A Scalings Approach to H2-Gain-Scheduling Synthesis without Elimination

Abstract

We present a direct synthesis approach to H2-gain-scheduling for time-varying parametric scheduling blocks with D- and positive real scalings based on a convexifying transformation for the controller parameters. In particular, finiteness of the H2-norm for the closed-loop system is achieved by solving a specific design problem with structured linear fractional representations of the plant and the controller. To enlarge the field of applications, we extend the framework to networks consisting of gain-scheduling systems with a delayed coupling.