Pub Date : 1900-01-01DOI: 10.1109/CDC.2003.1272766
J. Yoneyama
This paper is concerned with quadratic stability and stability with disturbance attenuation of a class of uncertain sampled-data systems. The class of systems under consideration is sampled-data systems with norm-bounded parameter uncertainties in all matrices of the state and output equations. The parametric uncertainty is of a linear fractional form. A jump system approach is employed to analyze such sampled-data systems. Jump systems represent a wide class of systems, including not only continuous-time and discrete-time systems, but also sampled-data systems. Our main results are equivalences between quadratic stability and quadratic stabilization with disturbance attenuation, and a scaled H/sub /spl infin// control problem for jump systems as well as sampled-data systems. These imply that a quadratic stabilizing controller for uncertain sampled-data systems can be designed by solving a standard H/sub /spl infin// controller for sampled-data systems.
{"title":"Robust H∞ output feedback control for uncertain sampled-data systems via jump system approach","authors":"J. Yoneyama","doi":"10.1109/CDC.2003.1272766","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272766","url":null,"abstract":"This paper is concerned with quadratic stability and stability with disturbance attenuation of a class of uncertain sampled-data systems. The class of systems under consideration is sampled-data systems with norm-bounded parameter uncertainties in all matrices of the state and output equations. The parametric uncertainty is of a linear fractional form. A jump system approach is employed to analyze such sampled-data systems. Jump systems represent a wide class of systems, including not only continuous-time and discrete-time systems, but also sampled-data systems. Our main results are equivalences between quadratic stability and quadratic stabilization with disturbance attenuation, and a scaled H/sub /spl infin// control problem for jump systems as well as sampled-data systems. These imply that a quadratic stabilizing controller for uncertain sampled-data systems can be designed by solving a standard H/sub /spl infin// controller for sampled-data systems.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"95 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":"126196459","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.2003.1272936
M. S. Shaikh, P. Caines
In this paper we consider a single-product single-machine manufacturing system, with the machine characterized by multiple working modes. A cost is associated both with inventory surplus and demand backlog and the policy which minimizes the overall long-run expected cost, which based on previous work in literature is known to be a multiple hedging point policy, is analyzed. This paper derives a condition on system parameters for the optimality of just-in-time (JIT) policies and investigates the dependence of hedging points on the ratio among inventory surplus and backlog cost parameters. Some numerical examples are included to illustrate the effectiveness of the achieved results.
{"title":"Hedging point policies for multi state failure prone manufacturing systems","authors":"M. S. Shaikh, P. Caines","doi":"10.1109/CDC.2003.1272936","DOIUrl":"https://doi.org/10.1109/CDC.2003.1272936","url":null,"abstract":"In this paper we consider a single-product single-machine manufacturing system, with the machine characterized by multiple working modes. A cost is associated both with inventory surplus and demand backlog and the policy which minimizes the overall long-run expected cost, which based on previous work in literature is known to be a multiple hedging point policy, is analyzed. This paper derives a condition on system parameters for the optimality of just-in-time (JIT) policies and investigates the dependence of hedging points on the ratio among inventory surplus and backlog cost parameters. Some numerical examples are included to illustrate the effectiveness of the achieved results.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"1 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":"130354119","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":"H∞ control for preview and delayed strategies","authors":"A. Kojima, S. Ishijima","doi":"10.1109/.2001.980239","DOIUrl":"https://doi.org/10.1109/.2001.980239","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"158 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":"130108429","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":"Continuous-time fixed-lag smoothing in an H∞ setting","authors":"L. Mirkin","doi":"10.1109/.2001.980403","DOIUrl":"https://doi.org/10.1109/.2001.980403","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":"114281702","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}
An observer based robust output tracking controller design is proposed for a class of nonlinear systems which are input-output linearizable. An ultimate boundedness analysis is presented for an equivalent control based sliding observer where the estimation accuracy is eventually expressed in terms of a single parameter. The observer is incorporated into the closed loop to implement an ideal tracking control law and a complete Lyapunov observer/controller synthesis is performed to prove the ultimate boundedness of the tracking error.
{"title":"Stability analysis of a sliding observer based robust output tracking control design for a nonlinear system","authors":"Ibrahim Haskarat, Ümit Ozgiiner","doi":"10.1109/CDC.2000.914119","DOIUrl":"https://doi.org/10.1109/CDC.2000.914119","url":null,"abstract":"An observer based robust output tracking controller design is proposed for a class of nonlinear systems which are input-output linearizable. An ultimate boundedness analysis is presented for an equivalent control based sliding observer where the estimation accuracy is eventually expressed in terms of a single parameter. The observer is incorporated into the closed loop to implement an ideal tracking control law and a complete Lyapunov observer/controller synthesis is performed to prove the ultimate boundedness of the tracking error.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"1 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":"122676203","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}
Linli Xie, Gang-Yu Xiong, Xing He, T. Nyberg, W. Zhang, Xiaoming Xu
{"title":"Robust H∞ control for uncertain time delay stochastic systems containing saturating nonlinear actuators","authors":"Linli Xie, Gang-Yu Xiong, Xing He, T. Nyberg, W. Zhang, Xiaoming Xu","doi":"10.1109/.2001.980313","DOIUrl":"https://doi.org/10.1109/.2001.980313","url":null,"abstract":"","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"43 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":"122814741","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.2014.7039986
Zahra Aminzare, Eduardo Sontag
Contraction theory provides an elegant way to analyze the behaviors of certain nonlinear dynamical systems. Under sometimes easy to check hypotheses, systems can be shown to have the incremental stability property that trajectories converge to each other. The present paper provides a self-contained introduction to some of the basic concepts and results in contraction theory, discusses applications to synchronization and to reaction-diffusion partial differential equations, and poses several open questions.
{"title":"Contraction methods for nonlinear systems: A brief introduction and some open problems","authors":"Zahra Aminzare, Eduardo Sontag","doi":"10.1109/CDC.2014.7039986","DOIUrl":"https://doi.org/10.1109/CDC.2014.7039986","url":null,"abstract":"Contraction theory provides an elegant way to analyze the behaviors of certain nonlinear dynamical systems. Under sometimes easy to check hypotheses, systems can be shown to have the incremental stability property that trajectories converge to each other. The present paper provides a self-contained introduction to some of the basic concepts and results in contraction theory, discusses applications to synchronization and to reaction-diffusion partial differential equations, and poses several open questions.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"8 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":"115471604","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.2007.4435004
G. Silva‐Navarro, A. Cabrera-Amado
This paper deals with the problem of semiactive balancing control of a rotor-bearing system, where one journal bearings is supported on two radial Magneto-Rheological (MR) dampers. The mathematical model of the rotor-bearing system results from a Jeffcott-like model and the dynamics associated to the MR dampers, whose rheological properties depend on the current inputs. For control purposes we use the Choi- Lee-Park polynomial model for the MR dampers, which is quite consistent with the nonlinear and complex hysteresis behavior and also simplifies the physical implementation on an experimental setup. The semiactive control scheme for the unbalance response of the rotor-bearing system is synthesized using sliding-mode control techniques. Some numerical and experimental results are included to illustrate the dynamic performance and robustness of the overall system.
{"title":"Semiactive sliding-mode control of the unbalance response in a rotor-bearing system supported on MR dampers","authors":"G. Silva‐Navarro, A. Cabrera-Amado","doi":"10.1109/CDC.2007.4435004","DOIUrl":"https://doi.org/10.1109/CDC.2007.4435004","url":null,"abstract":"This paper deals with the problem of semiactive balancing control of a rotor-bearing system, where one journal bearings is supported on two radial Magneto-Rheological (MR) dampers. The mathematical model of the rotor-bearing system results from a Jeffcott-like model and the dynamics associated to the MR dampers, whose rheological properties depend on the current inputs. For control purposes we use the Choi- Lee-Park polynomial model for the MR dampers, which is quite consistent with the nonlinear and complex hysteresis behavior and also simplifies the physical implementation on an experimental setup. The semiactive control scheme for the unbalance response of the rotor-bearing system is synthesized using sliding-mode control techniques. Some numerical and experimental results are included to illustrate the dynamic performance and robustness of the overall system.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"128 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":"132632880","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.2002.1184194
U. Jönsson
Reachability analysis of a class of uncertain systems is considered in this paper. The nominal dynamics is piecewise affine and the disturbances and the uncertainty in the system are characterized by integral quadratic constraints defined in the time domain. Reachability tools for such systems are presented and it is discussed how they can be used in verification of hybrid systems. Particular attention is devoted to the application of the reachability tools for robustness analysis of oscillations in piecewise linear systems.
{"title":"On reachability analysis of uncertain hybrid systems","authors":"U. Jönsson","doi":"10.1109/CDC.2002.1184194","DOIUrl":"https://doi.org/10.1109/CDC.2002.1184194","url":null,"abstract":"Reachability analysis of a class of uncertain systems is considered in this paper. The nominal dynamics is piecewise affine and the disturbances and the uncertainty in the system are characterized by integral quadratic constraints defined in the time domain. Reachability tools for such systems are presented and it is discussed how they can be used in verification of hybrid systems. Particular attention is devoted to the application of the reachability tools for robustness analysis of oscillations in piecewise linear systems.","PeriodicalId":411031,"journal":{"name":"IEEE Conference on Decision and Control","volume":"35 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":"114431593","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":"A conjugate point theory for nonlinear programming problems","authors":"H. Kawasaki","doi":"10.1109/.2001.980411","DOIUrl":"https://doi.org/10.1109/.2001.980411","url":null,"abstract":"","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":"121909888","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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