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.

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