Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
Some Kharitonov-like robust Hurwitz stability criteria are established for a class of complex polynomial families with nonlinearly correlated perturbations. These results are extended to the polynomial matrix case and non-interval D-stability case. Applications of these results in testing of robust strict positive realness of real and complex interval transfer function families are also presented.
Czasopismo
Rocznik
Tom
Strony
71--83
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
- Intelligent Control Laboratory Center for Systems and Control Department of Mechanics and Engineering Science Peking University Beijing 100871, China
Bibliografia
- Ackermann, J. (1991) Uncertainty structures and robust stability analysis. Proc. of European Control Conference 2318-2327.
- Ackermann, J. (1992) Does it suffice to check a subset of multilinear parameters in robustness analysis? IEEE Trans. on Automatic Control 37,487-488.
- Barmish, B.R., Hollot, C.V., Kraus, F.J. and Tempo, R. (1992) Extreme point results for robust stabilization of intervalplants with first order compensators. IEEE Trans. on Automatic Control 37, 707-714.
- Bartlett, A.C., Hollot, C.V. and Huang, L. (1988) Root locations ofan entire polytope of polynomials: It suffices to check the edges.Mathematics of Control, Signals, and Systems 1, 61-71.
- Chapellat, H., Dahleh, M. and Bhattacharyya, S.P. (1991) On robust nonlinear stability of interval control systems. IEEE Trans. on Automatic Control 36, 59-67.
- Dasgupta, S. (1988 ) Kharitonov’s theorem revisited. Systems and Control Letters 11 (4), 381-384.
- Fu, M. and Barmish, B.R. (1989) Polytope of polynomials with zeros in aprescribed set. IEEE Trans. on Automatic Control 34, 544-546.
- Hollot, C.V. and Tempo, R. (1994) On the Nyquist envelope of an interva lplant family. IEEE Trans. on Automatic Control 39, 391-396.
- Kharitonov, V.L. (1978) Asymptotic stability of an equilibrium positionof a family of systems of linear differential equations. Differentsial’nye Uravneniya 14, 2086-2088.
- Kharitonov, V.L. (1979) The Routh-Hurwitz problem for families of polynomials and quasipolynomials. Izvestiya Akademii Nauk Kazakhskoi SSR, Seria fizikomatematicheskaia 26, 69-79.
- Rantzer, A. (1992) Stability conditions for polytopes of polynomials. IEEE Trans. on Automatic Control 37, 79-89.
- Wang, L. (1995) Robust strong stabilizability of interval plants: It suffices tocheck two vertices.Systems and Control Letters 26 (3), 133-136.
- Wang, L. (2003) Kharitonov-like theorems for robust performance of intervalsystems. Journal of Mathematical Analysis and Applications 279 (2),430-441.
- Wang, L. and Huang, L. (1991) Finite verification of strict positive realness of interval rational functions. Chinese Science Bulletin 36, 262-264.
- Wang, L. and Huang, L. (1994) Extreme point results for strict positiv erealness of transfer function families. Systems Science and Mathematical Sciences 7, 371-378.
- Wang, L. and Yu, W. (2001) On Hurwitz stable polynomials and strictly positive real transfer functions. IEEE Trans. on Circuits and Systems 48 (1), 127-128.
- Wang, Z., Wang, L. and Yu, W. (2003) Improved results on robust stability of multivariable interval control systems. Proc. of American Control Conference, Denver, CO, USA, June.
- Yu, W. and Wang, L. (2001) Anderson’s claim on fourth-order SPR synthesis is true. IEEE Trans. on Circuits and Systems 48 (4), 506-509.
- Yu, W., Wang, L. and Ackermann, J. (2003) Solution to the general strictly positive real synthesis problem for polynomial segments. Proc. of European Control Conference, Cambridge, UK, September.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0007-0042