Engineering Applications of Time-periodic Time-delayed Systems

2013 ◽  
pp. 41-55
Author(s):  
Gábor Stéepáan
Keyword(s):  
Engineering Applications ◽  
Delayed Systems ◽  
Time Periodic

Semi-Discretization of Delayed Dynamical Systems

2001 ◽  
Author(s):  
Tamás Insperger ◽  
Gábor Stépán
Keyword(s):  
Dynamical Systems ◽  
Mathieu Equation ◽  
Special Kind ◽  
Delayed Systems ◽  
The Past ◽  
Linear Discrete System ◽  
Approximate System ◽  
Discretization Technique ◽  
The Stability ◽  
Time Periodic

Abstract An efficient numerical method is presented for the stability analysis of linear retarded dynamical systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and time-periodic in the same time, but still, it can be transformed analytically into a high dimensional linear discrete system. The method is especially efficient for time varying delayed systems, including the case when the time delay itself varies in time. The method is applied to determine the stability charts of the delayed Mathieu equation with damping.

Feedback Control of Periodic Delayed Systems

2013 ◽  
Author(s):  
Morad Nazari ◽  
Oleg A. Bobrenkov ◽  
Eric A. Butcher
Keyword(s):  
Closed Loop ◽  
Control Strategies ◽  
Control Design ◽  
Mathieu Equation ◽  
Periodic Systems ◽  
Control Effort ◽  
Delayed Systems ◽  
Combined Use ◽  
Chebyshev Spectral Collocation ◽  
Time Periodic

In this study, three control strategies based on Chebyshev spectral collocation and the Lyapunov-Floquet transformation (LFT) are explored for regulation control of linear periodic time delayed systems. In previous studies, control design based on Chebyhev spectral continuous time approximation (CSCTA) has been demonstrated for the delayed systems and the LFT has been utilized for the control of time-periodic non-delayed systems. However, the combined use of CSCTA and reduced LFT (RLFT) has thus far not been investigated for their application in control design for delayed periodic systems. The delayed Mathieu equation is used as an illustrative example, and the closed-loop response of the system and the control effort are investigated for all three control strategies.

One-Equation Turbulence Modelling for Atmospheric and Engineering Applications

2004 ◽  
Vol 113 (3) ◽  
pp. 321-346
Author(s):  
A. Venetsanos ◽  
J. Bartzis ◽  
S. Andronopoulos
Keyword(s):  
Turbulence Modelling ◽  
Engineering Applications
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