Multiobjective robust dynamic output-feeback control synthesis based on reference model

This paper presents a new strategy for robust dynamic output-feedback control synthesis for uncertain continuous-time linear time-invariant systems represented by polytopicmodels. It is considered a multiobjective optimization problem to guarantee tracking response specifications, disturbance rejection, and noise attenuation. The controller design criterion is to minimize the H_∞-norm of the error between a reference model and the closed-loop transfer function to attain the tracking response specifications. The proposed control synthesis methodology is based on a two step iterative procedure: synthesis, based on a non-linear optimization algorithm, and analysis, based on a branch-and-bound algorithm combined with LMI analysis formulations. A numeric example is presented to illustrate the effectiveness of the proposed approach.