Geodesic
Design of a model following control system for nonlinear descriptor system in discrete time
Kybernetika, Tome 44 (2008) no. 4, pp. 546-556 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 62A10, 62F15, 62K05, 93B51, 93C10, 93C55, 93E12
Keywords: discrete-time system; descriptor; model following control system; nonlinear control system; disturbance 
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     title = {Design of a model following control system for nonlinear descriptor system in discrete time},
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     pages = {546--556},
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Wu, Shujing; Okubo, Shigenori; Wang, Dazhong. Design of a model following control system for nonlinear descriptor system in discrete time. Kybernetika, Tome 44 (2008) no. 4, pp. 546-556. http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a9/

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