{"title":"Interrelations between continuous and discrete lattice filter structures","authors":"A. Feuer, S. Weller, G. Goodwin","doi":"10.1109/CDC.1991.261393","DOIUrl":"https://doi.org/10.1109/CDC.1991.261393","url":null,"abstract":"The authors explore the connection between continuous and discrete lattice filtering algorithms. Lattice filters become ill-defined when applied to continuous-time processes sampled at very fast rates. It is shown that these problems are resolved if the standard formulation of lattice filter structures, based on the forward shift operator, is replaced by an alternative formulation based on the incremental difference (or delta) operator. The lattice algorithms corresponding to the continuous and discrete cases are presented in a unified framework, thereby revealing their common structure. It is shown that when the discrete problem is obtained by sampling an underlying continuous time system, then the lattice filter corresponding to the discrete case converges in a well defined sense to the solution of the underlying continuous problem as the sampling period approaches zero.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"32 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":"123952998","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 note on the degeneration of systems under pencil equivalence","authors":"D. Hinrichsen, J. O'Halloran","doi":"10.1109/CDC.1991.261635","DOIUrl":"https://doi.org/10.1109/CDC.1991.261635","url":null,"abstract":"The authors continue their study of orbit closure problems for generalized state space systems initiated previously (see Proc. 29th IEEE Conf. on Dec. and Cont., p.55-60, 1990). A theorem concerning the degeneration of these systems under pencil equivalence is reported, and some system-theoretic consequences are discussed.<<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":"125775619","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":"Application of the grey-box approach to parameter estimation in physicochemical models","authors":"H. Tulleken","doi":"10.1109/CDC.1991.261551","DOIUrl":"https://doi.org/10.1109/CDC.1991.261551","url":null,"abstract":"It is demonstrated that the grey-box concept can be applied to certain rigorous models. The principle idea is to simplify the model structure (by means of time discretization and, if necessary, transformation) such that it takes on a form familiar in the black-box approach. In parallel, relevant process characteristics are highlighted and transformed to provide grey-box model constraints. As a result, the parameter estimation becomes more transparent and can be obtained at considerably lower computational costs than is possible with standard physical parameter estimation. In addition, more general stochastic model components (i.e. system noise) can be handled with relative ease. A drawback is the nontrivial formulation of a convex hull of the admissible parameter region associated with the (discrete-time) grey-box model. The merits and pitfalls of this approach are demonstrated with kinetic parameter estimation in a continuous and a batch reactor model.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"67 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":"125872190","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":"On the partition of unstable standard polytopes of polynomials","authors":"L.R. Pujara, N. Shanbhag","doi":"10.1109/CDC.1991.261110","DOIUrl":"https://doi.org/10.1109/CDC.1991.261110","url":null,"abstract":"The set of all polynomials vanishing on the imaginary axis in a polytope of polynomials is determined. This constitutes a significant step towards finding the boundary of stability in a polytope.<<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":"125984183","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":"On the design of reliable digital multivariable regulators under structure constraints","authors":"N. Schiavoni, A. Locatelli","doi":"10.1109/CDC.1991.261048","DOIUrl":"https://doi.org/10.1109/CDC.1991.261048","url":null,"abstract":"The problem of asymptotically zeroing the error of a control system subject to ramp-like exogenous signals is considered under the additional requirement that the regulator be decentralized and that such a property hold to the maximum possible extent also in the presence of sensor/actuator failures. Sufficient conditions are given for the existence of decentralized regulators which guarantee the asymptotic zeroing of the errors even in the presence of loop failures. The proposed approach is expedient in dealing with the decentralized regulation of a nonlinear plant modeled as a bunch of linear equations.<<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":"128716519","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":"Robust control of nonlinear uncertain systems: a feedback linearization approach","authors":"J. S. Chen, Ye-Hwa Chen","doi":"10.1109/CDC.1991.261805","DOIUrl":"https://doi.org/10.1109/CDC.1991.261805","url":null,"abstract":"The problem of stabilization of a class of nonlinear systems with time-varying uncertain parameters is considered. The uncertainty is unknown but lies within a prescribed set. The nominal system is assumed to be feedback-equivalent to a controllable-like canonical form. A Lyapunov function based robust controller is incorporated with a feedback linearization technique to guarantee practical stability.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"30 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":"128156490","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":"Passive damping technology using viscoelastics","authors":"C. D. Johnson","doi":"10.1109/CDC.1991.1334804","DOIUrl":"https://doi.org/10.1109/CDC.1991.1334804","url":null,"abstract":"This paper presents a brief review of tech niques for designed-in passive damping for space structures. Although the main topic of the paper is passive damping using viscoelastic materials, other methods are discussed and compared. The testing and characterization of viscoelastic mate rials and design methods for passive damping are discussed. An exam ple showing the benefits of a passive damping treatment for an actual. space structure is presented.","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"137 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":"128669750","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":"mu analysis with real parametric uncertainty","authors":"P. M. Young, M. Newlin, John Doyle","doi":"10.1109/CDC.1991.261579","DOIUrl":"https://doi.org/10.1109/CDC.1991.261579","url":null,"abstract":"The authors give a broad overview, from a LFT (linear fractional transformation)/ mu perspective, of some of the theoretical and practical issues associated with robustness in the presence of real parametric uncertainty, with a focus on computation. Recent results on the properties of mu in the mixed case are reviewed, including issues of NP completeness, continuity, computation of bounds, the equivalence of mu and its bounds, and some direct comparisons with Kharitonov-type analysis methods. In addition, some advances in the computational aspects of the problem, including a branch-and-bound algorithm, are briefly presented together with the mixed mu problem may have inherently combinatoric worst-case behavior, practical algorithms with modes computational requirements can be developed for problems of medium size (<100 parameters) that are of engineering interest.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"18 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":"128727170","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":"Balancing free square-root algorithm for computing singular perturbation approximations","authors":"A. Varga","doi":"10.1109/CDC.1991.261486","DOIUrl":"https://doi.org/10.1109/CDC.1991.261486","url":null,"abstract":"The author proposes a novel algorithm with enhanced numerical robustness for computing singular perturbation approximations of linear, continuous or discrete systems. This algorithm circumvents the computation of possibly ill-conditioned balancing transformations. Instead, well-conditioned projection matrices are determined for computing state-space representations suitable for applying the singular perturbation formulas. The projection matrices are computed using the Cholesky (square-root) factors of the gramians. The proposed algorithm is intended for efficient computer implementation. It can handle both minimal and nonminimal systems.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"30 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":"128738704","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":"Discrete time piecewise linear filtering with small observation noise","authors":"P. Milheiro de Oliveira, M. Roubaud","doi":"10.1109/CDC.1991.261856","DOIUrl":"https://doi.org/10.1109/CDC.1991.261856","url":null,"abstract":"The authors describe a procedure that gives an approximate solution to a piecewise linear discrete time filtering problem with small observation noise. They present and compare different tests which make it possible to compute the intervals of linearity of the observation function, under a 'detectability assumption' based on the drift. Over such an interval, one can then approximate the optimal filter by the corresponding Kalman-Bucy filter.<<ETX>>","PeriodicalId":344553,"journal":{"name":"[1991] Proceedings of the 30th IEEE Conference on Decision and Control","volume":"24 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":"127071510","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}