A semi-global low-and-high gain design technique for linear systems with input saturation—stabilization and disturbance rejection

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 a semi-global practical stabilization problem.