Reduced-order output feedback control of a class of uncertain systems

Stabilization of uncertain dynamical systems on ℝn, which admit a decomposition into two coupled subsystems, of dimension nc and nr respectively, is studied. We refer to the nc-dimensional subsystem as the reduced-order system and to the nr-dimensional subsystem as the residual system: the overall n-dimensional system is termed the full system. Each subsystem is modelled by a differential equation with a stable linear nominal part and a nonlinear perturbation of a specified class. The output available for feedback purposes is anℝnc-valued linear combination of the state components of the full system and is subject to bounded measurement noise (with known bound). An output feedback strategy is described which guarantees the existence of a calculable global uniform compact attractor (containing the state origin) for systems of this class.