Distributed Control with Integral Quadratic Constraints

In this paper, stability conditions for distributed systems with general Integral Quadratic Constraints (IQC) on the interconnections are derived. These results take the form of coupled Linear Matrix Inequalities (LMIs), where the multipliers are shaped by the underlying IQCs. It is further shown how these results can be exploited to design distributed controllers in a way similar to the gain-scheduling controller design in Linear Parameter Varying (LPV) systems.