{"title":"Recursive Estimation And Control For Stochastic Systems, H. F. Chen, Wiley, New York, 1985. No. of pages: 288. Price: £41.40. ISBN 0471–81566–7.","authors":"M. Hersh","doi":"10.1002/OCA.4660080109","DOIUrl":"https://doi.org/10.1002/OCA.4660080109","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"8 1","pages":"104-104"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080109","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51030492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper deals with the problem of production and advertising policy for a decaying item whose gradual loss of potential or utility is associated with the passage of time, such as grain, photographic film or electronic components. The delay effects of the advertisement on the sales rate are also considered in the problem. This leads to a control problem where the state equations are represented by integro-differential equations. The objective is to use optimal control theory to determine the production and advertising rates of the decay item which maximize the current value of net profit stream. For the model developed we present a computational procedure of finding the optimal policy and then carry out sensitivity analysis through an example problem. The properties of the optimal solution are discussed for the case of constant rate of delay effect.
{"title":"Optimal control of production and marketing systems with distributed time lags","authors":"Sung-Bin Choi, H. Hwang","doi":"10.1002/OCA.4660080405","DOIUrl":"https://doi.org/10.1002/OCA.4660080405","url":null,"abstract":"This paper deals with the problem of production and advertising policy for a decaying item whose gradual loss of potential or utility is associated with the passage of time, such as grain, photographic film or electronic components. The delay effects of the advertisement on the sales rate are also considered in the problem. This leads to a control problem where the state equations are represented by integro-differential equations. The objective is to use optimal control theory to determine the production and advertising rates of the decay item which maximize the current value of net profit stream. For the model developed we present a computational procedure of finding the optimal policy and then carry out sensitivity analysis through an example problem. The properties of the optimal solution are discussed for the case of constant rate of delay effect.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"8 1","pages":"351-364"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080405","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51031314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Models of optimal control of two-species ecological systems are considered on an infinite time horizon. Conditions are obtained under which the optimal exploitation of the system is stabilizing. Thus, a stationary state toward which all optimal trajectories must converge is defined. This extends to this class of models, the co-called turnpike property of optimal economic growth models.
{"title":"Stability and optimal exploitation over an infinite time horizon of interacting populations","authors":"A. Haurie","doi":"10.1002/OCA.4660030303","DOIUrl":"https://doi.org/10.1002/OCA.4660030303","url":null,"abstract":"Models of optimal control of two-species ecological systems are considered on an infinite time horizon. Conditions are obtained under which the optimal exploitation of the system is stabilizing. Thus, a stationary state toward which all optimal trajectories must converge is defined. This extends to this class of models, the co-called turnpike property of optimal economic growth models.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"3 1","pages":"241-256"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660030303","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51028053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Computational Techniques In Operations Research, A. M. Andrew, Abacus Press, 1985. No. of pages: 201. Price: £14.95. ISBN: 0 85626 425 3","authors":"D. S. Butler","doi":"10.1002/OCA.4660080110","DOIUrl":"https://doi.org/10.1002/OCA.4660080110","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"58 1","pages":"105-105"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080110","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51030518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Optimal control of a composite rectangular plate on an elastic foundation is studied with the objective of minimizing its dynamic response in a given period of time with the minimum possible expenditure of force. The plate undergoes transient vibrations starting from specified initial displacement and velocity distributions, and the control is exercised by optimally determining the transverse distributed force. The multiple objectives of the problem are taken into account by adopting a vector performance criterion comprising quadratic functional of the deflection, velocity and distributed force. The sufficiency condition of optimality is derived using control theory results which lead to an analytic solution of the problem. Numerical results are given for simply supported plates made of specially orthotropic layers of boron-fibre-reinforced plastic material. It is demonstrated that the effectiveness of the proposed control depends on the lamination order, foundation modulus, viscous damping, aspect ratio and terminal time as well as on the weight factors attached to various cost functionals.
{"title":"Distributed control of layered orthotropic plates with damping","authors":"S. Adali, I. Sadek, J. Sloss, J. Bruch","doi":"10.1002/OCA.4660090102","DOIUrl":"https://doi.org/10.1002/OCA.4660090102","url":null,"abstract":"Optimal control of a composite rectangular plate on an elastic foundation is studied with the objective of minimizing its dynamic response in a given period of time with the minimum possible expenditure of force. The plate undergoes transient vibrations starting from specified initial displacement and velocity distributions, and the control is exercised by optimally determining the transverse distributed force. The multiple objectives of the problem are taken into account by adopting a vector performance criterion comprising quadratic functional of the deflection, velocity and distributed force. The sufficiency condition of optimality is derived using control theory results which lead to an analytic solution of the problem. Numerical results are given for simply supported plates made of specially orthotropic layers of boron-fibre-reinforced plastic material. It is demonstrated that the effectiveness of the proposed control depends on the lamination order, foundation modulus, viscous damping, aspect ratio and terminal time as well as on the weight factors attached to various cost functionals.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"9 1","pages":"1-17"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660090102","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51030946","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
For certain types of elliptic boundary control problems, the boundary element method has considerable advantage over the traditional finite element or finite difference methods because of the reduction of dimensionality in computations. In this paper we examine a variant of such boundary integral methods based on Cauchy integrals. The cost functional here contains only finitely many quadratic terms related to sensory data at those finite interior points. We see that the numerical efficiency of this approach hinges largely on the complexity of the inverse of a certain boundary integral operator. In the case of a circle, such an inverse is readily obtainable and entire computations require only a small effort to yield useful numerical information about the optimal control. Other general situations are also discussed.
{"title":"A boundary element method based on Cauchy integrals for some linear quadratic boundary control problems on a circle","authors":"Goong Chen, Chiang-Pu Chen, I. Aronov","doi":"10.1002/OCA.4660090109","DOIUrl":"https://doi.org/10.1002/OCA.4660090109","url":null,"abstract":"For certain types of elliptic boundary control problems, the boundary element method has considerable advantage over the traditional finite element or finite difference methods because of the reduction of dimensionality in computations. In this paper we examine a variant of such boundary integral methods based on Cauchy integrals. The cost functional here contains only finitely many quadratic terms related to sensory data at those finite interior points. We see that the numerical efficiency of this approach hinges largely on the complexity of the inverse of a certain boundary integral operator. In the case of a circle, such an inverse is readily obtainable and entire computations require only a small effort to yield useful numerical information about the optimal control. Other general situations are also discussed.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"9 1","pages":"93-100"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660090109","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51031031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A multi-input/multi-output feedback control system synthesis method with output feedback structure is proposed on the basis of an improved optimal regulator theory. The method is applied to a DC motor/AC generator system. The effectiveness of the method is demonstrated by simulation and experimental studies. An input-output relation is derived through the observable canonical form of the state equations of the controlled object, and an improved optimal regulator theory is applied to the relation. The controller consists of proportional actions, integral actions, difference actions and compensating actions for input delay times. The (l — 1) th-order difference actions are included in the controller for the controlled object in which an lth-order output subsystem is included. On the other hand, the (n — 1) th-order difference actions are included in the previous method for the same controlled object. In order to consider the transient response of the designed control system, the relations between the weighting factors in the defined performance index and the transient response are studied by simulation and experiment. Satisfactory responses for a two-input/two-output system are obtained in our experiments.
{"title":"An Optimal output feedback control method and application to a motor‐generator system","authors":"Jiaquing Wang, T. Egami, T. Tsuchiya","doi":"10.1002/OCA.4660080406","DOIUrl":"https://doi.org/10.1002/OCA.4660080406","url":null,"abstract":"A multi-input/multi-output feedback control system synthesis method with output feedback structure is proposed on the basis of an improved optimal regulator theory. The method is applied to a DC motor/AC generator system. The effectiveness of the method is demonstrated by simulation and experimental studies. An input-output relation is derived through the observable canonical form of the state equations of the controlled object, and an improved optimal regulator theory is applied to the relation. The controller consists of proportional actions, integral actions, difference actions and compensating actions for input delay times. The (l — 1) th-order difference actions are included in the controller for the controlled object in which an lth-order output subsystem is included. On the other hand, the (n — 1) th-order difference actions are included in the previous method for the same controlled object. In order to consider the transient response of the designed control system, the relations between the weighting factors in the defined performance index and the transient response are studied by simulation and experiment. Satisfactory responses for a two-input/two-output system are obtained in our experiments.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"8 1","pages":"365-375"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080406","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51031361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic Optimization and Mathematical Economics Pan‐Tai Liu (Editor), Plenum Press, New York, 1980. No. of pages: 269. Price: $29.50.","authors":"G. Chow","doi":"10.1002/OCA.4660020211","DOIUrl":"https://doi.org/10.1002/OCA.4660020211","url":null,"abstract":"","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"2 1","pages":"204-205"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660020211","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51027719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A dynamic optimal-control based model that explicitly includes the effects of adjustment costs of investment and financing is presented to analyse the investment and financing decisions of a present value-maximizing firm. The model is constrained by an equity-capital formation and a linear homogeneous earnings-investment possibility function composed of two components: an adjustment-cost function and an ordinary production function. Pontryagin's maximum principle is used to solve the model. The main results derived from the model include an optimal investment decision rule, an optimal investment-financing plan, the long-run equity demand for the firm, and the long-run behaviour of investment and financing as they are affected by the existence of adjustment costs.
{"title":"Adjustment costs and the theory of optimal investment and financing of the firm","authors":"Winston T. Lin","doi":"10.1002/OCA.4660020106","DOIUrl":"https://doi.org/10.1002/OCA.4660020106","url":null,"abstract":"A dynamic optimal-control based model that explicitly includes the effects of adjustment costs of investment and financing is presented to analyse the investment and financing decisions of a present value-maximizing firm. The model is constrained by an equity-capital formation and a linear homogeneous earnings-investment possibility function composed of two components: an adjustment-cost function and an ordinary production function. Pontryagin's maximum principle is used to solve the model. The main results derived from the model include an optimal investment decision rule, an optimal investment-financing plan, the long-run equity demand for the firm, and the long-run behaviour of investment and financing as they are affected by the existence of adjustment costs.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"20 1","pages":"59-74"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660020106","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51027757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper proposes a synthesis method for an efficiency-optimized speed control system using a performance index including loss term. Since the performance index almost includes the loss term at the steady state, suboptimal efficiency is obtained. The speed response is controlled by tuning the values of the weighting factors at the transient state. The effectiveness is shown in simulation and experimental studies, and the system is more efficient than the usual control systems with constant field excitation.
{"title":"Efficiency‐optimized speed control system in separately excited DC‐motor drives—performance index method","authors":"T. Egami, Y. Kanamori, T. Tsuchiya","doi":"10.1002/OCA.4660080206","DOIUrl":"https://doi.org/10.1002/OCA.4660080206","url":null,"abstract":"This paper proposes a synthesis method for an efficiency-optimized speed control system using a performance index including loss term. Since the performance index almost includes the loss term at the steady state, suboptimal efficiency is obtained. The speed response is controlled by tuning the values of the weighting factors at the transient state. The effectiveness is shown in simulation and experimental studies, and the system is more efficient than the usual control systems with constant field excitation.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"8 1","pages":"175-190"},"PeriodicalIF":1.8,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080206","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51030577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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