Abstract

This paper treats a digital controlled Control system with both continuous-time and discrete-time variables as a model of differential- difference-algebraic equations (DDA), presents a fundamental analysing method of such a nonlinear DDA for local sampling, asymptotical stability, singular perturbations and bifurcations, and further shows that there exist five types of generic bifurcations at the equilibria in contrast to two types in continuous-time dynamical systems and three types in discrete-time dynamical systems. Finally the theoretical results are applied to digital control of power systems. Numerical simulations have verified that our results are useful.

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