H/sub ∞/ control of a class of nonlinear systems using describing functions and simplicial algorithms

1997 ◽  
Vol 42 (5) ◽  
pp. 707-712 ◽  
Author(s):  
R.D. Colgren ◽  
E.A. Jonckheere
Keyword(s):  
Nonlinear Systems ◽  
Describing Functions ◽  
Simplicial Algorithms

Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions

Automatica ◽  
2011 ◽  
Vol 47 (12) ◽  
pp. 2684-2688 ◽  
Author(s):  
David Rijlaarsdam ◽  
Pieter Nuij ◽  
Johan Schoukens ◽  
Maarten Steinbuch
Keyword(s):  
Spectral Analysis ◽  
Nonlinear Systems ◽  
Higher Order ◽  
Describing Functions ◽  
Sinusoidal Input ◽  
Block Structured

scholarly journals Nonlinear systems - describing functions analysis and using

2018 ◽  
Vol 210 ◽  
pp. 02021
Author(s):  
Zdenêk Úředníček
Keyword(s):  
Nonlinear System ◽  
Nonlinear Systems ◽  
Limit Cycles ◽  
Point Of View ◽  
Mechatronic Systems ◽  
Short Introduction ◽  
Describing Functions ◽  
Basic Parameters

The paper presents a basic description and examples of the use of so called descriptive functions, allowing analysing the influence of inherent and indispensable components of all mechatronic systems mechanical subsystems - so called hard nonlinearities. These parts “causing” - in addition to the centrifugal and Coriolis generalized forces- the nonlinearity of the system, can be analysed by the abovementioned method from the point of view of their origin and the estimation of the basic parameters of their frequent consequences - so-called limit cycles. After a short introduction, which introduces and explains describing functions using the example of a nonlinear system taken from the literature, some of the socalled hard nonlinear subsystems (such as the mechanical chain of robots) are shown to be used. The paper is the first part of a more extensive description analysis of nonlinear systems concept using these functions in order to enable analysis and prediction of limit cycles.

Identification of Continuous-time Nonlinear Systems via Local Gaussian Process Models

2014 ◽  
Vol 134 (11) ◽  
pp. 1708-1715
Author(s):  
Tomohiro Hachino ◽  
Kazuhiro Matsushita ◽  
Hitoshi Takata ◽  
Seiji Fukushima ◽  
Yasutaka Igarashi
Keyword(s):  
Nonlinear Systems ◽  
Gaussian Process ◽  
Continuous Time ◽  
Process Models ◽  
Gaussian Process Models

Modeling of Nonlinear Systems using Genetic Algorithm

2012 ◽  
Vol 132 (6) ◽  
pp. 913-918 ◽  
Author(s):  
Kayoko Hayashi ◽  
Toru Yamamoto ◽  
Kazuo Kawada
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Systems
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