Decentralized quadratic stabilization of large-scale systems

Decentralized quadratic stabilization is considered for a class of large-scale uncertain systems composed of a number of interconnected subsystems. The information structure constraint is conformable to the subsystems. Norm-bounded structural uncertainties are dealt with both in subsystems and interconnections. By introducing two sets of parameters, one characterizing the strength of interconnections and the other scaling subsystem matrices, the decentralized quadratic stabilization problem is reduced to H_∞ control problems on the subsystem level where no uncertainty is involved. Then, local output feedback controllers are designed using algebraic Riccati equations