# Article

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Keywords:
discrete-time system; descriptor; model following control system; nonlinear control system; disturbance
Summary:
A model following control system (MFCS) can output general signals following the desired ones. In this paper, a method of nonlinear MFCS will be extended to be a nonlinear descriptor system in discrete time. The nonlinear system studied in this paper has the property of norm constraint $||f(v(k))||\le \alpha +\beta ||v(k)||^\gamma$, where $\alpha \ge 0$, $\beta \ge 0$ , $0\le \gamma <1$. In this case, a new criterion is proposed to ensure the internal states be stable.
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