TOPOLOGICAL INTERPOLATION METHOD FOR MODELING DYNAMIC SYSTEMS

The method of simulation structural-complex continuous-discrete control systems is discussed. For simulation and calculation of dynamic processes in continuous-discrete systems topological interpolation method is proposed, based on application of hybrid methods of space of state variables and interpolation of signals. The essence of the method is that the dynamics of the investigated system, considered at the final interval, is broken down into subintervals, on each of which the processes are described by linear ordinary system differential equations. The computational efficiency of the proposed method was evaluated by comparison with standard methods such as the Runge-Kutta-Merson method. The use of this method to calculate the dynamic processes described by the non-linear or piecemeal differential equations with the right breaking part allows to reduce the number of calculations by 2^n-1 times compared to the known methods and to eliminate operations related to decomposition of the fundamental matrix in the Taylor power series.

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