Output feedback control of uncertain coupled systems

The stabilization of uncertain dynamical systems on ℝ n that admit a decomposition into two coupled subsystems of dimension nc and nr respectively, is studied. We refer to the nc -dimensional sybsystem 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—the prototype for which is a mechanical model arising in the study of the active control of structures. Each subsystem is modelled by a differential equation with a linear nominal part and a nonlinear perturbation of a specified class. The output available for feedback purposes is an ℝ nc -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 and sufficient conditions are obtained for the existence of a (calculable) global uniform compact attractor (containing the state origin) for controlled systems of this class.

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