Semi-global stabilization via linear sampled-data output feedback for a class of uncertain nonlinear systems

摘要

This paper develops a systematic design scheme to construct a linear sampled-data output feedback controller that semi-globally asymptotically stabilizes a class of uncertain systems with both higher-order and linear growth nonlinearities. To deal with the uncertain coefficients in the systems, a robust state feedback stabilizer and a reduced-order sampled-data observer, both in the linear form, are constructed and then integrated together. The semi-global attractivity and local stability are delicately proved by carefully selecting a scaling gain using the output feedback domination approach and a sampling period sufficiently small to restrain the state growth under a zero-order-holder input. Copyright (C) 2014 John Wiley & Sons, Ltd.