Resumo

TROFINO, Alexandre; COUTINHO, Daniel F.  e  BARBOSA, Karina A.. Improved H₂ and H_¥ conditions for robust analysis and control synthesis of linear systems. Sba Controle & Automação [online]. 2005, vol.16, n.4, pp. 427-434. ISSN 0103-1759.  http://dx.doi.org/10.1590/S0103-17592005000400004.

This paper proposes improved H-2 and H-infinity conditions for continuous-time linear systems with polytopic uncertainties based on a recent result for the discrete-time case. Basically, the performance conditions are built on an augmented-space with additional multipliers resulting in a decoupling between the Lyapunov and system matrices. This nice property is used to develop new conditions for the robust stability, performance analysis, and control synthesis of linear systems using parameter dependent Lyapunov functions in a numerical tractable way.

Palavras-chave : Robustness; H₂/H_¥ norms; convex optimization.