Abstract
A controller is designed to minimize the closed-loop H∞-norm and satisfy an open-loop dissipativity constraint. The H∞-norm optimizes performance of a nominal LTI plant approximation, while the dissipativity constraint ensures stability of the true plant, which is composed of potentially nonlinear and uncertain subsystems robustly characterized by input-output properties. A local minimum to the NP-hard problem is found using the convex concave procedure, and an initialization is proposed that guarantees feasibility for a wide array of special cases. A numerical experiment compares the proposed design to the H∞-optimal controller for a network of nonlinear and LTI systems.
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