Pub Date : 1987-06-10DOI: 10.1109/ACC.1987.4172417
H. Elliott, G. Goodwin
This paper considers a new algorithm for discrete time adaptive pole assignment which incorporates the internal model principle and hence allows for rejection of deterministically modelled disturbances and tracking of simple reference signals. A complete global stability analysis is given.
{"title":"Adaptive implementation of the internal model principle","authors":"H. Elliott, G. Goodwin","doi":"10.1109/ACC.1987.4172417","DOIUrl":"https://doi.org/10.1109/ACC.1987.4172417","url":null,"abstract":"This paper considers a new algorithm for discrete time adaptive pole assignment which incorporates the internal model principle and hence allows for rejection of deterministically modelled disturbances and tracking of simple reference signals. A complete global stability analysis is given.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1987-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125485818","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 reason [OPT) occurs is simple. Supposr that vou are asked to design a s!stem to optimize a rertain perfornlanre measure at each frequency u. Part of the system i. gien and another part, is designable. If the designable part is described by ?i complex var iables f l ( jxj ...,: fx( jG) at f requenq ( j d ) . Then the performance measure is a function r(u.j(w)j for a particular choice of designable 1. Thus the problem of finding the specifications f ( j w ) producing an optimal design is indeed ( O P T ) . If the designable are the stable ?. then E = H"($) or if stabilits of the full system is an issue then a reparametrization usually allows one to take E = H".
发生OPT的原因很简单。假设你被要求设计一个s!系统在每个频率u上优化一定的性能度量。系统的一部分是可设计的，另一部分是可设计的。如果可设计部分是由i个复杂变量f (jxj…，: fx(jG) at frequency (jd)。那么性能度量就是一个函数r(u.j(w)j)对于一个特定的可设计性选择1。因此，找到产生最优设计的规格f (j w)的问题确实是(O P T)。如果设计是稳定的?那么E = H”($)，或者如果整个系统的稳定性是一个问题，那么重新参数化通常允许取E = H”。
{"title":"H∞ control for competing objectives","authors":"J. Helton","doi":"10.1109/CDC.1984.272366","DOIUrl":"https://doi.org/10.1109/CDC.1984.272366","url":null,"abstract":"The reason [OPT) occurs is simple. Supposr that vou are asked to design a s!stem to optimize a rertain perfornlanre measure at each frequency u. Part of the system i. gien and another part, is designable. If the designable part is described by ?i complex var iables f l ( jxj ...,: fx( jG) at f requenq ( j d ) . Then the performance measure is a function r(u.j(w)j for a particular choice of designable 1. Thus the problem of finding the specifications f ( j w ) producing an optimal design is indeed ( O P T ) . If the designable are the stable ?. then E = H\"($) or if stabilits of the full system is an issue then a reparametrization usually allows one to take E = H\".","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"32 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":"115395463","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 disadvantage of nonlinear system design by linearization about a constant operating point is that the characteristics of the linearized closed-loop system will change with changes in the operating point. This paper introduces an approach to design of a nonlinear output-feedback controller such that the linearized closed-loop system has specified pole locations that are insensitive to changes in the closed-loop operating point to a specified order.
{"title":"Design of nonlinear compensators for nonlinear systems by an extended linearization technique","authors":"W. Rugh","doi":"10.1109/CDC.1984.272275","DOIUrl":"https://doi.org/10.1109/CDC.1984.272275","url":null,"abstract":"A disadvantage of nonlinear system design by linearization about a constant operating point is that the characteristics of the linearized closed-loop system will change with changes in the operating point. This paper introduces an approach to design of a nonlinear output-feedback controller such that the linearized closed-loop system has specified pole locations that are insensitive to changes in the closed-loop operating point to a specified order.","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":"115493767","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}
Characterization for the class of decentralized feedbacks that is necessary for achieving arbitrary eigenvalues for large-scale dynamically interconnected system containing delay, is given. By expanding the system's state space, the delay disappears. Feedback gains are designed in the extended state space but implemented in the original state space. Local autonomy of subsystems-interconnections is emphasized in the proposed assignment procedure by coordinating local solutions.
{"title":"Eigenvalue assignment for dynamically interconnected systems with delayes","authors":"A. El-Kashlan, M. El-Geneidy","doi":"10.1109/CDC.1984.272401","DOIUrl":"https://doi.org/10.1109/CDC.1984.272401","url":null,"abstract":"Characterization for the class of decentralized feedbacks that is necessary for achieving arbitrary eigenvalues for large-scale dynamically interconnected system containing delay, is given. By expanding the system's state space, the delay disappears. Feedback gains are designed in the extended state space but implemented in the original state space. Local autonomy of subsystems-interconnections is emphasized in the proposed assignment procedure by coordinating local solutions.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"74 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":"115615795","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 control theorist's perspective on recent trends in manufacturing systems","authors":"S. Gershwin, R. Hildebrant, R. Suri, S. Mitter","doi":"10.1109/CDC.1984.272322","DOIUrl":"https://doi.org/10.1109/CDC.1984.272322","url":null,"abstract":"","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"27 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":"116648231","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 continuation method of solving semistate equations is applied to the example of a solid-state diode rectifier circuit. The example points out a number of features of the continuation method and particularly its ease of use for the solution of practical circuits via a PC.
{"title":"An example of the continuation method of solving semistate equations","authors":"B. Dziurla, R. Newcomb","doi":"10.1109/CDC.1984.272333","DOIUrl":"https://doi.org/10.1109/CDC.1984.272333","url":null,"abstract":"The continuation method of solving semistate equations is applied to the example of a solid-state diode rectifier circuit. The example points out a number of features of the continuation method and particularly its ease of use for the solution of practical circuits via a PC.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"2 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":"116883934","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":"Approximation of Hamilton-Jacobi-Bellman equation in deterministic control theory: An application to energy production systems","authors":"E. Rofman","doi":"10.1007/BFB0074785","DOIUrl":"https://doi.org/10.1007/BFB0074785","url":null,"abstract":"","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"30 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":"121057374","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, a concept of strong stability of an equilibrium point of an electric power system is introduced. It is shown that almost all stable equilibria of the standard transient stability model are strongly stable and that strong stability is a necessary and sufficient condition for the existence of a local energy-like Lyapunov function for all small perturbations of the nominal system. Such a Lyapunov function is explicitly constructed. A complete local analysis of the stability of power system equilibria in the presence of transfer conductances is given.
{"title":"Energy-like Lyapunov functions for power system stability analysis","authors":"H. Kwatny, L. Bahar, A. Pasrija","doi":"10.1109/CDC.1984.272292","DOIUrl":"https://doi.org/10.1109/CDC.1984.272292","url":null,"abstract":"In this paper, a concept of strong stability of an equilibrium point of an electric power system is introduced. It is shown that almost all stable equilibria of the standard transient stability model are strongly stable and that strong stability is a necessary and sufficient condition for the existence of a local energy-like Lyapunov function for all small perturbations of the nominal system. Such a Lyapunov function is explicitly constructed. A complete local analysis of the stability of power system equilibria in the presence of transfer conductances is given.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"70 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":"127158704","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 Linear Quadratic Adaptive Stochastic Optimal Control Problem a formula for the optimal control is obtained by applying variational methods to an equivalent problem obtained from the Girsanov transformation. The formula does depend on a quantity defined through a martingale representation of the conditional remaining cost.
{"title":"An exact formula for a linear quadratic adaptive stochastic optimal control law","authors":"R. Rishel","doi":"10.1109/CDC.1984.272274","DOIUrl":"https://doi.org/10.1109/CDC.1984.272274","url":null,"abstract":"For a Linear Quadratic Adaptive Stochastic Optimal Control Problem a formula for the optimal control is obtained by applying variational methods to an equivalent problem obtained from the Girsanov transformation. The formula does depend on a quantity defined through a martingale representation of the conditional remaining cost.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"1 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":"127165541","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 many cases linear multivariable models describing physical systems contain structured uncertainties expressed in terms of parameters. In this paper we suggest conditions that guarantee the existence of a parameter free observer for the system. Conditions are also given under which this robust observer can be subsequently used in a parameter free controller configuration for regulation.
{"title":"Robust observers and regulation for systems with parameters","authors":"T. Djaferis","doi":"10.1109/CDC.1984.272216","DOIUrl":"https://doi.org/10.1109/CDC.1984.272216","url":null,"abstract":"In many cases linear multivariable models describing physical systems contain structured uncertainties expressed in terms of parameters. In this paper we suggest conditions that guarantee the existence of a parameter free observer for the system. Conditions are also given under which this robust observer can be subsequently used in a parameter free controller configuration for regulation.","PeriodicalId":269680,"journal":{"name":"The 23rd IEEE Conference on Decision and Control","volume":"15 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":"127307289","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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