The Decoupling of Multivariable Systems by State Feedback

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Previous article Next article The Decoupling of Multivariable Systems by State FeedbackElmer G. GilbertElmer G. Gilberthttps://doi.org/10.1137/0307004PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] B. S. Morgan, Jr., The synthesis of linear multivariable systems by state variable feedback, Proc. 1964 JACC, Stanford, California, 468–472 Google Scholar[2] Z. V. Rekasius, Decoupling of multivariable systems by means of state feedback, Proc. Third Alierton Conference on Circuit and System Theory, Monticello, Illinois, 1965, 439–448 Google Scholar[3] P. L. Falb and , W. A. Wolovich, On the decoupling of multivariable systems, Proc. 1967 JACC, Philadelphia, Pennsylvania, 791–796 Google Scholar[4] P. L. Falb and , W. A. Wolovich, Decoupling in the design of multivariable control systems, IEEE Trans. Automatic Control, AC-12 (1967), 651–659 10.1109/TAC.1967.1098737 CrossrefISIGoogle Scholar[5] F. R. Gantmacher, The theory of matrices. Vol. 1, Translated by K. A. Hirsch, Chelsea Publishing Co., New York, 1959Vol. 1, pp. x+374 MR0107649 Google Scholar[6] R. E. Kalman, Canonical structure of linear dynamical systems, Proc. Nat. Acad. Sci. U.S.A., 48 (1962), 596–600 MR0138865 0249.34005 CrossrefISIGoogle Scholar[7] L. A. Zadeh and , C. A. Desoer, Linear System Theory, McGraw-Hill, New York, 1963 Google Scholar[8] B. S. Morgan, Jr., The Synthesis of Single Variable Systems by State Variable Feedback, Proc. First Allerton Conference on Circuit and System Theory, University of Illinois, 1963, 509–520 Google Scholar[9] B. S. Morgan, Jr., Sensitivity analysis and synthesis of multivariable systems, IEEE Trans. Automatic Control, AC-11 (1966), 506–512 10.1109/TAC.1966.1098385 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails When Do Nonlinear Filters Achieve Maximal Accuracy?18 December 2009 | SIAM Journal on Control and Optimization, Vol. 48, No. 5AbstractPDF (258 KB)State Feedback Decoupling Problem with Stability for $(A,B,C,D)$ Quadruples20 February 2009 | SIAM Journal on Matrix Analysis and Applications, Vol. 30, No. 4AbstractPDF (290 KB)Nonlinear Noninteraction with Stability by Dynamic State Feedback14 July 2006 | SIAM Journal on Control and Optimization, Vol. 29, No. 3AbstractPDF (1336 KB)Global Stabilization of Partially Linear Composite Systems14 July 2006 | SIAM Journal on Control and Optimization, Vol. 28, No. 6AbstractPDF (1465 KB)The Standard Decomposed System and Noninteracting Feedback Control of Nonlinear Systems1 August 2006 | SIAM Journal on Control and Optimization, Vol. 26, No. 5AbstractPDF (1640 KB)Causal Factorization and Linear Feedback17 February 2012 | SIAM Journal on Control and Optimization, Vol. 19, No. 4AbstractPDF (3098 KB)Canonical Forms of Linear Multivariable Systems18 July 2006 | SIAM Journal on Control and Optimization, Vol. 14, No. 2AbstractPDF (1088 KB)Structural Invariants of Linear Multivariable Systems18 July 2006 | SIAM Journal on Control, Vol. 11, No. 3AbstractPDF (1383 KB)Input–Output Structure of Linear Systems with Application to the Decoupling Problem18 July 2006 | SIAM Journal on Control, Vol. 9, No. 2AbstractPDF (3055 KB)Decoupling and Pole Assignment by Dynamic Compensation18 July 2006 | SIAM Journal on Control, Vol. 8, No. 3AbstractPDF (1543 KB)Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach18 July 2006 | SIAM Journal on Control, Vol. 8, No. 1AbstractPDF (1202 KB)On the Structure of Multivariable Systems18 July 2006 | SIAM Journal on Control, Vol. 7, No. 3AbstractPDF (1312 KB) Volume 7, Issue 1| 1969SIAM Journal on Control History Submitted:08 November 1967Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0307004Article page range:pp. 50-63ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics