Economic evaluation and state time-delayed feedback chaos control of dynamic supply function model in power market

2010 ◽  
Author(s):  
M Zhang ◽  
H.M. Yang ◽  
D.L. Yang ◽  
M.Y. Lai ◽  
Y.X. Zhang
Keyword(s):  
Economic Evaluation ◽  
Chaos Control ◽  
Power Market ◽  
Delayed Feedback ◽  
Supply Function ◽  
Function Model ◽  
State Time ◽  
Time Delayed Feedback

ADAPTIVE TIME-DELAYED FEEDBACK FOR CHAOS CONTROL IN A PWM SINGLE PHASE INVERTER

2004 ◽  
Vol 13 (03) ◽  
pp. 519-534 ◽  
Author(s):  
B. ROBERT ◽  
H. H. C. IU ◽  
M. FEKI
Keyword(s):  
State Feedback ◽  
Chaos Control ◽  
Single Phase ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Phase Inverter ◽  
Adaptive Law ◽  
Adaptive Time ◽  
Single Phase Inverter ◽  
Time Delayed Feedback

Many power converters exhibit chaotic behaviors and bifurcations when conventional feedback corrector are badly tuned or when parameters vary. Time-Delayed Feedback Control (TDFC) can be used to stabilize them using a state feedback delayed by the period of the unstable orbit (UPO) to be stabilized. An obvious advantage of this method is the robustness because it does not require the knowledge of an accurate model but only the period of the target UPO. In this paper, TDFC is applied to a PWM current-programmed single phase inverter concurrently with a proportional corrector in order to avoid bifurcations and chaos and to stabilize the fundamental UPO over a widened range of application. Moreover an improvement of the dynamical performances is realized by defining an adaptive law for the TDFC.

scholarly journals Determining the controllable conditions for time-delayed feedback chaos control

2004 ◽  
Vol 53 (9) ◽  
pp. 2864
Author(s):  
Zhang Xiao-Ming ◽  
Peng Jian-Hua ◽  
Chen Guan-Rong
Keyword(s):  
Chaos Control ◽  
Delayed Feedback ◽  
Time Delayed Feedback

Theoretical and experimental aspects of chaos control by time-delayed feedback

2003 ◽  
Vol 13 (1) ◽  
pp. 259-266 ◽  
Author(s):  
Wolfram Just ◽  
Hartmut Benner ◽  
Ekkehard Reibold
Keyword(s):  
Chaos Control ◽  
Delayed Feedback ◽  
Time Delayed Feedback

Controlling a Shape Memory Alloy Two-Bar Truss Using Delayed Feedback Method

2014 ◽  
Vol 14 (08) ◽  
pp. 1440032 ◽  
Author(s):  
Aline S. de Paula ◽  
Marcel V. S. dos Santos ◽  
Marcelo A. Savi ◽  
Wallace M. Bessa
Keyword(s):  
Shape Memory Alloy ◽  
Shape Memory ◽  
Chaos Control ◽  
Variable Structure ◽  
Delayed Feedback ◽  
Unstable Periodic Orbits ◽  
Geometrical Nonlinearities ◽  
Feedback Method ◽  
Dynamics Response ◽  
Time Delayed Feedback

This work discusses the use of chaos control in smart structures. An archetypal model of a shape memory alloy (SMA) two-bar truss is treated. This system exhibits both constitutive and geometrical nonlinearities presenting a complex nonlinear dynamics response including either the snap-through or the chaotic behaviors. A constitutive model that presents a close agreement with experimental data is employed to describe the themomechanical SMA behavior. A variation of the continuous time-delayed feedback method is employed as a control strategy. This variable structure controller is applied to the stabilization of unstable periodic orbits of the SMA structure avoiding the snap-through behavior.

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