Digital Simulation for Nonlinear Systems with Functions Containing Discontinuities

Aug. 1983

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INFORMATION AND CONTROL > 1983 > 12(4): 64-69,63.

Li Bohu, . Digital Simulation for Nonlinear Systems with Functions Containing Discontinuities[J]. INFORMATION AND CONTROL, 1983, 12(4): 64-69,63.

Citation:

Li Bohu, . Digital Simulation for Nonlinear Systems with Functions Containing Discontinuities[J]. INFORMATION AND CONTROL, 1983, 12(4): 64-69,63.

Citation:

Li Bohu, . Digital Simulation for Nonlinear Systems with Functions Containing Discontinuities[J]. INFORMATION AND CONTROL, 1983, 12(4): 64-69,63.

Abstract

A numerical method is presented for digital simulation of dynamic systems with functions containing discontinuities.The method is suitable for both off-line and in-line simulation.And it can achieve medium and high accuracy.The effectiveness of the method consists in:1.A suitable integration method for each type of problem,2.A flexible hybrid algorithm for searching the zeros of the function;3.Hermite interpolation for function approximation;4.Special treatment for evaluating the condition functions;5.Inverse continuous fraction interpolation together with rational extrapolation for greater accuracy in integration.Four examples are given to compare results obtained with those given elsewhere.

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