Enhanced Mixed L>inf<2>/inf<- L>inf<∞>/inf</H>inf<∞>/inf<Filtering for Continuous-time Uncertain Systems

Abstract

New LMI criteria for L/sub 2/ - L/sub /spl infin// and H/sub /spl infin// performances of continuous-time uncertain systems are proposed, which keep the Lyapunov matrices out of any product with the system matrices. When used in robust mixed L/sub 2/ - L/sub /spl infin// and filtering, the design conservatism is reduced since the restriction is removed that both L/sub 2/ - L/sub /spl infin// and H/sub /spl infin// performances are enforced by a single closed-loop Lyapunov matrix.