Artículos de revistas
ℋ∞ And ℋ2 Guaranteed Costs Computation For Uncertain Linear Systems
Registro en:
International Journal Of Systems Science. , v. 28, n. 2, p. 183 - 188, 1997.
207721
2-s2.0-0031076687
Autor
Palhares R.M.
Takahashi R.H.C.
Peres P.L.D.
Institución
Resumen
This paper proposes an LMIs characterization of guaranteed ℋ∞ and ℋ2 norms costs for linear systems with convex bounded parameter uncertainties. Both continuous-time and discrete-time systems are addressed. 28 2 183 188 Boyd, S., Balakrishnan, V., A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its ℒ∞ norm (1990) System Control Letters, 15, pp. 1-7 Boyd, S., El-Ghaoui, L., Feron, E., Balakrishnan, V., (1994) Linear Matrix Inequalities in System and Control Theory, , Philadelphia, Pennsylvania, U.S.A.: SIAM Bruinsman, N.A., Steinbuch, M., A fast algorithm to compute the ℋ∞ norm of a transfer function matrix (1990) System Control Letters, 14, pp. 287-293 Chang, B.C., Li, X.P., Yeh, H.H., Banda, S.S., Computation of the ℋ∞ norm of a transfer function (1990) Proceedings of the American Control Conference, pp. 2578-2582. , San Diego, California, U.S.A Consiglio, A., How to control stock markets (1994) International Journal of Systems Science, 25, pp. 2245-2253 Doyle, J.C., Glover, K., Khargonekar, P.P., Francis, B.A., State-space solutions to standard ℋ2 and ℋ∞ control problems (1989) IEEE Transactions on Automatic Control, 34, pp. 831-847 Geromel, J.C., Peres, P.L.D., Souza, S.R., ℋ2 guaranteed cost control for uncertain continuous-time linear systems (1992) System Control Letters, 19, pp. 23-27 ℋ2 guaranteed cost control for uncertain discrete-time linear systems (1993) International Journal of Control, 57, pp. 853-864 ℋ∞ control of discrete-time uncertain systems (1994) IEEE Transactions on Automatic Control, 39, pp. 1072-1075 A convex approach to the mixed ℋ2/ℋ∞ control problem for discrete-time uncertain systems (1995) SIAM Journal on Control Optimization, 33, pp. 1816-1833 Hinrichsen, D., Kelb, B., Linnemann, A., An algorithm for the computation of the structured complex stability radius (1989) Automatica, 25, pp. 771-775 Kavranoglu, D., ℋ∞ norm approximation of systems by constant matrices and related results (1994) IEEE Transactions on Automatic Control, 39, pp. 1006-1009 Khargonekar, P.P., Rotea, M.A., Mixed ℋ2/ℋ∞ control: A convex optimization approach (1991) IEEE Transactions on Automatic Control, 36, pp. 824-837 Peres, P.L.D., Geromel, J.C., Souza, S.R., ℋ∞ guaranteed cost control for uncertain continuous time linear systems (1993) System Control Letters, 20, pp. 413-418 ℋ∞ control design by static output feedback (1994) IFAC Symposium on Robust Control Design, pp. 243-248. , Rio de Janeiro, Brazil Robel, G., On computing the infinity norm (1989) IEEE Transactions on Automatic Control, 34, pp. 882-884 Zhou, K., Khargonekar, P.P., Stoustrup, J., Niemann, H.H., Robust performance of systems with structured uncertainties in state space (1995) Automatica, 31, pp. 249-255