Global Asymptotic Stabilization of the Double Integrator System With Output Saturation

In this article, we revisit the problem of global asymptotic stabilization of the double integrator system subject to output saturation. It is shown that there exist linear dynamic output feedback laws that globally asymptotically stabilize the double integrator system subject to output saturation. The construction of the linear output feedback laws is then presented in the form of an explicit algorithm. This method is then extended to a class of high-order systems that are of minimum phase and have a relative degree of 2. Simulation results illustrate that these linear dynamic output feedback laws achieve global asymptotic stabilization of the double integrator system subject to output saturation.