Fault detection and diagnosis is modelled as the nonlinear filtering problem of a linear systems with jumping parameters. Assuming that faults occur according to a stationary finite state Markov process, the optimal filter is represented in terms of a vector Zakai equation. This equation can be solved explicitly in a manner that reveals both the realization as well as the physical meaning of several suboptimal filtering schemes.
{"title":"On the solution of the Zakai equation for the process diagnostics problem","authors":"K. Loparo, Z. Roth","doi":"10.1109/CDC.1984.272083","DOIUrl":"https://doi.org/10.1109/CDC.1984.272083","url":null,"abstract":"Fault detection and diagnosis is modelled as the nonlinear filtering problem of a linear systems with jumping parameters. Assuming that faults occur according to a stationary finite state Markov process, the optimal filter is represented in terms of a vector Zakai equation. This equation can be solved explicitly in a manner that reveals both the realization as well as the physical meaning of several suboptimal filtering schemes.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123479745","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}
First-order necessary conditions for optimal reduced-order modelling of linear time-invariant systems are derived in the form of a pair of modified Lyapunov equations coupled by an oblique projection that determines the optimal reduced-order model. This form of the necessary conditions considerably simplifies previous results of Wilson ([1]) and clearly reveals the suboptimality of the balancing method of Moore ([2]).
{"title":"The optimal projection approach to model reduction and the relationship between the methods of Wilson and Moore","authors":"D. Hyland, D. Bernstein","doi":"10.1109/CDC.1984.272285","DOIUrl":"https://doi.org/10.1109/CDC.1984.272285","url":null,"abstract":"First-order necessary conditions for optimal reduced-order modelling of linear time-invariant systems are derived in the form of a pair of modified Lyapunov equations coupled by an oblique projection that determines the optimal reduced-order model. This form of the necessary conditions considerably simplifies previous results of Wilson ([1]) and clearly reveals the suboptimality of the balancing method of Moore ([2]).","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123617188","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}
Information based complexity is a unified treatment of problems where only partial or approximate information is available. In this approach one states how well a problem should be solved and indicates the type of information available. The theory then tells one optimal information and optimal algorithm and yields bounds on the problem complexity. In this paper we survey some recent results addressing one of the problems studied in information based complexity. The problem deals with nonadaptive and adaptive information both for the worst case and average case settings.
{"title":"When is nonadaptive information as powerful as adaptive information?","authors":"J. Traub, G. Wasilkowski, H. Wozniakowski","doi":"10.1109/CDC.1984.272339","DOIUrl":"https://doi.org/10.1109/CDC.1984.272339","url":null,"abstract":"Information based complexity is a unified treatment of problems where only partial or approximate information is available. In this approach one states how well a problem should be solved and indicates the type of information available. The theory then tells one optimal information and optimal algorithm and yields bounds on the problem complexity. In this paper we survey some recent results addressing one of the problems studied in information based complexity. The problem deals with nonadaptive and adaptive information both for the worst case and average case settings.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122000158","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 Jacobi-Liouville theorem for Hamiltonian control systems","authors":"J. Grizzle, S. Marcus","doi":"10.1109/CDC.1984.272351","DOIUrl":"https://doi.org/10.1109/CDC.1984.272351","url":null,"abstract":"","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122116636","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 we adopt a geometric approach to study the pencil (sE-A). The relationship between a certain subspace and a polynomial basis for ker (sE-A) is established. An alternative characterization for the finite-zero structure of a singular pencil is presented. Necessary and sufficient conditions for the columns or the rows of the singular pencil (sE-A) to be linearly independent over the ring of the polynomials are also given. The main geometric properties of a regular pencil are presented, including the identification of the subspace in which the impulsive response of the autonomous generalized linear system Ex = Ax takes place. The generalized linear system Ex = Ax + Bu; y = Cx is also considered: necessary and sufficient conditions for the infinite-zeros of the regular pencil (sE-A) to be controllable and observable are shown.
{"title":"The pencil (sE-A) and controllability-observability for generalized linear systems: A geometric approach","authors":"V. Armentano","doi":"10.1137/0324037","DOIUrl":"https://doi.org/10.1137/0324037","url":null,"abstract":"In this paper we adopt a geometric approach to study the pencil (sE-A). The relationship between a certain subspace and a polynomial basis for ker (sE-A) is established. An alternative characterization for the finite-zero structure of a singular pencil is presented. Necessary and sufficient conditions for the columns or the rows of the singular pencil (sE-A) to be linearly independent over the ring of the polynomials are also given. The main geometric properties of a regular pencil are presented, including the identification of the subspace in which the impulsive response of the autonomous generalized linear system Ex = Ax takes place. The generalized linear system Ex = Ax + Bu; y = Cx is also considered: necessary and sufficient conditions for the infinite-zeros of the regular pencil (sE-A) to be controllable and observable are shown.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"48 17","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120836653","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 steady-state voltage stability of a power system is studied via linearized dynamical equations of on-load tap changers and steady-state decoupled reactive power flow equations. A set of conditions is derived for a hyperbox of tap settings and load bus voltages to satisfy the steady-state stability requirements. The results can be used to construct steady-state voltage stability regions for the security monitoring of power systems.
{"title":"Steady-state voltage stability regions of power systems","authors":"Chen-Ching Liu, Felix Wu","doi":"10.1109/CDC.1984.272044","DOIUrl":"https://doi.org/10.1109/CDC.1984.272044","url":null,"abstract":"The steady-state voltage stability of a power system is studied via linearized dynamical equations of on-load tap changers and steady-state decoupled reactive power flow equations. A set of conditions is derived for a hyperbox of tap settings and load bus voltages to satisfy the steady-state stability requirements. The results can be used to construct steady-state voltage stability regions for the security monitoring of power systems.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129498112","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 new approach is presented to solving the problem of maneuvering target tracking. This approach combines maneuver detection and parameter estimation through use of an Adaptive Recursive Least Squares algorithm in U-D form, including a forgetting factor. New self-tuning smoother-predictors are proposed to predict the target trajectory. The behavior of such adaptive predictors is illustrated using real radar measurements.
{"title":"Adaptive smoother-predictors for tracking maneuvering targets","authors":"G. Favier, A. Smolders","doi":"10.1109/CDC.1984.272124","DOIUrl":"https://doi.org/10.1109/CDC.1984.272124","url":null,"abstract":"A new approach is presented to solving the problem of maneuvering target tracking. This approach combines maneuver detection and parameter estimation through use of an Adaptive Recursive Least Squares algorithm in U-D form, including a forgetting factor. New self-tuning smoother-predictors are proposed to predict the target trajectory. The behavior of such adaptive predictors is illustrated using real radar measurements.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129503564","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 addresses the application of Artificial Intelligence (AI), to the continuing human factors issue, man-machine interface. A concept of the operator's role in automated systems is presented and used as the context for developing a notional system architecture for an intelligent interface. Some of the human factors and AI research issues are discussed. It should be noted that I presented a similar paper at an AI conference in Rochester, Michigan, April 1983. With the exception of projects within the Army Research Institute and related work in the Applied Psychology Unit, Admiralty Research Establishment, U.K., I have seen no groundswell of research addressing the issues I raised 18 months ago. I am repeating and updating my "proposal" for a new research focus in hopes of stimulating an increasing awareness of critical gaps in our knowledge of how to take advantage of technological advances in man-machine systems.
{"title":"A proposal for an intelligent interface in man-machine systems","authors":"S. Halpin","doi":"10.1109/CDC.1984.272071","DOIUrl":"https://doi.org/10.1109/CDC.1984.272071","url":null,"abstract":"This paper addresses the application of Artificial Intelligence (AI), to the continuing human factors issue, man-machine interface. A concept of the operator's role in automated systems is presented and used as the context for developing a notional system architecture for an intelligent interface. Some of the human factors and AI research issues are discussed. It should be noted that I presented a similar paper at an AI conference in Rochester, Michigan, April 1983. With the exception of projects within the Army Research Institute and related work in the Applied Psychology Unit, Admiralty Research Establishment, U.K., I have seen no groundswell of research addressing the issues I raised 18 months ago. I am repeating and updating my \"proposal\" for a new research focus in hopes of stimulating an increasing awareness of critical gaps in our knowledge of how to take advantage of technological advances in man-machine systems.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128315397","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}
For a class of linear dynamical systems containing uncertain elements and subject to uncertain inputs, a model following control systems is designed. It is shown that the error between the states of the model and the plant is uniformly bounded and ultimately bounded with respect to a certain ultimate boundedness set provided that certain measure of mismatch b2 does not exceed a critical mismatch threshold M*.
{"title":"Ultimate boundedness control of uncertain linear model following systems","authors":"Sahjendra N. Singh","doi":"10.1109/CDC.1984.272218","DOIUrl":"https://doi.org/10.1109/CDC.1984.272218","url":null,"abstract":"For a class of linear dynamical systems containing uncertain elements and subject to uncertain inputs, a model following control systems is designed. It is shown that the error between the states of the model and the plant is uniformly bounded and ultimately bounded with respect to a certain ultimate boundedness set provided that certain measure of mismatch b2 does not exceed a critical mismatch threshold M*.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"2010 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128212825","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 reactive power (var) flow and its effect on power system control and operation. In particular, an Automatic Var Control computer program is described which is being implemented in the Energy Control Center of a Canadian utility. This program will send control signals to power system devices in order to eliminate or at least minimize voltage violations. The control devices include generating units, transformers, and shunt capacitors. A linear programming algorithm is employed to determine the amount and placement of control action based on linearized incremental relationships between voltage and var flow.
{"title":"Reactive power simulation and control for electric utilities","authors":"Walter L. Snyder","doi":"10.1109/CDC.1984.272420","DOIUrl":"https://doi.org/10.1109/CDC.1984.272420","url":null,"abstract":"This paper describes reactive power (var) flow and its effect on power system control and operation. In particular, an Automatic Var Control computer program is described which is being implemented in the Energy Control Center of a Canadian utility. This program will send control signals to power system devices in order to eliminate or at least minimize voltage violations. The control devices include generating units, transformers, and shunt capacitors. A linear programming algorithm is employed to determine the amount and placement of control action based on linearized incremental relationships between voltage and var flow.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128287344","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}