shuqian Zhu, Z. Cheng
The guaranteed cost control problem via memoryless state feedback is studied in this paper for a class of linear singular time-delay systems with norm-bounded time-varying parametric uncertainty and a given quadratic cost function. First, one sufficient condition for the stability of singular time-delay system is got. Then the sufficient conditions for the existence of guaranteed cost controller are given in terms of linear matrix inequalities (LMIs). Furthermore, one simple example is shown to illustrate the application of the proposed method.
{"title":"Guaranteed cost control of linear uncertain singular time-delay systems","authors":"Jun-e Feng, Shuqian Zhu, Z. Cheng","doi":"10.1109/CDC.2002.1184785","DOIUrl":"https://doi.org/10.1109/CDC.2002.1184785","url":null,"abstract":"The guaranteed cost control problem via memoryless state feedback is studied in this paper for a class of linear singular time-delay systems with norm-bounded time-varying parametric uncertainty and a given quadratic cost function. First, one sufficient condition for the stability of singular time-delay system is got. Then the sufficient conditions for the existence of guaranteed cost controller are given in terms of linear matrix inequalities (LMIs). Furthermore, one simple example is shown to illustrate the application of the proposed method.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"339 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":"123059550","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}
In this paper Banach space duality theory and operator theory are combined to show that the op- timal performance index in the multiobjective H2/Hm is equal to the operator induced norm of a particu- lar operator. This operator is shown to act on special Banach spaces, and is a projection of a multiplication operator. Finally, under a certain continuity assump- tion, it is shown that there exist maximal vectors, which leads to an exact solution to the multiobjective H2/Hm problem.
{"title":"Multiobjective H2/H∞ by Banach space operator theory","authors":"S. Djouadi, C. Charalambous, D. Repperger","doi":"10.1109/.2001.980511","DOIUrl":"https://doi.org/10.1109/.2001.980511","url":null,"abstract":"In this paper Banach space duality theory and operator theory are combined to show that the op- timal performance index in the multiobjective H2/Hm is equal to the operator induced norm of a particu- lar operator. This operator is shown to act on special Banach spaces, and is a projection of a multiplication operator. Finally, under a certain continuity assump- tion, it is shown that there exist maximal vectors, which leads to an exact solution to the multiobjective H2/Hm problem.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"18 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":"115369905","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.2004.1429306
J. Choi, S. Reveliotis
The problem addressed in this work is that of determining how to allocate the workstation processing and buffering capacity in a capacitated re-entrant line to the job instances competing for it, in order to maximize its longrun/steady-state throughput, while maintaining the logical correctness of the underlying material flow, i.e., deadlock-free operations. An approximation scheme for the optimal policy that is based on neuro-dynamic programming theory is proposed, and its performance is assessed through a numerical experiment. The derived results indicate that the proposed method holds considerable promise for providing a viable, computationally efficient approach to the problem, and highlight directions for further investigation.
{"title":"Relative value function approximation for the capacitated re-entrant line scheduling problem: an experimental investigation","authors":"J. Choi, S. Reveliotis","doi":"10.1109/CDC.2004.1429306","DOIUrl":"https://doi.org/10.1109/CDC.2004.1429306","url":null,"abstract":"The problem addressed in this work is that of determining how to allocate the workstation processing and buffering capacity in a capacitated re-entrant line to the job instances competing for it, in order to maximize its longrun/steady-state throughput, while maintaining the logical correctness of the underlying material flow, i.e., deadlock-free operations. An approximation scheme for the optimal policy that is based on neuro-dynamic programming theory is proposed, and its performance is assessed through a numerical experiment. The derived results indicate that the proposed method holds considerable promise for providing a viable, computationally efficient approach to the problem, and highlight directions for further investigation.","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":"115776177","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.2010.5717033
Hakan Köroglu
Attenuation of sinusoidal disturbances with uncertain and arbitrarily time-varying frequencies is considered for a plant that depends on online measurable parameters. The disturbances are modeled as the outputs of a neutrally stable exogenous system that depends on measurable as well as unmeasurable parameters. Solvability conditions are then derived in the form of parameter-dependent matrix inequalities, based on which a linear parameter-varying controller synthesis procedure is outlined. Alternative conditions are provided for the synthesis of a controller that has no dependence on the derivatives of the parameters. It is also clarified how the transient behavior of the controller can be improved.
{"title":"Robust generalized asymptotic regulation via an LPV controller without parameter derivative dependence","authors":"Hakan Köroglu","doi":"10.1109/CDC.2010.5717033","DOIUrl":"https://doi.org/10.1109/CDC.2010.5717033","url":null,"abstract":"Attenuation of sinusoidal disturbances with uncertain and arbitrarily time-varying frequencies is considered for a plant that depends on online measurable parameters. The disturbances are modeled as the outputs of a neutrally stable exogenous system that depends on measurable as well as unmeasurable parameters. Solvability conditions are then derived in the form of parameter-dependent matrix inequalities, based on which a linear parameter-varying controller synthesis procedure is outlined. Alternative conditions are provided for the synthesis of a controller that has no dependence on the derivatives of the parameters. It is also clarified how the transient behavior of the controller can be improved.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"47 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114097650","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/CDC51059.2022.9993105
M. A. Al-Radhawi
—We study robust stability of Biological Interaction Networks (BINs) by constructing stability certificates in the form of Robust Lyapunov Functions (RLFs) using graphical methods. Previous works have mainly constructed RLFs by utilizing linear programs or iterative algorithms. Such algo- rithms become tedious or computationally infeasible for large networks. In addition, they do not identify motifs or graph modifications that maintain stability. In this work, we provide several graphical criteria for constructing stability certificates. We characterize a set of stability-preserving graph modifications which include, in particular, the enzymatic catalysis motif. Hence, stability of a class of arbitrarily large networks can be examined by simple visual inspection. We present applications of this technique to Post-Translational Modification (PTM) cycles, Ribosome Flow Model (RFM), and T -cell kinetic proofreading. Index Terms —Nonlinear Systems, Systems Biology, Petri-nets, Lyapunov Functions, Robust Stability, Reaction Networks.
{"title":"Graphical Construction of Stability Certificates for Biomolecular Interaction Networks","authors":"M. A. Al-Radhawi","doi":"10.1109/CDC51059.2022.9993105","DOIUrl":"https://doi.org/10.1109/CDC51059.2022.9993105","url":null,"abstract":"—We study robust stability of Biological Interaction Networks (BINs) by constructing stability certificates in the form of Robust Lyapunov Functions (RLFs) using graphical methods. Previous works have mainly constructed RLFs by utilizing linear programs or iterative algorithms. Such algo- rithms become tedious or computationally infeasible for large networks. In addition, they do not identify motifs or graph modifications that maintain stability. In this work, we provide several graphical criteria for constructing stability certificates. We characterize a set of stability-preserving graph modifications which include, in particular, the enzymatic catalysis motif. Hence, stability of a class of arbitrarily large networks can be examined by simple visual inspection. We present applications of this technique to Post-Translational Modification (PTM) cycles, Ribosome Flow Model (RFM), and T -cell kinetic proofreading. Index Terms —Nonlinear Systems, Systems Biology, Petri-nets, Lyapunov Functions, Robust Stability, Reaction Networks.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"31 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":"122145908","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":"Fast algorithms for solving H∞-norm minimization problems","authors":"A. Varga, P. Parrilo","doi":"10.1109/.2001.980109","DOIUrl":"https://doi.org/10.1109/.2001.980109","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":"126466066","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 presents a control scheme which learns the inverse mapping of a dynamic system by an orthonormal wavelet network. To compensate the modeling error caused by the model parameterization, feedback is added. The inverse mapping of dynamic system proposed here is defined as a mapping between the output trajectory and input trajectory. Training samples are chosen such that they can cover input trajectory space uniformly both in the amplitude domain and frequency domain. Here the amplitude domain depends on the actuator while the frequency domain depends on sampling period of the control system. For trajectory training, there are a lot of sample data (not sample trajectory) which enhance the complexity of the modeling problem. Hence data compression is used by wavelet threshold which is a method frequently used in signal processing. The performance of the proposed algorithm is illustrated by a computational simulation experiment.
{"title":"Global inverse modeling for nonlinear non-affine system control by wavelet network","authors":"Ying Tan, Jian-xin Xu","doi":"10.1109/CDC.2000.912878","DOIUrl":"https://doi.org/10.1109/CDC.2000.912878","url":null,"abstract":"This paper presents a control scheme which learns the inverse mapping of a dynamic system by an orthonormal wavelet network. To compensate the modeling error caused by the model parameterization, feedback is added. The inverse mapping of dynamic system proposed here is defined as a mapping between the output trajectory and input trajectory. Training samples are chosen such that they can cover input trajectory space uniformly both in the amplitude domain and frequency domain. Here the amplitude domain depends on the actuator while the frequency domain depends on sampling period of the control system. For trajectory training, there are a lot of sample data (not sample trajectory) which enhance the complexity of the modeling problem. Hence data compression is used by wavelet threshold which is a method frequently used in signal processing. The performance of the proposed algorithm is illustrated by a computational simulation experiment.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"73 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":"125519475","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":"Gain scheduling via affine linear parameter-varying systems and H∞ synthesis","authors":"F. Bruzelius, C. Breitholtz","doi":"10.1109/.2001.980619","DOIUrl":"https://doi.org/10.1109/.2001.980619","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"113 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":"133664519","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.2002.1184850
Yiaodong Liu, Qingling Zhang
In this paper, the problems of relaxed quadratic stability conditions and H/sub /spl infin// output feedback control designs for T-S fuzzy systems have been studied. First new quadratic stability conditions are obtained by relaxing the stability conditions derived in previous papers. Secondly it presents H/sub /spl infin// output feedback control designs of complex nonlinear systems which can be represented by T-S fuzzy dynamic systems. Based on a common Lyapunov function, new output feedback H/sub /spl infin// fuzzy control design methods are developed. New method considers the interactions among all fuzzy subsystems. The output feedback H/sub /spl infin// controllers can be obtained by solving a set of suitable linear matrix inequalities.
{"title":"H∞ output feedback control designs for T-S fuzzy dynamic systems via LMI","authors":"Yiaodong Liu, Qingling Zhang","doi":"10.1109/CDC.2002.1184850","DOIUrl":"https://doi.org/10.1109/CDC.2002.1184850","url":null,"abstract":"In this paper, the problems of relaxed quadratic stability conditions and H/sub /spl infin// output feedback control designs for T-S fuzzy systems have been studied. First new quadratic stability conditions are obtained by relaxing the stability conditions derived in previous papers. Secondly it presents H/sub /spl infin// output feedback control designs of complex nonlinear systems which can be represented by T-S fuzzy dynamic systems. Based on a common Lyapunov function, new output feedback H/sub /spl infin// fuzzy control design methods are developed. New method considers the interactions among all fuzzy subsystems. The output feedback H/sub /spl infin// controllers can be obtained by solving a set of suitable linear matrix inequalities.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"45 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":"116061250","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}
In this paper, it is shown how immersion can yield an appropriate structure for observer design for a large class of nonlinear systems. The appropriate structure is that of state affine system, up to triangular nonlinearity, which is shown to allow sonic exponential observer design under appropriate excitation on the one hand. On the other hand the observability rank condition is shown to be a sufficient condition for possible immersion into such a form, and a constructive procedure is provided. The whole methodology is illustrated by a couple of examples
{"title":"Immersion-based observer design for nonlinear systems","authors":"G. Besançon, A. Ticlea","doi":"10.1109/CDC.2006.377185","DOIUrl":"https://doi.org/10.1109/CDC.2006.377185","url":null,"abstract":"In this paper, it is shown how immersion can yield an appropriate structure for observer design for a large class of nonlinear systems. The appropriate structure is that of state affine system, up to triangular nonlinearity, which is shown to allow sonic exponential observer design under appropriate excitation on the one hand. On the other hand the observability rank condition is shown to be a sufficient condition for possible immersion into such a form, and a constructive procedure is provided. The whole methodology is illustrated by a couple of examples","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"36 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":"123430647","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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