Perfect Fourier Series Solution for Feedback Control System with a Piecewise-linear Element Subjected to Sinusoidal Input : 2nd Report, Generalization and Mathematical Foundation
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概要
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In this paper the periodic response to a sinusoidal input of a single-loop automatic control system including a piecewise-linear element is exactly analysed by a new method, which gives the solution in the form of a perfect Fourier series. The piecewise-linear element treated is such that its characteristics are composed of two segments of straight lines for an unsymmetrical case and of three segments of them for a symmetrical case, and the switching over conditions between these segments may have hysteresis and jump. To offer the mathematical foundation, both the problem of existence for the solution of the infinite set of simultaneous linear equations utilized in the way of the solving procedure and that of convergency of the approximate solution by truncation method are discussed briefly.
- 一般社団法人日本機械学会の論文
著者
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Maezawa Seiichiro
Faculty Of Engineering University Of Yamanashi
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Maezawa S.
Faculty of Engineering, University of Yamanashi
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