Static output feedback control for LPV systems under affine uncertainty structure

This paper addresses the static output feedback (SOF) control design problem of Linear Parameter Varying (LPV) affine systems. We aim all along the work to establish robust stability and stabilizability conditions, formulated in terms of Linear Matrix Inequalities (LMIs). The conditions are parameterized by a real α that allows to bring to feasibility some unfeasible problems. Also the separation between the Lyapunov matrix and the state matrix are done by use of some useful lemmas. This reduces the conservatism engendered and achieves the relaxation of the problem by the addition of slack variables. We prove by numerical examples the contribution of the newly proposed approach for both the analysis and the synthesis of the LPV system.