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The finite inclusions theorem: a tool for robust design
Kybernetika, Tome 34 (1998) no. 6, pp. 625-634 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Methods for robust controller design, are an invaluable tool in the hands of the control engineer. Several methodologies been developed over the years and have been successfully applied for the solution of specific robust design problems. One of these methods, is based on the Finite Inclusions Theorem (FIT) and exploits properties of polynomials. This has led to the development of FIT-based algorithms for robust stabilization, robust asymptotic tracking and robust noise attenuation design. In this paper, we consider SISO systems with parameter uncertainty and show how FIT can be used to develop algorithms for robust phase margin design.
Methods for robust controller design, are an invaluable tool in the hands of the control engineer. Several methodologies been developed over the years and have been successfully applied for the solution of specific robust design problems. One of these methods, is based on the Finite Inclusions Theorem (FIT) and exploits properties of polynomials. This has led to the development of FIT-based algorithms for robust stabilization, robust asymptotic tracking and robust noise attenuation design. In this paper, we consider SISO systems with parameter uncertainty and show how FIT can be used to develop algorithms for robust phase margin design.
Classification : 93B35, 93B51, 93D09, 93D21
Keywords: robust controller design; finite inclusions theorem (FIT); FIT-based algorithms; robust asymptotic tracking; robust stabilization; robust asymptotic tracking; robust noise attenuation 
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     author = {Djaferis, Theodore E.},
     title = {The finite inclusions theorem: a tool for robust design},
     journal = {Kybernetika},
     pages = {625--634},
     year = {1998},
     volume = {34},
     number = {6},
     mrnumber = {1695367},
     zbl = {1274.93215},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1998_34_6_a2/}
}
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Djaferis, Theodore E. The finite inclusions theorem: a tool for robust design. Kybernetika, Tome 34 (1998) no. 6, pp. 625-634. http://geodesic.mathdoc.fr/item/KYB_1998_34_6_a2/

[1] Djaferis T. E.: Robust Control Design: A Polynomial Approach. Kluwer Academic Publishers, Boston 1995

[2] Doyle J. C., Francis B. A., Tannenbaum A. L.: Feedback Control Theory. MacMillan, New York 1992

[3] Khargonekar P. P., Tannenbaum A.: Non–Euclidean metrics and the robust stabilization of systems with parameter uncertainty. IEEE Trans. Automat. Control 30 (1985), 10, 1005–1013 | DOI | MR | Zbl

[4] Ogata K.: Modern Control Engineering. Third edition. Prentice Hall, Englewood Cliffs, N. J. 1997 | Zbl