The authors extend the idea of iterative design of a globally stabilising adaptive controller introduced by I. Kanellakopoulos, P.V. Kokotovic and A.S. Morse (1990). By giving an interpretation of the scheme of Kanellakopoulos et al. in terms of the control Lyapunov function technique, the authors show that it can be applied to a slightly broader family of systems than the strict feedback systems. By noticing that this design involves implicitly at each step a matching condition which is known to hold not only for one integrator but also for two integrators, they propose an adaptive controller with, in general, half as many parameters to update. A significant aspect of these designs is that, together with an adaptive controller, they result in a corresponding control Lyapunov function.<>
{"title":"Iterative designs of adaptive controllers for systems with nonlinear integrators","authors":"Z. Jiang, L. Praly","doi":"10.1109/CDC.1991.261798","DOIUrl":"https://doi.org/10.1109/CDC.1991.261798","url":null,"abstract":"The authors extend the idea of iterative design of a globally stabilising adaptive controller introduced by I. Kanellakopoulos, P.V. Kokotovic and A.S. Morse (1990). By giving an interpretation of the scheme of Kanellakopoulos et al. in terms of the control Lyapunov function technique, the authors show that it can be applied to a slightly broader family of systems than the strict feedback systems. By noticing that this design involves implicitly at each step a matching condition which is known to hold not only for one integrator but also for two integrators, they propose an adaptive controller with, in general, half as many parameters to update. A significant aspect of these designs is that, together with an adaptive controller, they result in a corresponding control Lyapunov function.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129753595","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 authors consider the problem of valuation of bonds in a market with an imperfectly observable state variable. A natural way to transform the problem of valuation of bonds in an imperfect information market into an equivalent perfect information problem is to assume that bond prices are functionals of the density of the conditional probability distribution of the imperfectly observable state variable. Given that, the authors obtain a valuation equation for bonds through nonlinear filtering methods combined with standard arbitrage arguments. The authors show how the problem of valuation can be drastically simplified if it is considered in the equivalent risk neutral market. For a linear version of the model, the equivalent risk neutral market is used to obtain a closed for solution for bond prices. This version is used to emphasize the effect of the market risk exposure caused by the lack of information on the shape of the yield curve.<>
{"title":"The term structure of interest rates: the case of imperfect information","authors":"R. Apelfeld, A. Conze","doi":"10.1109/CDC.1991.261598","DOIUrl":"https://doi.org/10.1109/CDC.1991.261598","url":null,"abstract":"The authors consider the problem of valuation of bonds in a market with an imperfectly observable state variable. A natural way to transform the problem of valuation of bonds in an imperfect information market into an equivalent perfect information problem is to assume that bond prices are functionals of the density of the conditional probability distribution of the imperfectly observable state variable. Given that, the authors obtain a valuation equation for bonds through nonlinear filtering methods combined with standard arbitrage arguments. The authors show how the problem of valuation can be drastically simplified if it is considered in the equivalent risk neutral market. For a linear version of the model, the equivalent risk neutral market is used to obtain a closed for solution for bond prices. This version is used to emphasize the effect of the market risk exposure caused by the lack of information on the shape of the yield curve.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128310568","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}
Nonparametric multisensor systems for image segmentation and classification are presented for which no knowledge of the statistical behavior of the training data and the quantized gray levels from the sensors is required. The joint probability density function of the quantized gray levels is estimated at the fusion center following a density estimation approach which is based on a kernel function and the training data and is implemented via a probabilistic neutral network. The quantizers of the sensors are designed according to a signal-to-noise-type design criterion which is a function of the training data only and couples the data sequences of the various sensors.<>
{"title":"Nonparametric multisensor image segmentation and classification","authors":"Y.A. Chau, E. Geraniotis","doi":"10.1109/CDC.1991.261605","DOIUrl":"https://doi.org/10.1109/CDC.1991.261605","url":null,"abstract":"Nonparametric multisensor systems for image segmentation and classification are presented for which no knowledge of the statistical behavior of the training data and the quantized gray levels from the sensors is required. The joint probability density function of the quantized gray levels is estimated at the fusion center following a density estimation approach which is based on a kernel function and the training data and is implemented via a probabilistic neutral network. The quantizers of the sensors are designed according to a signal-to-noise-type design criterion which is a function of the training data only and couples the data sequences of the various sensors.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128417174","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 author gives conditions under which external stability, also known as input-output stability, implies internal stability, which is the exponential stability of the underlying semigroup. In particular, he gives a very general definition of stabilizability and detectability and shows that, when the system satisfies both of these, external stability is equivalent to internal stability. Therefore, in order to check internal stability, it is often sufficient to check the boundedness of the transfer function in the right half complex plane. The author applies this to a simple example, and also obtains a robustness result.<>
{"title":"Conditions for the equivalence of internal and external stability for distributed parameter systems","authors":"R. Rebarber","doi":"10.1109/CDC.1991.261098","DOIUrl":"https://doi.org/10.1109/CDC.1991.261098","url":null,"abstract":"The author gives conditions under which external stability, also known as input-output stability, implies internal stability, which is the exponential stability of the underlying semigroup. In particular, he gives a very general definition of stabilizability and detectability and shows that, when the system satisfies both of these, external stability is equivalent to internal stability. Therefore, in order to check internal stability, it is often sufficient to check the boundedness of the transfer function in the right half complex plane. The author applies this to a simple example, and also obtains a robustness result.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128532484","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 number of adaptive control algorithms for manipulating and mobile robots are considered from the viewpoint of the speed-gradient method. A general theorem on speed-gradient algorithms is presented, making it possible to investigate closed-loop robot dynamics under disturbances and nonstationarities.<>
{"title":"Robust speed-gradient adaptive control algorithms for manipulators and mobile robots","authors":"Alexander L. Fradkov, S. Gusev, I. A. Makarov","doi":"10.1109/CDC.1991.261122","DOIUrl":"https://doi.org/10.1109/CDC.1991.261122","url":null,"abstract":"A number of adaptive control algorithms for manipulating and mobile robots are considered from the viewpoint of the speed-gradient method. A general theorem on speed-gradient algorithms is presented, making it possible to investigate closed-loop robot dynamics under disturbances and nonstationarities.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128295233","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}
Developments in the eigenstructure assignment approach to robust fault detection are discussed. By suitable assignment of the eigenstructure of an observer, the residual signal is decoupled from disturbances. The main contribution of this work is the novel use of right eigenvector assignment of observers, which gives more freedom for achieving disturbance decoupling. It is shown that, when decoupling conditions are satisfied, the resulting deadbeat design is equivalent to the first-order parity space structure for residual generation. Two tutorial examples are presented to illustrate the disturbance decoupling property and the conditions under which left or right eigenvectors are assignable.<>
{"title":"Robust fault detection using eigenstructure assignment: a tutorial consideration and some new results","authors":"Ron J. Patton, Jie Chen","doi":"10.1109/CDC.1991.261546","DOIUrl":"https://doi.org/10.1109/CDC.1991.261546","url":null,"abstract":"Developments in the eigenstructure assignment approach to robust fault detection are discussed. By suitable assignment of the eigenstructure of an observer, the residual signal is decoupled from disturbances. The main contribution of this work is the novel use of right eigenvector assignment of observers, which gives more freedom for achieving disturbance decoupling. It is shown that, when decoupling conditions are satisfied, the resulting deadbeat design is equivalent to the first-order parity space structure for residual generation. Two tutorial examples are presented to illustrate the disturbance decoupling property and the conditions under which left or right eigenvectors are assignable.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129066912","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}
Linear multivariable systems are studied under the unity-feedback configuration. For plants with no coincidences of unstable poles and zeros, the authors prove a simplified condition for closed-loop stability. The simplification leads to a simple description of the set of all achievable input/output (I/O) maps and a simple parametrization of all controllers achieving the same I/O map. The results are used to study decoupling controller design for nonsquare unstable plants. They describe the set of all achievable decoupled I/O maps and prove a necessary and sufficient condition for the existence of stable decoupling controllers. Computationally simple algorithms for the design of decoupling controllers to achieve preassigned closed-loop poles and zeros are proposed.<>
{"title":"Stabilization, parametrization, and decoupling controller design for linear multivariable systems","authors":"Ching-An Lin, Tung-Fu Hsieh","doi":"10.1109/CDC.1991.261371","DOIUrl":"https://doi.org/10.1109/CDC.1991.261371","url":null,"abstract":"Linear multivariable systems are studied under the unity-feedback configuration. For plants with no coincidences of unstable poles and zeros, the authors prove a simplified condition for closed-loop stability. The simplification leads to a simple description of the set of all achievable input/output (I/O) maps and a simple parametrization of all controllers achieving the same I/O map. The results are used to study decoupling controller design for nonsquare unstable plants. They describe the set of all achievable decoupled I/O maps and prove a necessary and sufficient condition for the existence of stable decoupling controllers. Computationally simple algorithms for the design of decoupling controllers to achieve preassigned closed-loop poles and zeros are proposed.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130402938","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 foundations of a theory of model selection for continuous-time autoregressive systems is outlined. The authors define the predictive stochastic complexity for continuous-time systems and investigate its asymptotic properties. An almost sure asymptotic result is presented.<>
{"title":"Model selection in continuous time","authors":"L. Gerencsér, Z. Vágó","doi":"10.1109/CDC.1991.261466","DOIUrl":"https://doi.org/10.1109/CDC.1991.261466","url":null,"abstract":"The foundations of a theory of model selection for continuous-time autoregressive systems is outlined. The authors define the predictive stochastic complexity for continuous-time systems and investigate its asymptotic properties. An almost sure asymptotic result is presented.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126896788","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}
An algebraic theory on the stabilization of discrete- and continuous-time nonlinear systems by static state feedback is presented. In both cases, it is shown that the existence of stabilizing feedback controllers can be completely characterized through certain algebraic properties of the functions determining the state representation of the system. The theory includes necessary and sufficient conditions for the existence of stabilizing feedback functions, as well as methods for their computation. An inherent resemblance between the discrete-time and the continuous-time cases is elucidated.<>
{"title":"On the algebraization of nonlinear control","authors":"J. Hammer","doi":"10.1109/CDC.1991.261329","DOIUrl":"https://doi.org/10.1109/CDC.1991.261329","url":null,"abstract":"An algebraic theory on the stabilization of discrete- and continuous-time nonlinear systems by static state feedback is presented. In both cases, it is shown that the existence of stabilizing feedback controllers can be completely characterized through certain algebraic properties of the functions determining the state representation of the system. The theory includes necessary and sufficient conditions for the existence of stabilizing feedback functions, as well as methods for their computation. An inherent resemblance between the discrete-time and the continuous-time cases is elucidated.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129030427","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 method of extended linearization is proposed for the systematic solution of sliding mode controller design in DC-to-DC power converters of the boost and the buck-boost types. A nonlinear sliding surface with suitable properties is synthesized on the basis of the extension of a linear design carried out on the average incremental model of the converter. The obtained feedback strategies lead to asymptotically stable sliding modes with remarkable self-scheduling properties. Simulation examples are presented for illustrative purposes.<>
{"title":"An extended linearization approach to sliding mode control of DC-to-DC power supplies","authors":"M. Rios-Bolivar, H. Sira-Ramírez","doi":"10.1109/CDC.1991.261516","DOIUrl":"https://doi.org/10.1109/CDC.1991.261516","url":null,"abstract":"The method of extended linearization is proposed for the systematic solution of sliding mode controller design in DC-to-DC power converters of the boost and the buck-boost types. A nonlinear sliding surface with suitable properties is synthesized on the basis of the extension of a linear design carried out on the average incremental model of the converter. The obtained feedback strategies lead to asymptotically stable sliding modes with remarkable self-scheduling properties. Simulation examples are presented for illustrative purposes.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"605 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123329056","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}