Conditions for Global Asymptotic Stabilizability of the Double Integrator System with Output Saturation

In this paper we revisit the problem of global asymptotic stabilization of the double integrator system subject to output saturation. We first observe that the double integrator system cannot be asymptotically stabilized by linear static output feedback. We then establish that there exist linear dynamic output feedback laws that globally asymptotically stabilize the double integrator system subject to output saturation. The determination of the linear output feedback laws is presented in the form of an algorithm. Simulation results illustrate that the linear dynamic output feedback laws have the ability to achieve global asymptotic stabilization of the double integrator system subject to output saturation.