{"title":"Self-optimization of a control system by means of a logic circuit","authors":"T. Isobe","doi":"10.1109/TAC.1961.1105213","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105213","url":null,"abstract":"The self-optimization of a control system has been tried by means of a logic circuit. The device makes successive trials by giving values of a parameter to the system and, on the basis of the resulting successive observations of the mean-square error, finally finds the value of the parameter giving the minimum error. The device is also able to follow the change of the system conditions to keep the system optimum. The optimum value of damping ratio of a second-order system with LF Gaussian noise input is also discussed on the basis of the data obtained with the device.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"2 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114123765","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":"Analysis of pulse-width-modulated control systems","authors":"F. Delfeld, G. Murphy","doi":"10.1109/TAC.1961.1105216","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105216","url":null,"abstract":"Previous work on the analysis and design of pulse-width-modulated control systems is reviewed, and the limitations of some of the earlier contributions are discussed. A mathematical development of an orderly and relatively simple method for the exact determination of the response of closed-loop pulse-width-modulated control systems to arbitrary input is then presented. Through the use of difference equations and the separation of linear and nonlinear terms, the output at the sampling instants is expressed as a function of the sampled error, and z -transform theory is then employed to obtain an exact solution for the error at the sampling instants. A technique for studying the stability and other performance characteristics of pulse-width-modulated feedback systems is next presented. The exact method of analysis developed earlier and a modified describing-function technique are utilized together to investigate stability without overlooking pulse-width saturation. Three illustrative examples are also presented to demonstrate the relative simplicity of the methods described in the paper as well as the accuracy of the results obtained by the use of these methods.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114771391","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":"Integral transforms for a class of time-varying linear systems","authors":"K. Narendra","doi":"10.1109/TAC.1961.1105219","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105219","url":null,"abstract":"This paper presents an extension of the transform method to systems having parameters which vary with time. By using the general λ domain approach suggested by Zadeh for the analysis and synthesis of linear time-varying systems, a system function H(lambda) independent of time may be defined for the linear system. Such a system function has many of the advantages of that obtained for stationary systems using the Laplace transformation. By making H(lambda) a ratio of polynomials in the complex variable λ the pole-zero synthesis technique used for fixed systems may be applied to the time-varying case as well. Recently, a \"building block\" for the synthesis of a class of time-varying systems was suggested by Kilmer and Johnson. A similar building block for systems with exponentially varying coefficients is suggested in this paper.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127101660","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":"The sensitivity problem in sampled-data feedback systems","authors":"I. Horowitz","doi":"10.1109/TAC.1961.1105215","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105215","url":null,"abstract":"This paper is devoted to a discussion of the effect of parameter variations on the system response in sampled-data feedback systems. It is shown that in any single degree of freedom feedback configuration, the system response and especially its overshoot are inherently very sensitive to parameter variation. By means of a suitable transformation, the properties of the sensitivity function can be studied in terms of the usual continuous system frequency concepts, e.g., bandwidth and loop transmission shaping on the Bode plane. There is a basic limitation on the loop transmission bandwidth that can be obtained in any sampled-data feedback configuration. This limitation makes it impossible to secure the unlimited sensitivity reduction which is theoretically available in minimum phase continuous systems. It is shown how one must achieve a compromise between the values of the sampling period, the system response, and the sensitivity function. The design procedure is illustrated in detail with a numerical design problem in which there is substantial parameter variation.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131277571","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":"Notes on the stability criterion for linear discrete systems","authors":"E. Jury","doi":"10.1109/TAC.1961.1105201","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105201","url":null,"abstract":"It is known that linear time-invariant discrete systems can be described by constant coefficient linear difference equations. One of the problems in the analysis of such systems is the test for stability. These tests involve both graphical procedures such as Nyquist locus, Bode diagrams and the root-locus, and analytical methods such as Schur-Cohn1 or Routh-Hurwitz criteria. Because of the high-order determinants to be evaluated using the present form of the Schur-Cohn criterion, many authors have used the bilinear transformation which maps the inside of the unit circle in the z = eTs plane into the left half of the w plane and then applied the Routh-Hurwitz criterion. This transformation involves algebraic manipulation which for higher-order systems becomes complicated.","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127072871","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":"Comments on \"Mathematical aspects of the synthesis of linear minimum response-time controllers","authors":"P. Wang","doi":"10.1109/TAC.1961.1105207","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105207","url":null,"abstract":"","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130554712","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":"Perturbation approach to the response of a control system","authors":"P. Mosner","doi":"10.1109/TAC.1961.1105203","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105203","url":null,"abstract":"","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"137 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121347904","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":"Russian contributions to control theory","authors":"L. Neustadt, E. Lee","doi":"10.1109/TAC.1961.1105222","DOIUrl":"https://doi.org/10.1109/TAC.1961.1105222","url":null,"abstract":"","PeriodicalId":226447,"journal":{"name":"Ire Transactions on Automatic Control","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1961-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121927509","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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