2007 Volume 43 Issue 1 Pages 23-30
This paper studies the feedback control of a class of second order linear systems which include the double integrator and are actuated by on-off input. This class of systems includes many important applications such as the orientation control of satellites which are actuated by thrustors. A class of feedback control laws are proposed which guarantee the global stability. The basic approach in stability analysis is to use continuous and piecewise smooth Lyapunov functions and Filippov theory.