DECENTRALIZED CONTROL DESIGN OF UNCERTAIN NOMINALLY LINEAR SYMMETRICAL COMPOSITE SYSTEMS

Riccati-type control for a class of nominally linear large-scale syste ms composed of identical subsystems and symmetric interconnections is presented. Symmetric composite systems with bounded uncertainties in p arameters both in subsystems and interconnections system matrices are considered for decentralised output control design using a controller- observer scheme. The controller-observer is designed for an auxiliary artificial uncertain system whose dimension is equal to the dimension of a subsystem in the original system. Conditions for the validity of this procedure are proved and illustrated on a numerical example. Matc hing conditions are not needed.