Robust stabilization of discrete-time systems with state saturation

The paper studies the robust control problem of discrete-time systems with state saturation. First the paper introduces an ellipsoid and supposes that the invariant set of the system contains the ellipsoid. By using matrix norm theory we obtain one sufficient condition of the stability of the discrete-time system with state saturation. The attraction domain of the system is estimated. Then the paper researches the stability of the uncertain system with state saturation. Finally a numerical example is presented to demonstrate the result of the paper.