Robust decentralized guaranteed-cost control for interconnected power systems

This paper establishes robust guaranteed-cost decentralized stabilization method for interconnected continuous-time systems with Lipschitz-type nonlinearities and subject to convex-bounded parametric uncertainties. We design a decentralized observer-based feedback stabilization scheme such that the family of closed-loop feedback subsystems enjoys the asymptotic stability with a guaranteed cost for each subsystem. The decentralized feedback gains are determined by convex optimization over LMIs. All the developed results are tested on an interconnected power system.