Robust decentralized stabilization for a class of nonlinear large-scale systems

A robust stabilization problem is discussed for a class of multi-channel nonlinear large-scale systems with uncertain nonlinear perturbations both in state and control inputs. Several robust output feedback control laws are presented in this paper. And corresponding static state feedback control laws can be obtained as their special cases. This problem is reduced to a feasibility problem of convex optimization constrained by some linear matrix inequalities (LMI). The proposal controllers can both robustly stabilize the control systems and maximize the bound of the nonlinear perturbations. Our results are an extension of the control scheme of centralized output feedback control to decentralized output feedback control for a class of nonlinear uncertain control systems with multi-channels.