Stabilization of Discrete Time Systems with a Fold or Period Doubling Control Bifurcations
نویسندگان
چکیده
For nonlinear control systems with uncontrollable linearization around an equilibrium, the local asymptotic stability of the linear controllable directions can be easily achieved by linear feedback. Therefore we expect that the stabilizability of the whole system should depend on a reduced order model whose stabilizability depends on the linearly uncontrollable directions. The controlled center dynamics technique, introduced by the authors in a previous article, formalizes this intuition. In this paper we apply this approach to stabilize discrete-time systems with a fold or period-doubling control bifurcations. Copyright c ©2005 IFAC.
منابع مشابه
Stabilization of Discrete Time Systems with a Fold or Period Doubling Control Bifurcation
In this paper we derive the controlled center dynamics and synthesize stabilizing controllers for nonlinear discrete time systems with fold and period-doubling control bifurcations.
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