Open AccessJournal Article
Analysis of Nonlinear Sustained Oscillations in Discrete Systems with Backlash and Resolution by Using a Discretization-Oriented Describing Function
M. De la Sen,A. Pena J. Esnaola +1 more
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TLDR
A discretization-oriented describing function is derived for nonlinear devices combining backlash and quantization (resolution) while being subject to discretized through a sampler and zeroorder hold.Abstract:
In this paper, a discretization-oriented describing function is derived for nonlinear devices combining backlash and quantization (resolution) while being subject to discretization through a sampler and zeroorder hold. Such a describing function is frequency-dependent so that the overall nonlinearity, which includes both resolution and backlash, is interpreted as possessing nonlinear inertia. That nonlinear inertia is generated by the sampling process, since it does not appear if the system is continuous. The presence of nonlinear sustained oscillations (limit cycles) is investigated through simulations.read more
Citations
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Proceedings ArticleDOI
Experimental design for backlash detection in a two-mass rotational system
TL;DR: The preliminary identification results will be used in later work for active vibration control and it is established that it is more suitable to use Pseudorandom Multilevel Sequence excitation for the detection of backlash because the multilevel magnitudes of the signal can invoke the nonlinearity of the system when the it is amplitude dependent.
References
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Book
Multiple-Input Describing Functions and Nonlinear System Design
TL;DR: The theory of automatic control has been advanced in important ways during recent years, particularly with respect to stability and optimal control, but these theories do not, however, lay to rest all questions of importance to the control engineer.
Journal ArticleDOI
Quantitative design of a class of nonlinear systems with parameter uncertainty
TL;DR: In this article, the authors consider the case in which a linear time-invariant (LTI) but uncertain plant suffers from nonlinearities y=n(x) which can be expressed as y=Kn+η(x), |η (x)|≤M, with K, a possibly uncertain scalar.
Journal ArticleDOI
Error Bounds for General Describing Function Problems
TL;DR: In this article, a user-oriented method for checking error bounds for nonlinear elements with single valued and bounded slope was proposed. But this method is limited to single-valued nonlinear element characteristics.
Proceedings ArticleDOI
Robust Nonlinear Control System Synthesis Method for Electro-Mechanical Pointing Systems with Flexible Modes
James Taylor,Jin Lu +1 more
TL;DR: In this paper, the authors describe a robust control system for a gun turret testbed called the ATB1000, which incorporates a control scheme based on sinusoidal-input describing function (SIDF) models of the testbed's drive subsystem to reduce the effects of backlash and nonlinear friction.
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