Artículos de revistas
Quadratic Stabilizability Of Linear Uncertain Systems In Convex-bounded Domains
Registro en:
Automatica. , v. 29, n. 2, p. 491 - 493, 1993.
51098
10.1016/0005-1098(93)90144-I
2-s2.0-0027558629
Autor
Peres P.L.D.
Geromel J.C.
Bernussou J.
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) In this paper, a relationship is derived between quadratic stabilizability of linear systems with convex bounded uncertainty domains and the existence of a positive definite solution to a well defined set of Riccati equations. Both continuous and discrete-time models are investigated. For continuous-time systems, the results reported here are compared with the ones provided in the literature, where norm-bounded uncertainty is considered. A numerical example is included. © 1993. 29 2 491 493 CAPES,Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq),Fundacao Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro (FAPERJ) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Barmish, Stabilization of uncertain systems via linear control (1983) IEEE Transactions on Automatic Control, 28 AC, pp. 848-850 Boyd, Yang, Structured and simultaneously Lyapunov functions for system stability problems (1989) Int. J. Control, 49, pp. 2215-2240 Geromel, da Cruz, On the robustness of optimal regulators for nonlinear discrete-time systems (1987) IEEE Transactions on Automatic Control, 32 AC, pp. 703-710 Geromel, Peres, Bernussou, On a convex parameter space method for linear control design of uncertain systems (1991) SIAM J. Control and Optimization, 29, pp. 381-402 Meilakhs, Design of stable control systems subject to parametric perturbation (1978) Automatika i Telemekhanika, 10, pp. 5-16 Petersen, Hollot, A Riccati equation approach to the stabilization of uncertain linear systems (1986) Automatica, 22, pp. 397-411 Petersen, A stabilization algorithm for a class of uncertain linear systems (1988) Systems & Control Letters, 8, pp. 351-357 Safonov, Athans, Gain and phase margins for multiloop LQG regulators (1987) IEEE Transactions on Automatic Control, 22 AC, pp. 173-179 Zhou, Khargonekar, Robust stabilization of linear systems with norm-bounded time-varying uncertainty (1988) Systems and Control Letters, 10, pp. 17-20