{"title":"On the solutions of the load flow equations in power systems","authors":"A. Arapotathis, S. Sastry, P. Varaiya","doi":"10.1109/CDC.1980.272036","DOIUrl":"https://doi.org/10.1109/CDC.1980.272036","url":null,"abstract":"","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125267313","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}
Application of a modal control design technique to achieve discrete control of distributed parameter systems is considered. Results are presented for application of the design technique to achieve diffraction limited performance from the primary mirror of a space telescope and to provide flutter suppression for an aircraft wing.
{"title":"Figure control of flexible structures: Optimal surfaces of thin deformable primary","authors":"J. Creedon, A. Ostroff","doi":"10.1109/CDC.1980.272003","DOIUrl":"https://doi.org/10.1109/CDC.1980.272003","url":null,"abstract":"Application of a modal control design technique to achieve discrete control of distributed parameter systems is considered. Results are presented for application of the design technique to achieve diffraction limited performance from the primary mirror of a space telescope and to provide flutter suppression for an aircraft wing.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124743115","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 well-known techniques for nonlinear systems identification via Wiener or Cameron-Martin series expansion require Gaussian white noise (or, in certain variations, shot noise or broad band Gaussian noise) as a test input signal. Certain applications to adaptive control require the extension of these methods to cover inputs consisting of zero mean white noise superimposed on a deterministic reference signal. An extension of the Cameron-Martin expansion is made to cover this case, and the properties of this expansion (best representation theorem, Bessel inequality, mean square convergence, Parseval's theorem) are shown. An identification method based on a least-squares solution for the parameters of this expansion has been successfully tested in a computer simulation.
{"title":"Functional series identification of nonlinear systems for adaptive control","authors":"F. King, M. Warren","doi":"10.1109/CDC.1980.271936","DOIUrl":"https://doi.org/10.1109/CDC.1980.271936","url":null,"abstract":"The well-known techniques for nonlinear systems identification via Wiener or Cameron-Martin series expansion require Gaussian white noise (or, in certain variations, shot noise or broad band Gaussian noise) as a test input signal. Certain applications to adaptive control require the extension of these methods to cover inputs consisting of zero mean white noise superimposed on a deterministic reference signal. An extension of the Cameron-Martin expansion is made to cover this case, and the properties of this expansion (best representation theorem, Bessel inequality, mean square convergence, Parseval's theorem) are shown. An identification method based on a least-squares solution for the parameters of this expansion has been successfully tested in a computer simulation.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"56 20","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120852765","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 purpose of this talk is to present a brief overview of work in mathematical systems theory which is directly applicable to the study and analysis of large complicated systems such as the so-called C3 systems. The material presented in this talk is based on joint work with Professor P. Krishnaprasad and various graduate students at Case Institute of Technology. I refer the reader to [1] for a full technical development of the systems theoretic concepts of this presentation. I acknowledge that this written material has been freely adopted from [l] and that Professor Krishnaprasad bears no responsibility for conceptual errors induced by this adaptation. In any physical system it is customary to develop a model of the system about some equilibrium point or some fixed trajectory. For simplicity we assume that we are modeling about an equilibrium point. Almost any useful such model can take into account small variations in system parameters. And, for routine control problems the ability to handle such small variations is usually adequate. However, few control problems are in practice routine and one often finds that the possibility of large excursions of parameters makes a totally automatic control system unacceptable to practitioners. Such problems in avionics has motivated us to consider continuous families of models that explicitly include critical parameters. In particular, the problem of developing reliable avionic systems leads one in a natural way to study families of systems. Control engineers have always implicitly been aware of families of systems. Our main contribution has been in the development of techniques to directly study such systems. Whereas for a fixed linear system the well-established techniques of linear algebra and differential equations generally suffice for a detailed study, we find that the more esoteric (but not more difficult) fields of differential geometry and topology and algebraic geometry play a key role in any such study of families of linear systems. For more complicated systems, such as C3 systems, obviously one cannot describe a mathematical model that completely mimics the system--nor would one want to. Instead, as is always done, one models portions of the system, or makes aggregated models that can be studied with known techniques. This talk will focus on such possible models for simplified C3 systems.
{"title":"Algebra-geometric techniques for C3 systems","authors":"C. Martin","doi":"10.1109/CDC.1980.271784","DOIUrl":"https://doi.org/10.1109/CDC.1980.271784","url":null,"abstract":"The purpose of this talk is to present a brief overview of work in mathematical systems theory which is directly applicable to the study and analysis of large complicated systems such as the so-called C3 systems. The material presented in this talk is based on joint work with Professor P. Krishnaprasad and various graduate students at Case Institute of Technology. I refer the reader to [1] for a full technical development of the systems theoretic concepts of this presentation. I acknowledge that this written material has been freely adopted from [l] and that Professor Krishnaprasad bears no responsibility for conceptual errors induced by this adaptation. In any physical system it is customary to develop a model of the system about some equilibrium point or some fixed trajectory. For simplicity we assume that we are modeling about an equilibrium point. Almost any useful such model can take into account small variations in system parameters. And, for routine control problems the ability to handle such small variations is usually adequate. However, few control problems are in practice routine and one often finds that the possibility of large excursions of parameters makes a totally automatic control system unacceptable to practitioners. Such problems in avionics has motivated us to consider continuous families of models that explicitly include critical parameters. In particular, the problem of developing reliable avionic systems leads one in a natural way to study families of systems. Control engineers have always implicitly been aware of families of systems. Our main contribution has been in the development of techniques to directly study such systems. Whereas for a fixed linear system the well-established techniques of linear algebra and differential equations generally suffice for a detailed study, we find that the more esoteric (but not more difficult) fields of differential geometry and topology and algebraic geometry play a key role in any such study of families of linear systems. For more complicated systems, such as C3 systems, obviously one cannot describe a mathematical model that completely mimics the system--nor would one want to. Instead, as is always done, one models portions of the system, or makes aggregated models that can be studied with known techniques. This talk will focus on such possible models for simplified C3 systems.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134542333","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}
We present an algorithm for solving singular value inequalities over a continuum of frequencies. The algorithm is in two parts: a master algorithm which constructs an infinite sequence of finite sets of inequalities and a nondifferentiable optimization subalgorithm which solves these finite sets of inequalities.
{"title":"On the solution of singular value inequalities over a continuum of frequencies","authors":"E. Polak, D. Mayne","doi":"10.1109/CDC.1980.272012","DOIUrl":"https://doi.org/10.1109/CDC.1980.272012","url":null,"abstract":"We present an algorithm for solving singular value inequalities over a continuum of frequencies. The algorithm is in two parts: a master algorithm which constructs an infinite sequence of finite sets of inequalities and a nondifferentiable optimization subalgorithm which solves these finite sets of inequalities.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134071199","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}
Using algebraic techniques 1) we show how to design unity-feedback control systems with stable rectangular plant, 2) we exhibit the necessary and sufficient condition that an unstable multiplicative plant perturbation must satisfy in order not to upset the System stability. Finally, we generalize to a purely algebraic setting.
{"title":"Algebraic techniques in design and design evaluation","authors":"C. Desoer, M. Chen","doi":"10.1109/CDC.1980.271792","DOIUrl":"https://doi.org/10.1109/CDC.1980.271792","url":null,"abstract":"Using algebraic techniques 1) we show how to design unity-feedback control systems with stable rectangular plant, 2) we exhibit the necessary and sufficient condition that an unstable multiplicative plant perturbation must satisfy in order not to upset the System stability. Finally, we generalize to a purely algebraic setting.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133683219","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 [1], the problem of optimally approximating a discrete-time system by a lower-order system was solved based on a remarkable theoretical result of Adamjan, Arov and Krein [2]. In this paper, we derive similar reduced models for continuous-time systems using a new approach based on the system structure of the finite dimensional model. Concrete algorithms are developed for finding approximations of any specified order. These approximations are optimal in a well defined sense.
{"title":"Optimal approximation of continuous-time systems","authors":"M. Bettayeb, L. Silverman, M. Safonov","doi":"10.1109/CDC.1980.271777","DOIUrl":"https://doi.org/10.1109/CDC.1980.271777","url":null,"abstract":"In [1], the problem of optimally approximating a discrete-time system by a lower-order system was solved based on a remarkable theoretical result of Adamjan, Arov and Krein [2]. In this paper, we derive similar reduced models for continuous-time systems using a new approach based on the system structure of the finite dimensional model. Concrete algorithms are developed for finding approximations of any specified order. These approximations are optimal in a well defined sense.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132043368","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 is presented for estimating reachable sets for nonlinear control systems. The approach combines controllability, abnormality, Lyapunov stability, and Stackelberg optimality. The method is applied to a multiple species fishery model.
{"title":"Lyapunov-stackelberg estimates for reachable sets","authors":"W. Grantham","doi":"10.1109/CDC.1980.271908","DOIUrl":"https://doi.org/10.1109/CDC.1980.271908","url":null,"abstract":"A method is presented for estimating reachable sets for nonlinear control systems. The approach combines controllability, abnormality, Lyapunov stability, and Stackelberg optimality. The method is applied to a multiple species fishery model.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129837012","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 following surprising result has recently been proved: the arrival and departure processes at a node in a Jackson network of M/M/1 nodes have the same interarrival time distribution, under equilibrium [1]. This result, which has been generalized to the case of M/M/1 node in a quasireversible network [2], led the authors of [1] to conjecture the equivalence in law of those processes. It will be shown that this equivalence does not hold in general. The necessary and sufficient conditions for the equivalence of the flows in a closed network of two M/M/s queues will be given (see [3], [4]). The technique used is the martingale approach to the analysis of networks of queues and it will be briefly discussed (see [5]-[6]).
{"title":"On the equivalence of flows in queuing networks","authors":"J. Walrand, P. Varaiya","doi":"10.1109/CDC.1980.271869","DOIUrl":"https://doi.org/10.1109/CDC.1980.271869","url":null,"abstract":"The following surprising result has recently been proved: the arrival and departure processes at a node in a Jackson network of M/M/1 nodes have the same interarrival time distribution, under equilibrium [1]. This result, which has been generalized to the case of M/M/1 node in a quasireversible network [2], led the authors of [1] to conjecture the equivalence in law of those processes. It will be shown that this equivalence does not hold in general. The necessary and sufficient conditions for the equivalence of the flows in a closed network of two M/M/s queues will be given (see [3], [4]). The technique used is the martingale approach to the analysis of networks of queues and it will be briefly discussed (see [5]-[6]).","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130259301","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 describes computer-based, dynamic positioning system for floating vessels. The system is based on a detailed mathematical model of vessel motion in response to forces from thrusters, wind, waves and water current. The system uses a Kalman filter for optimal estimation of vessel motions and environmental forces from wind, waves and current. The control system is based on feedback from the motion variables where the oscillatory, wave-induced component is removed by the estimator. Feedback from the water current estimate provides the integral action of the system and feed forward from the wind force estimates are implemented. Simulation results and recordings from actual operation of the system indicate an excellent system performance. Reference is given to installations made on actual vessels.
{"title":"Dynamic positioning of floating vessles based on Kalman filtering and optimal control","authors":"J. Balchen, N. Jenssen, E. Mathisen, S. Saelid","doi":"10.1109/CDC.1980.271924","DOIUrl":"https://doi.org/10.1109/CDC.1980.271924","url":null,"abstract":"This paper describes computer-based, dynamic positioning system for floating vessels. The system is based on a detailed mathematical model of vessel motion in response to forces from thrusters, wind, waves and water current. The system uses a Kalman filter for optimal estimation of vessel motions and environmental forces from wind, waves and current. The control system is based on feedback from the motion variables where the oscillatory, wave-induced component is removed by the estimator. Feedback from the water current estimate provides the integral action of the system and feed forward from the wind force estimates are implemented. Simulation results and recordings from actual operation of the system indicate an excellent system performance. Reference is given to installations made on actual vessels.","PeriodicalId":332964,"journal":{"name":"1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1980-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115176417","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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