Mixed LPV/robust stochastic stabilization of LTV systems with uncertain gaussian parametric measures

The purpose of this paper is to consider the quadratic stabilization of LPV systems in the realistic case where only gaussian noisy parameter measures are available. Though neglected in the actual literature on LPV systems, this question is particular important because in all situations of a practical interest the parameter measurements (or estimates) are never exact. To face this problem a specifically developed approach consisting of mixed robust and LPV control methods is required. In the present case, an approach based on a vertex result on interval time varying (ITV) matrices is proposed. This allows the solvability conditions to be stated in terms of a set of LMI's, whose number is independent of the number of time-varying parameters.