Fixed-structure LPV discrete-time controller design with induced l2-norm and H2 performance

A new method for the design of fixed-structure dynamic output-feedback Linear Parameter Varying (LPV) controllers for discrete-time LPV systems with bounded scheduling parameter variations is presented. Sufficient conditions for the stability, H2 and induced l2-norm performance of a given LPV system are given through a set of Linear Matrix Inequalities (LMIs) and exploited for design. Extension to the case of uncertain scheduling parameter value is considered as well. Controller parameters appear directly as decision variables in the convex optimisation program, which enables preserving a desired controller structure in addition to the low order. Efficiency of the proposed method is illustrated on a simulation example, with an iterative convex optimisation scheme used for the improvement of the control system performance.