{"title":"On Markov's theorem: it's like Kharitonov's but twice as nice","authors":"C. Hollot","doi":"10.1109/CDC.1988.194365","DOIUrl":"https://doi.org/10.1109/CDC.1988.194365","url":null,"abstract":"The authors discuss Markov's stability result and examine its implications in light of Kharitonov's stability theorem. In particular they determine the largest stability box in the space of Markov parameters and compare it with its Kharitonov counterpart in polynomial-coefficient space. An effort is made to motivate applications of Markov's theorem in the robustness area.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127175625","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 stabilizability of linear plants under time varying and nonlinear perturbations","authors":"M. Verma","doi":"10.1109/CDC.1988.194631","DOIUrl":"https://doi.org/10.1109/CDC.1988.194631","url":null,"abstract":"The problem of robust stability of linear feedback systems in the presence of time varying and nonlinear perturbations is considered. The basis of the characterizations of robust stability consists of linear fractional transformations which relate possibly unstable and nonlinear perturbations and perturbed plants to stable systems. For nominal finite-dimensional linear time invariant plants subject to a family of linear time varying perturbations the author obtains such a characterization and derives conclusions about robust stability.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"55 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127219796","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":"Identification of composite membranes for extremal eigenvalue problems","authors":"S. Cox, J. McLaughlin","doi":"10.1109/CDC.1988.194609","DOIUrl":"https://doi.org/10.1109/CDC.1988.194609","url":null,"abstract":"Given an open bounded connected set Omega contained in/implied by R/sup N/ and a prescribed amount of two homogeneous materials of different density, for small k the authors characterize the distribution of the two materials in Omega that extremizes the kth eigenvalue of the resulting clamped membrane. It is shown that these extremizers vary continuously with the proportion of the two constituents. The characterization of the extremizers in terms of level sets of associated eigenfunctions provides geometric information on the respective interfaces. Each of these results generalizes to N dimensions the one-dimensional work of M.G. Krein (1955). In addition to providing a first attack on the analytical study of the vibration of composites, this work has relevance in those fields of medicine and biology where composite membranes abound.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127264158","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":"Absolute stability analysis of multivariable regulators through the Popov criterion","authors":"J. D. da Cruz, J. Geromel","doi":"10.1109/CDC.1988.194721","DOIUrl":"https://doi.org/10.1109/CDC.1988.194721","url":null,"abstract":"The multivariable Popov criterion is used to derive the sectors of absolute stability for two classes of regulators in both the continuous and discrete-time cases. The first class corresponds to the well known linear quadratic regulators; in the second one a feedback control law depending on the solution of a Lyapunov equation is considered. Relatively simple reasoning shows that the absolute stability analysis can be accomplished in the frequency domain. To carry this out, necessary conditions for a given matrix transfer function to represent a specific regulator are established. It is shown that the necessary conditions play the same role in the absolute stability context as the Kalman frequency-domain equality does with respect to stability margins.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127353861","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 modalized observer with flight control application","authors":"K. Sobel, S. Banda, E. Shapiro","doi":"10.1109/CDC.1988.194469","DOIUrl":"https://doi.org/10.1109/CDC.1988.194469","url":null,"abstract":"The authors propose a method for designing modalized observers which achieves both small eigenvalue sensitivity and attenuation of the estimation error caused by an initial condition mismatch. The design approach is based on minimizing a cost function which depends on the norm of the observer modal matrix, its condition number, and directional information about the initial condition mismatch. The design method is compared with a previous approach to show its advantages.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127369597","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 stability for time-delay systems: the edge theorem and graphical tests","authors":"M. Fu, A. Olbrot, M. Polis","doi":"10.1109/CDC.1988.194276","DOIUrl":"https://doi.org/10.1109/CDC.1988.194276","url":null,"abstract":"The authors consider the D-stability problem for a class of uncertain delay systems where the characteristic equations involve a polytope of quasipolynomials. Their first result shows that under a mild assumption on the set D, a polytope of quasipolynomials is D-stable if and only if the edges of the polytope are D-stable. This extends the edge theorem developed by A.C. Bartlett, et. al. (1987) and M. Fu and B.R. Barmish (1988) for the D-stability of a polytope of polynomials. The second result provides a polar-plot-based graphical test for checking the D-stability of a polytope of quasipolynomials. In a special case in which the vertical quasipolynomials are in a factored form, the graphical test is further simplified by a special mapping. As shown in an example, the graphical tests provided here are quite useful in applications, making it possible to handle examples with many uncertain parameters easily.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125285991","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":"Identification of flexible structures using an adaptive order-recursive method","authors":"F. Jabbari, J. Gibson","doi":"10.1109/CDC.1988.194612","DOIUrl":"https://doi.org/10.1109/CDC.1988.194612","url":null,"abstract":"The authors present adaptive parameter identification results for a complex flexible structure with many closely packed natural frequencies. Least-squares lattice filters are used to estimate the number of excited modes, natural frequencies and damping ratios from input/output data. One-step-ahead output prediction also is generated by the lattice filters.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115547351","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 infinite dimensional systems","authors":"G. Gu, P. Khargonekar, E.B. Lee","doi":"10.1109/CDC.1988.194461","DOIUrl":"https://doi.org/10.1109/CDC.1988.194461","url":null,"abstract":"The approximation of infinite-dimensional system models was studied using a Fourier transform technique. Convergence conditions were established and a frequency-response error bound in terms of the H/sup infinity / norm derived. The approximate model can be directly computed using an FFT-type algorithm. Examples are given to illustrate the technique.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115572006","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":"Research on system zeros: a survey","authors":"C. Schrader, M. Sain","doi":"10.1109/CDC.1988.194439","DOIUrl":"https://doi.org/10.1109/CDC.1988.194439","url":null,"abstract":"Notable publications on zeros of multivariable systems are reviewed. Particular attention is paid to relationships between definitions of such zeros and their theoretical development. Transmission, invariant, system module, infinite, and finite zeros are addressed, the latter subdivided into a hierarchical structure with respect to information considered in the definition process.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116113280","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":"Singular values and vectors of a class of Hankel operators","authors":"M.C. Smith","doi":"10.1109/CDC.1988.194548","DOIUrl":"https://doi.org/10.1109/CDC.1988.194548","url":null,"abstract":"The author considers the problem of determining the singular values and vectors of the class of Hankel operators whose symbol can be written in the form phi *W, where phi is inner and W is rational. He obtains a new and simplified proof of the fact that the zeros of a certain determinantal expression coincide with the Hankel singular values. The author also shows how this expression can be used to generate the singular vectors.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116830671","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}