The problem of optimal allocation of pointwise controllers for a class of linear stochastic distributed parameter systems (DPS) is considered. The optimal pointwise control is derived, via a direct approach, while minimizing a quadratic cost functional w.r.t. both control gains and controller positions using gradient techniques.
{"title":"Optimal allocation of pointwise controllers in stochastic distributed systems","authors":"S. Aidarous","doi":"10.1109/CDC.1975.270672","DOIUrl":"https://doi.org/10.1109/CDC.1975.270672","url":null,"abstract":"The problem of optimal allocation of pointwise controllers for a class of linear stochastic distributed parameter systems (DPS) is considered. The optimal pointwise control is derived, via a direct approach, while minimizing a quadratic cost functional w.r.t. both control gains and controller positions using gradient techniques.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128079316","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 man in the pipeline control room (the dispatcher) is responsible for the minute by minute management of the pipeline system. He must keep the hydraulics in balance and deliver the correct product at the right time and in the right quantity at the right place. He is required to do this by operating the pipeline in its most efficient dynamic form. Small computers have made it possible to present more information to aid the dispatcher in decision making, Illustrations from many pipeline operating companies show how this new equipment is being used to speed human reaction.
{"title":"Pipeline control room design to speed human reaction","authors":"W. Osborne","doi":"10.1109/CDC.1975.270568","DOIUrl":"https://doi.org/10.1109/CDC.1975.270568","url":null,"abstract":"The man in the pipeline control room (the dispatcher) is responsible for the minute by minute management of the pipeline system. He must keep the hydraulics in balance and deliver the correct product at the right time and in the right quantity at the right place. He is required to do this by operating the pipeline in its most efficient dynamic form. Small computers have made it possible to present more information to aid the dispatcher in decision making, Illustrations from many pipeline operating companies show how this new equipment is being used to speed human reaction.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131454116","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":"On the existence of saddle-point solutions for statistical games with noncompact strategy spaces","authors":"M. Mintz, M. Bock","doi":"10.1109/CDC.1975.270579","DOIUrl":"https://doi.org/10.1109/CDC.1975.270579","url":null,"abstract":"","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134031091","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 the first part of the paper, a characterization is given for the class of all closed loop eigenvector sets which can be obtained with a given set of distinct closed loop eigenvalues using state feedback. It is shown, furthermore, that the freedom one has in addition to specifying the closed loop eigenvalues is precisely this: to choose one set of closed loop eigenvectors from this class. Included in the proof of this result is an algorithm for computing the matrix of feedback gains which gives the chosen closed loop eigenvalues and eigenvectors. The last few sections of the paper present a method of utilizing the freedom to choose closed loop eigenvectors to improve the transient response characteristics of a coupled setpoint control system without altering its eigenvalues.
{"title":"On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment","authors":"B. Moore","doi":"10.1109/CDC.1975.270678","DOIUrl":"https://doi.org/10.1109/CDC.1975.270678","url":null,"abstract":"In the first part of the paper, a characterization is given for the class of all closed loop eigenvector sets which can be obtained with a given set of distinct closed loop eigenvalues using state feedback. It is shown, furthermore, that the freedom one has in addition to specifying the closed loop eigenvalues is precisely this: to choose one set of closed loop eigenvectors from this class. Included in the proof of this result is an algorithm for computing the matrix of feedback gains which gives the chosen closed loop eigenvalues and eigenvectors. The last few sections of the paper present a method of utilizing the freedom to choose closed loop eigenvectors to improve the transient response characteristics of a coupled setpoint control system without altering its eigenvalues.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"1987 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131089047","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":"On the automatic longitudinal control of individual vehicles","authors":"R. Fenton, Patrick Chu, G. Takasaki","doi":"10.1109/CDC.1975.270593","DOIUrl":"https://doi.org/10.1109/CDC.1975.270593","url":null,"abstract":"","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131100486","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 paper describes a system for controlling an artificial upper extremity prosthesis for above elbow amputees in several degrees of freedom. The system employs microprocessor hardware and is based on time series identification of the voluntary myoelectric signals involved and on subsequent limb-function discrimination via the above parameters. The system requires only 1 to 2 electrode sites and satisfies the various practical constraints of weight, volume, and speed as arise in practical prostheses.
{"title":"Multifunctional control of artificial upper limbs based on parameter identification of myoelectric signals","authors":"D. Graupe, W. Monlux","doi":"10.1109/CDC.1975.270657","DOIUrl":"https://doi.org/10.1109/CDC.1975.270657","url":null,"abstract":"The paper describes a system for controlling an artificial upper extremity prosthesis for above elbow amputees in several degrees of freedom. The system employs microprocessor hardware and is based on time series identification of the voluntary myoelectric signals involved and on subsequent limb-function discrimination via the above parameters. The system requires only 1 to 2 electrode sites and satisfies the various practical constraints of weight, volume, and speed as arise in practical prostheses.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132692387","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 multistage or staircase structure appears naturally in many models with time horizons. This paper presents and discusses a decomposition algorithm when the problem functions are convex. The Dantzig-Wolfe convex programming algorithm is presented as one of the techniques available for solving the generated subproblems. Computational implementation of the algorithm and more efficient techniques in the presence of special structure are discussed.
{"title":"A decomposition algorithm for multistage convex programs","authors":"Richard P. O'Neill","doi":"10.1109/CDC.1975.270574","DOIUrl":"https://doi.org/10.1109/CDC.1975.270574","url":null,"abstract":"The multistage or staircase structure appears naturally in many models with time horizons. This paper presents and discusses a decomposition algorithm when the problem functions are convex. The Dantzig-Wolfe convex programming algorithm is presented as one of the techniques available for solving the generated subproblems. Computational implementation of the algorithm and more efficient techniques in the presence of special structure are discussed.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"129 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128895755","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 describe several interconnections between the topics mentioned in the title. In particular, we show how some previously known formulas for inverting Toeplitz operators in both discrete- and continuous-time can be interpreted as versions of the Christoffel-Darboux formula for the biorthogonal Szegö and Krein polynomials on the circle and the line, respectively. The discrete-time inversion result is often known as Trench's formula, while the continuous-time result was apparently first deduced (in radiative transfer theory) by Sobolev. The concept of innovations is used to motivate the definitions of the Szegö and especially the Krein orthogonal functionals, and connections to work on the fitting of autoregressive models and inversion of the associated covariance matrices are also noted.
{"title":"Inverses of Toeplitz operators, innovations, and orthogonal polynomials","authors":"T. Kailath, A. Vieira, M. Morf","doi":"10.1137/1020006","DOIUrl":"https://doi.org/10.1137/1020006","url":null,"abstract":"We describe several interconnections between the topics mentioned in the title. In particular, we show how some previously known formulas for inverting Toeplitz operators in both discrete- and continuous-time can be interpreted as versions of the Christoffel-Darboux formula for the biorthogonal Szegö and Krein polynomials on the circle and the line, respectively. The discrete-time inversion result is often known as Trench's formula, while the continuous-time result was apparently first deduced (in radiative transfer theory) by Sobolev. The concept of innovations is used to motivate the definitions of the Szegö and especially the Krein orthogonal functionals, and connections to work on the fitting of autoregressive models and inversion of the associated covariance matrices are also noted.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131305094","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}
Multiple-target tracking in high target density situations can be posed as a multi-hypothesis decision problem. The complete solution of such problems on a real time basis requires that the computations be carried out in a computer-efficient manner. This paper discusses a formulation of the tracking problem based on 0-1 integer programming which can markedly reduce Computer time requirements.
{"title":"Application of 0-1 integer programming to a track assembly problem","authors":"C. Morefield","doi":"10.1109/CDC.1975.270725","DOIUrl":"https://doi.org/10.1109/CDC.1975.270725","url":null,"abstract":"Multiple-target tracking in high target density situations can be posed as a multi-hypothesis decision problem. The complete solution of such problems on a real time basis requires that the computations be carried out in a computer-efficient manner. This paper discusses a formulation of the tracking problem based on 0-1 integer programming which can markedly reduce Computer time requirements.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115574401","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 system for on-line detection and identification of aircraft sensor and effector failures is developed. The heart of the system is a state estimator which provides accurate, real time estimates of the aircraft states. These estimates are used both to provide failure analysis and as inputs to the flight control system. Because the sensors measure functions of the aircraft state, the state estimator also provides running estimates of what it believes each sensor output ought to be, based upon the previous history of sensor outputs and commanded control inputs. Because of the relatively large number of sensors, of various types, that are available; there is an abundance of observability. Thus, failure of a single sensor will not greatly degrade the state estimates and in the event of a sensor failure the output of the failed sensor will diverge from the estimated value. The divergence is monitored and decision logic, based upon likelihood ratio tests, is employed for sensor failure detection and identification (FDI). The likelihood ratio methods provide a systematic, quantitative means for design of the decision logic. This FDI technique is in direct contrast to techniques which employ voting among like sensors and therefore require three sensors of every type in order to identify the single failure of any one of them. The present technique, employing likelihood ratio methods, requires fewer sensors because of its utilization of the redundant information available from sensors of different types which are coupled through the dynamics of the aircraft.
{"title":"Application of likelihood ratio methods to failure detection and identification in the NASA F-8 DFBW aircraft","authors":"J. Deyst, J. Deckert","doi":"10.1109/CDC.1975.270684","DOIUrl":"https://doi.org/10.1109/CDC.1975.270684","url":null,"abstract":"A system for on-line detection and identification of aircraft sensor and effector failures is developed. The heart of the system is a state estimator which provides accurate, real time estimates of the aircraft states. These estimates are used both to provide failure analysis and as inputs to the flight control system. Because the sensors measure functions of the aircraft state, the state estimator also provides running estimates of what it believes each sensor output ought to be, based upon the previous history of sensor outputs and commanded control inputs. Because of the relatively large number of sensors, of various types, that are available; there is an abundance of observability. Thus, failure of a single sensor will not greatly degrade the state estimates and in the event of a sensor failure the output of the failed sensor will diverge from the estimated value. The divergence is monitored and decision logic, based upon likelihood ratio tests, is employed for sensor failure detection and identification (FDI). The likelihood ratio methods provide a systematic, quantitative means for design of the decision logic. This FDI technique is in direct contrast to techniques which employ voting among like sensors and therefore require three sensors of every type in order to identify the single failure of any one of them. The present technique, employing likelihood ratio methods, requires fewer sensors because of its utilization of the redundant information available from sensors of different types which are coupled through the dynamics of the aircraft.","PeriodicalId":164707,"journal":{"name":"1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1975-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124187385","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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