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Summary: Distributed Control with Integral
Quadratic Constraints
Hui Fang, Panos J. Antsaklis
Department of Electrical Engineering, University of Notre Dame,
Notre Dame, IN, 46556, USA
E-mail: hfang@nd.edu, antsaklis.1@nd.edu.
Abstract: 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.
Keywords: Distributed Control, IQC, Controller Synthesis.
1. INTRODUCTION
Over the past few years, there has been renewed research
interest in the distributed control of large scale systems;
see for example, Langbort et al. [2004], Dullerud and
D' Andrea [2004], Langbort et al. [2006], Ugrinovskii et al.
[2000], Scorletti and Due [2001], Chen and Lall [2003].
Many of these systems are formed by interconnecting mul-
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