ON THE EXISTENCE OF GLOBALLY STABLE ACTUATOR SATURATION COMPENSATORS

Although actuator saturation is a common nonlinear problem in practica l control systems, the condition under which compensators exist that g lobally stabilize systems subject to actuator saturation, is still not well understood. In this paper, it is shown that actuator saturation compensators exist that globally stabilize systems containing up to on e integrator. For systems with two integrators, it is established that the compensated system can only be Lagrange stable. The stability res ult presented in this paper can also be extended to analyse the stabil ity of systems using existing compensation schemes, thus providing a m uch needed justification for the use of these schemes in practice. The results presented here are illustrated by examples.