In this paper we study the problem of tracking a reference signal from the H 1 point of view. As opposed to general H 1 problems, where only suboptimal solutions are obtained, we show that for both the full information and measurement feedback tracking problems the H 1-optimal solutions can be explicitly found. The results also indicate an interesting dichotomy between minimum phase and non-min...

This paper presents a trajectory tracking scheme for class of underactuated non-minimum phase marine vessels. Through proper coordinates transformations, the vessels model can be transformed into two-input-two-output strict-feedback form which general backstepping method applicable to solve control problem. To avoid possible singularity problem in recursive design, an AMO (asymptotic modificati...

In this paper we study the problem of equalizing a communications channel from an H 1 point of view. H 1 estimation theory has been recently introduced as a method for designing lters that have acceptable performance in the face of model uncertainty and lack of statistical information on the exogenous signals. The approach may therefore be attractive for channel equalization problems where rapi...

Analysis and design algorithms for residual generators for non minimum phase systems are given. It is shown that H∞ optimization of residual generators applied directly to systems including non minimum phase zeros can be very conservative. To remove this conservatism in theH∞ optimization of the residual generators, a factorization of the non minimum phase system into a minimum phase part and a...