The authors present a maneuvering target model with the maneuver dynamics modeled as a jump process of Poisson type. The jump process represents the deterministic maneuver (or pilot commands) and is described by a stochastic differential equation driven by a Poisson process taking values from a set of discrete states. Assuming that the observations are governed by a linear difference equation driven by a white Gaussian noise sequence, the authors have developed a linear, recursive, unbiased minimum variance filter. The performance of the proposed filter is assessed through a numerical example via Monte Carlo simulations. It is observed from the numerical results that the proposed filter provides good estimates for rapidly maneuvering targets.<>
{"title":"Maneuvering target tracking using jump processes","authors":"S.S. Lim, M. Farooq","doi":"10.1109/CDC.1991.261779","DOIUrl":"https://doi.org/10.1109/CDC.1991.261779","url":null,"abstract":"The authors present a maneuvering target model with the maneuver dynamics modeled as a jump process of Poisson type. The jump process represents the deterministic maneuver (or pilot commands) and is described by a stochastic differential equation driven by a Poisson process taking values from a set of discrete states. Assuming that the observations are governed by a linear difference equation driven by a white Gaussian noise sequence, the authors have developed a linear, recursive, unbiased minimum variance filter. The performance of the proposed filter is assessed through a numerical example via Monte Carlo simulations. It is observed from the numerical results that the proposed filter provides good estimates for rapidly maneuvering targets.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"56 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":"127406292","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}
K.M. Sobel and F.J. Lallman (Journal of Guid., Contr., and Dyn., vol.12, no.3 pp.318-324, May-Jun, 1989) used eigenstructure assignment to design a yaw pointing/lateral translation controller for the linearized lateral dynamics of the flight propulsion control coupling aircraft. The authors propose an extension to the pseudo control strategy given by Sobel and Lallman which allows the designer to trade off the coupling in the lateral translational response with the minimum of the smaller singular value of (I+FG) by adjusting a two-dimensional parameter vector denoted by alpha . When alpha is the zero vector, then the new adjustable strategy reduces to the pseudo control shown by Sobel and Lallman. A new yaw pointing/lateral translation eigenstructure assignment controller is presented, which uses the new extension to the pseudo control strategy. The extension to the pseudo control strategy is shown to allow the designer freedom in trading off robustness and yaw pointing decoupling when using eigenstructure assignment.<>
K.M.索贝尔和F.J.拉曼(《指南杂志》)。， control . and Dyn.， vol.12, no。针对飞行推进控制耦合飞机的线性化横向动力学，采用特征结构分配方法设计了偏航指向/横向平移控制器。作者提出了Sobel和Lallman给出的伪控制策略的扩展，该策略允许设计者通过调整一个以alpha表示的二维参数向量来权衡横向平移响应中的耦合与较小的奇异值(I+FG)的最小值。当α为零矢量时，新的可调策略简化为Sobel和Lallman所示的伪控制。利用伪控制策略的新扩展，提出了一种新的偏航指向/横向平移特征结构分配控制器。伪控制策略的扩展表明，当使用特征结构分配时，允许设计者自由地权衡鲁棒性和偏航指向解耦。
{"title":"An extension to the pseudo control strategy with application to an eigenstructure assignment yaw pointing/lateral translation control law","authors":"K. Sobel, E. Shapiro","doi":"10.1109/CDC.1991.261357","DOIUrl":"https://doi.org/10.1109/CDC.1991.261357","url":null,"abstract":"K.M. Sobel and F.J. Lallman (Journal of Guid., Contr., and Dyn., vol.12, no.3 pp.318-324, May-Jun, 1989) used eigenstructure assignment to design a yaw pointing/lateral translation controller for the linearized lateral dynamics of the flight propulsion control coupling aircraft. The authors propose an extension to the pseudo control strategy given by Sobel and Lallman which allows the designer to trade off the coupling in the lateral translational response with the minimum of the smaller singular value of (I+FG) by adjusting a two-dimensional parameter vector denoted by alpha . When alpha is the zero vector, then the new adjustable strategy reduces to the pseudo control shown by Sobel and Lallman. A new yaw pointing/lateral translation eigenstructure assignment controller is presented, which uses the new extension to the pseudo control strategy. The extension to the pseudo control strategy is shown to allow the designer freedom in trading off robustness and yaw pointing decoupling when using eigenstructure assignment.<<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":"115327221","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 novel proposal for the solution of the asymptotic linearization of an uncertain nonlinear systems problem by means of the continuous control law is presented. The main feature of this approach consists of the use of a continuous first-order estimator and of control laws with piecewise continuous derivatives. This theory makes it possible to deal easily with the case of a nonlinear nonaffine control system and some frequently encountered nonmatching uncertainties.<>
{"title":"Approximate linearization of uncertain nonlinear systems by means of continuous control","authors":"G. Bartolini, P. Pydynowski","doi":"10.1109/CDC.1991.261522","DOIUrl":"https://doi.org/10.1109/CDC.1991.261522","url":null,"abstract":"A novel proposal for the solution of the asymptotic linearization of an uncertain nonlinear systems problem by means of the continuous control law is presented. The main feature of this approach consists of the use of a continuous first-order estimator and of control laws with piecewise continuous derivatives. This theory makes it possible to deal easily with the case of a nonlinear nonaffine control system and some frequently encountered nonmatching uncertainties.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"4 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":"115330998","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}
Three novel alternative approaches for state-space analysis of singular systems via orthogonal series are presented. All three approaches yield explicit expressions for the state vector coefficient matrix involving only multiplication of matrices of small dimensions. The combination of the advantages (computational, structural, etc.) of all three approaches appears to be superior to the advantages of all known techniques for the analysis of singular systems via orthogonal series. The first two approaches make use of the differentiation operational matrix. The third approach has the advantage that it does not use any system decomposition or state transformation.<>
{"title":"State space analysis of singular systems via orthogonal series","authors":"P. Paraskevopoulos, F. Koumboulis, A. Tsirikos","doi":"10.1109/CDC.1991.261875","DOIUrl":"https://doi.org/10.1109/CDC.1991.261875","url":null,"abstract":"Three novel alternative approaches for state-space analysis of singular systems via orthogonal series are presented. All three approaches yield explicit expressions for the state vector coefficient matrix involving only multiplication of matrices of small dimensions. The combination of the advantages (computational, structural, etc.) of all three approaches appears to be superior to the advantages of all known techniques for the analysis of singular systems via orthogonal series. The first two approaches make use of the differentiation operational matrix. The third approach has the advantage that it does not use any system decomposition or state transformation.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"64 3 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":"115882279","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 present a method of structural multivariable estimation. The principle of the method is projecting the measured vectors onto the range of an instrument matrix and testing the range of the projection. The proposed method uses the extended instrumental variable technique and the orthogonal transformation. Simulation results for comparison between several methods are presented.<>
{"title":"Structural multivariable estimation","authors":"H. N. Duong, I. Landau","doi":"10.1109/CDC.1991.261416","DOIUrl":"https://doi.org/10.1109/CDC.1991.261416","url":null,"abstract":"The authors present a method of structural multivariable estimation. The principle of the method is projecting the measured vectors onto the range of an instrument matrix and testing the range of the projection. The proposed method uses the extended instrumental variable technique and the orthogonal transformation. Simulation results for comparison between several methods are presented.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"43 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":"124539447","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 complete geometric theory is presented for the design of compensators in generalized systems. The key geometric tool is that of (C;E,A;B)-pairs. This concept involves the notion of (A, E, B)-invariant subspaces. The authors introduce the use of regular (C;E,A;B)-pairs that guarantees the closed-loop regularity and two coupling conditions, one for the domain and one for the codomain. They show the importance of (C;E,A;B)-pairs, which constitute open-loop information, in describing the possible closed-loop geometric structure under the influence of a dynamic compensator. A general compensator synthesis principle using these results for generalized systems is presented.<>
给出了广义系统补偿器设计的完整几何理论。关键的几何工具是(C;E,A;B)对。这个概念涉及到(A, E, B)不变子空间的概念。作者介绍了正则(C;E,A;B)对的使用，它保证了闭环的正则性和两个耦合条件，一个用于定义域，一个用于上域。它们显示了构成开环信息的(C;E,A;B)-对在描述动态补偿器影响下可能的闭环几何结构中的重要性。利用这些结果，提出了广义系统的一般补偿器综合原理。
{"title":"A general compensator synthesis approach for generalized systems using (C;E,A;B)-pairs","authors":"V. Syrmos, F. L. Lewis","doi":"10.1109/CDC.1991.261292","DOIUrl":"https://doi.org/10.1109/CDC.1991.261292","url":null,"abstract":"A complete geometric theory is presented for the design of compensators in generalized systems. The key geometric tool is that of (C;E,A;B)-pairs. This concept involves the notion of (A, E, B)-invariant subspaces. The authors introduce the use of regular (C;E,A;B)-pairs that guarantees the closed-loop regularity and two coupling conditions, one for the domain and one for the codomain. They show the importance of (C;E,A;B)-pairs, which constitute open-loop information, in describing the possible closed-loop geometric structure under the influence of a dynamic compensator. A general compensator synthesis principle using these results for generalized systems is presented.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"25 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":"114620394","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 aeroelastic system whose state space model described by a singular integro-differential equation is considered. The focus is on the so-called indicial problem where the initial conditions are zero. A finite-dimensional controller stabilizing this infinite-dimensional system is designed. The problem of reducing the closed-loop system sensitivity to disturbances is also discussed. Frequency-domain H/sup infinity / design techniques are used to achieve the control objectives.<>
{"title":"Robust control of an aeroelastic system modeled by a singular integrodifferential equation","authors":"H. Ozbay, J. Turi","doi":"10.1109/CDC.1991.261840","DOIUrl":"https://doi.org/10.1109/CDC.1991.261840","url":null,"abstract":"An aeroelastic system whose state space model described by a singular integro-differential equation is considered. The focus is on the so-called indicial problem where the initial conditions are zero. A finite-dimensional controller stabilizing this infinite-dimensional system is designed. The problem of reducing the closed-loop system sensitivity to disturbances is also discussed. Frequency-domain H/sup infinity / design techniques are used to achieve the control objectives.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"7 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":"114707536","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 robust output feedback control which globally stabilizes a class of SISO minimum-phase nonlinear systems with known and constant relative degree containing a vector of unknown parameters is developed. The constant parameter vector is not restricted to enter linearly in the state equations but it is assumed to belong to a known compact set and an imprecise knowledge of the nonlinearities (e.g., lookup tables) is allowed. The class of nonlinear systems is determined by geometric conditions; an additional assumption, which generalizes the knowledge of the sign of high-frequency gain for linear systems, is also required. The nonlinearities are restricted to depend, in suitable coordinates, on the output only: no growth conditions, such as sector or Lipschitz, are required. The robust output feedback control stabilizes the system for every value of the parameter vector in a known compact set. The order of the compensator is equal to the relative degree minus one.<>
{"title":"Robust output feedback stabilization of single input single output nonlinear systems","authors":"R. Marino, P. Tomei","doi":"10.1109/CDC.1991.261803","DOIUrl":"https://doi.org/10.1109/CDC.1991.261803","url":null,"abstract":"A robust output feedback control which globally stabilizes a class of SISO minimum-phase nonlinear systems with known and constant relative degree containing a vector of unknown parameters is developed. The constant parameter vector is not restricted to enter linearly in the state equations but it is assumed to belong to a known compact set and an imprecise knowledge of the nonlinearities (e.g., lookup tables) is allowed. The class of nonlinear systems is determined by geometric conditions; an additional assumption, which generalizes the knowledge of the sign of high-frequency gain for linear systems, is also required. The nonlinearities are restricted to depend, in suitable coordinates, on the output only: no growth conditions, such as sector or Lipschitz, are required. The robust output feedback control stabilizes the system for every value of the parameter vector in a known compact set. The order of the compensator is equal to the relative degree minus one.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"415 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":"117302624","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 a class of scalar-input uncertain linear systems which contain a single structured uncertain term. The main result is that the matching condition is necessary to achieve quadratic stability with an arbitrary degree of stability. The results are illustrated with a simple example.<>
{"title":"On the necessity of the matching condition in robust stabilization","authors":"S. Swei, M. Corless","doi":"10.1109/CDC.1991.261823","DOIUrl":"https://doi.org/10.1109/CDC.1991.261823","url":null,"abstract":"The authors consider a class of scalar-input uncertain linear systems which contain a single structured uncertain term. The main result is that the matching condition is necessary to achieve quadratic stability with an arbitrary degree of stability. The results are illustrated with a simple example.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"26 18","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1991-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120859205","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 present a tutorial overview of linear fractional transformations (LFTs) and the role of the structured singular value, mu , and linear matrix inequalities (LMIs) in solving LFT problems. The authors first introduce the notation for LFTs and briefly discuss some of their properties. They then describe mu and its connections with LFTs. They focus on two standard notions of robust stability and performance, mu stability and performance and Q stability and performance, and their relationship is discussed. Comparisons with the L/sub 1/ theory of robust performance with structured uncertainty are considered.<>
{"title":"Review of LFTs, LMIs, and mu","authors":"J. Doyle, A. Packard, Kemin Zhou","doi":"10.1109/CDC.1991.261572","DOIUrl":"https://doi.org/10.1109/CDC.1991.261572","url":null,"abstract":"The authors present a tutorial overview of linear fractional transformations (LFTs) and the role of the structured singular value, mu , and linear matrix inequalities (LMIs) in solving LFT problems. The authors first introduce the notation for LFTs and briefly discuss some of their properties. They then describe mu and its connections with LFTs. They focus on two standard notions of robust stability and performance, mu stability and performance and Q stability and performance, and their relationship is discussed. Comparisons with the L/sub 1/ theory of robust performance with structured uncertainty are considered.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"148 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":"116004845","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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