SOME NEW RESULTS ON CLOSED-LOOP STABILITY IN THE PRESENCE OF CONTROL SATURATION

Some new sufficient conditions for determining global asymptotic stabi lity of an equilibrium point under control saturation are presented. F or an open-loop stable system, we show that there exists a class of li near time invariant state feedback matrices which globally stablizes a n equilibrium under control saturation. In addition, we show that for open-loop unstable plants, an equilibrium can never be globally stabil ized using a certain class of saturated linear time invariant state fe edback. Finally, we extend the stability results to nonlinear systems whose nonlinearities are globally Lipschitz.