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Describing function

About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.


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Journal ArticleDOI
TL;DR: In this article, structural loads on the vertical tail of an aircraft with a limited authority yaw damper were calculated and compared with those of a Monte Carlo simulation, and a simplified procedure was developed to assess the necessity for, and adequacy of describing function analyses.
Abstract: Structural loads on the vertical tail of an aircraft with a limited authority yaw damper are calculated. The results of a random input describing function analysis are compared with those of a Monte Carlo simulation. Comparisons of exceedance rates and other statistics are presented. The mission analysis criterion for continuous turbulence is used to establish the design limit load. The describing function analysis consistently underestimates the design limit load for two different authority limits. The cause of this discrepancy is examined, and a simplified procedure is developed to assess the necessity for, and adequacy of, describing function analyses.
Journal ArticleDOI
TL;DR: In this article, the authors proposed a method of numerical analysis by the multiple input describing function for the self-excited oscillation in a nonlinear system with hysteresis.
Abstract: This paper presents a method of numerical analysis by the multiple input describing function for the self-excited oscillation in a nonlinear system with hysteresis. In the traditional analysis by the describing function, the describing function for the hysteresis is determined in an analytic form, and a very complex calculation is required to perform a highly accurate analysis including the harmonic components of the self-excited oscillation. Consequently, in practice, it has been impossible to determine analytically the describing function for the multiple input. Furthermore, the calculation is impossible for the describing function, where the hysteresis characteristics contain a minor loop. From such a viewpoint, this paper proposes a method and algorithm for the analysis of self-excited oscillation. In the proposed method, the describing function is determined numerically by the digital simulation of the hysteresis, and the discrete Fourier transform and its inverse are applied to the result. By this method, the describing function can be determined numerically even for the cases of multiple input and the case with a minor loop. Thus, the self-excited oscillation can be analyzed considering the harmonic components and the multiple mode. As an example, the self-excited oscillation of the nonlinear system is analyzed for the case where the linear part is represented by a second-order transfer function or by a sum of such functions.
Journal ArticleDOI
TL;DR: Based on the new software presented here, the use of SIDF-based nonlinear control system analysis and design methods is substantially easier to carry out and more powerful than before.
Book ChapterDOI
T. Hanaoka1
01 Jan 1992
TL;DR: In this paper, a new design method of nonlinear control systems in the time-domain using newly developed iterative dynamic programming algorithm is proposed, which gives us a straightforward design technique for various nonlinear plants containing nonlinear elements in actuators of plants and/or plants themselves.
Abstract: In this paper, a new design method of nonlinear control systems in the time-domain using newly developed iterative dynamic programming algorithm is proposed. This method gives us a straightforward design technique for various nonlinear plants containing nonlinear elements in actuators of plants and/or plants themselves under the forms of optimal control policies of the minimum-time and minimum-fuel-consumption and more general performance criterion functions. This algorithm does not need a trial-and-error procedure. The controller of tabular forms obtained by this method was satisfactorily implemented in various simulations of nonlinear control systems including multiple-input-multiple-output systems. All the controllers designed were tested in the on-line use with the analog simulation of the plants considered. The results obtained here show that this technique is very effective in the design methods of nonlinear control systems. This technique is suggested to overcome difficulties in the use of traditional describing function technique.

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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202312
202230
202142
202057
201953
201847