State feedback stabilization of single input systems through actuators with saturation and deadzone characteristics

Actuators with the saturation and deadzone characteristics are common in control systems, and often have adverse effects on the system performance or stability. For single input systems equipped with such actuators, we propose methods for synthesizing state feedback gains that can stabilize the systems. The goals are to get a large stability region under the limitation of saturation, to minimize the effect of deadzone, and to ensure reasonable decay rates of state trajectories. Due to the adopted linear matrix inequality formulations, the proposed methods are easy to apply because effective computation tools are readily available.