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Design of discrete-time nonlinear control systems via smooth feedback

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2 Author(s)
Wei Lin ; Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA ; Byrnes, C.I.

Using the center manifold theory for maps in a systematic way, the authors present in this note a necessary condition and sufficient conditions for discrete-time nonlinear systems to be stabilizable via smooth state feedback. Then, the authors derive a necessary and sufficient condition characterizing the existence of exponential observers for Lyapunov stable discrete-time nonlinear systems. This, in turn, leads to a separation principle for the asymptotic stabilization problem. As an application, the output regulation problem is solved via error feedback

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Automatic Control, IEEE Transactions on  (Volume:39 ,  Issue: 11 )