Distributed Control with Integral Quadratic
Hui Fang and Panos J. Antsaklis
In this paper, stability conditions for distributed control problems are derived under general integral quadratic
constraints to achieve quadratic performance. These results take the form of coupled LMIs, and the multipliers are
specified by the underlying integral quadratic constraints to model interconnections between the subsystems. It is
further shown that these stability results can be exploited for distributed controller synthesis in a similar way to
the gain-scheduling controller design in the LPV systems. The main contribution of this paper is to unify previous
stability results in one general framework of Integral Quadratic Constraints (IQC) analysis and provide lower dimension
controller synthesis conditions.
Over the past few years, there has been renewed research interest in distributed control of large scale systems;
see for example, ,, , , , , , , . These systems are formed by the interconnection of multiple
homogeneous or heterogeneous subsystems. Their overall complex dynamical behavior is dictated by their distributed
nature and the dynamical interactions between the subsystems.
The spatially distributed nature of the system and the presence of interconnections make the sharing of feedback
information challenging. This factor has motivated new research directions in control theory where communication
constraints are considered explicitly. In particular, researchers have considered control problems with non-ideal