Geodesic
Design of a model following control system for nonlinear descriptor system in discrete time
Kybernetika, Tome 44 (2008) no. 4, pp. 546-556.

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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.
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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     author = {Wu, Shujing and Okubo, Shigenori and Wang, Dazhong},
     title = {Design of a model following control system for nonlinear descriptor system in discrete time},
     journal = {Kybernetika},
     pages = {546--556},
     publisher = {mathdoc},
     volume = {44},
     number = {4},
     year = {2008},
     mrnumber = {2459072},
     zbl = {1173.93387},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_4_a9/}
}
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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/