A low-and-high gain approach to semi-global stabilization and/or semi-global practical stabilization of a class of linear systems subject to input saturation via linear state and output feedback

In this paper we propose a linear low-and-high gain design technique to solve the semi-global stabilization problem for a class of linear systems subject to input saturation. The central idea behind this new technique is to increase the utilization of the available control capability of the system. The power of this new semi-global design technique is shown by solving the problem of semi-global stabilization with input-additive disturbance rejection which is formulated as semi-global practical stabilization problem