Approximate model-matching for nonlinear systems with a small time-delay; application to a chaotic Chua circuit

1997 ◽  
Author(s):  
J. Alvarez ◽  
M. Velasco
Keyword(s):  
Time Delay ◽  
Nonlinear Systems ◽  
Approximate Model ◽  
Small Time ◽  
Model Matching ◽  
Chua Circuit ◽  
Small Time Delay

Observer-Based Control of Nonlinear Time-Delay Systems in Lower-Triangular Form

2009 ◽  
Author(s):  
Salim Ibrir
Keyword(s):  
Time Delay ◽  
Small Time ◽  
Nonlinear Observer ◽  
Delay Systems ◽  
Linear Feedback ◽  
Time Delay Systems ◽  
Triangular Form ◽  
Small Time Delay ◽  
System Nonlinearity ◽  
Delay Dependent

Time-delay systems is a special class of dynamical systems that are frequently present in many fields of engineering. It has been shown in the literature that the existence of a stabilizing observer-based controller is related to delay-dependent conditions that are generally satisfied for a small time delay. Motivating works towards reducing the conservatism of the results are among the on-going research topics especially when partial-state measurements are imposed. This paper investigates the problem of observer-based stabilization of a class of time-delay nonlinear systems written in triangular form. First, we show that a delay nonlinear observer is globally convergent under the global Lipschitz condition of the system nonlinearity. Then, it is shown that a parameterized linear feedback that uses the observer states can stabilize the system whatever the size of the delay. Illustrative example is provided to approve the theoretical results.

scholarly journals New Intelligent Control of Auto-self Defensive Unmanned Aerial Vehicle

2021 ◽  
Vol 15 ◽  
pp. 23-26
Author(s):  
Marwa A. El-Diwiny ◽  
Abou-Hashema M. El-Sayed
Keyword(s):  
Time Delay ◽  
Unmanned Aerial Vehicle ◽  
Intelligent Control ◽  
Inertial Navigation System ◽  
Small Time ◽  
Surface Distribution ◽  
X Band ◽  
Small Time Delay ◽  
Aerial Vehicle ◽  
Sample Time

This paper handle a new terminology of the field of the unmanned aerial vehicle is Auto-self defensive UAV, by using new configuration of x-band Doppler surface distribution. The aim of this research is to make UAV can avoid any directed missiles at small time delay before the collision. The intelligent control will process the data of the hypothetical missiles by using supercomputing and send it to the inertial navigation system to correct the path of UAV every sample time against the missile. The goal is to make intelligent UAV that can maneuver the missile and never collide with it.

scholarly journals On Asymptotic Behavior for Reaction Diffusion Equation with Small Time Delay

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Xunwu Yin
Keyword(s):  
Asymptotic Behavior ◽  
Time Delay ◽  
Diffusion Equation ◽  
Bounded Solution ◽  
Reaction Diffusion ◽  
Small Time ◽  
Reaction Diffusion Equation ◽  
Small Time Delay ◽  
Scalar Diffusion

We investigate the asymptotic behavior of scalar diffusion equation with small time delayut-Δu=f(ut,u(t-τ)). Roughly speaking, any bounded solution will enter and stay in the neighborhood of one equilibrium when the equilibria are discrete.

Bifurcation Analysis and Spatiotemporal Patterns in Unidirectionally Delay-Coupled Vibratory Gyroscopes

2018 ◽  
Vol 28 (02) ◽  
pp. 1850029 ◽  
Author(s):  
Li Li ◽  
Jian Xu
Keyword(s):  
Time Delay ◽  
Small Time ◽  
Spatiotemporal Patterns ◽  
Periodic Oscillations ◽  
Vibratory Gyroscopes ◽  
Gyroscope System ◽  
Small Time Delay ◽  
Related Characteristic ◽  
Delay Differential ◽  
Design And Manufacture

Time delay is inevitable in unidirectionally coupled drive-free vibratory gyroscope system. The effect of time delay on the gyroscope system is studied in this paper. To this end, amplitude death and Hopf bifurcation induced by small time delay are first investigated by analyzing the related characteristic equation. Then, the direction of Hopf bifurcations and stability of Hopf-bifurcating periodic oscillations are determined by calculating the normal form on the center manifold. Next, spatiotemporal patterns of these Hopf-bifurcating periodic oscillations are analyzed by using the symmetric bifurcation theory of delay differential equations. Finally, it is found that numerical simulations agree with the associated analytic results. These phenomena could be induced although time delay is very small. Therefore, it is shown that time delay is an important factor which influences the sensitivity and accuracy of the gyroscope system and cannot be neglected during the design and manufacture.

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