Mixed H2/H∞ multi-channel linear parameter-varying control in discrete time

Develops a method for the synthesis of linear parameter-varying (LPV) controllers in discrete time. LPV plants under consideration have linear fractional transformation (LFT) representation and specifications consist of a set of H₂/H_∞ conditions that can be defined channel-wise. In contrast to earlier results, the proposed method involves a specific transformation of both the Lyapunov and scaling/multiplier variables which renders possible the use of different Lyapunov functions and of different scaling variables for each channel/specification. Appropriate linearizing transformations on the controller data and on the scheduling function are then established to finally recast the problem as an easily tractable LMI program