Stochastic synchronization of nonlinear energy resource system via partial feedback control

This paper addresses stochastic synchronization issue of the four-dimensional energy resource system with stochastic noises based on partial states. By using the adaptive control approach, in the case of only parts of states are available, several sufficient conditions are derived to ensure synchronization of the nonlinear energy resource system under noise perturbation. Furthermore, robust synchronization in the presence of parameter mismatches is also considered. To be pointed out that, the important feature of the proposed method is that synchronization could be achieved through the control of only parts of available variables even with stochastic noises. Finally, a numerical example with simulation results is provided to illustrate and verify the effectiveness of the obtained results.

[1]  Lixin Tian,et al.  Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters , 2009 .

[2]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[3]  Lixin Tian,et al.  An energy resources demand–supply system and its dynamical analysis , 2007 .

[4]  Zidong Wang,et al.  Exponential synchronization of stochastic delayed discrete-time complex networks , 2008 .

[5]  Runhe Qiu,et al.  Adaptive lag synchronization in unknown stochastic chaotic neural networks with discrete and distributed time-varying delays☆ , 2008 .

[6]  Yonghui Sun,et al.  Stabilization of stochastic delayed neural networks with Markovian switching , 2008 .

[7]  Xuerong Shi,et al.  Adaptive synchronization of the energy resource systems with mismatched parameters via linear feedback control , 2012 .

[8]  Jinde Cao,et al.  Adaptive synchronization between two different noise-perturbed chaotic systems with fully unknown parameters , 2007 .

[9]  Birgitte Bak-Jensen,et al.  Stochastic Optimization of Wind Turbine Power Factor Using Stochastic Model of Wind Power , 2010, IEEE Transactions on Sustainable Energy.

[10]  Lixin Tian,et al.  The model reference control for the four-dimensional energy supply-demand system , 2011 .

[11]  Zuolei Wang Chaos synchronization of an energy resource system based on linear control , 2010 .

[12]  Jinde Cao,et al.  Exponential synchronization of stochastic perturbed chaotic delayed neural networks , 2007, Neurocomputing.

[13]  Gang Hu,et al.  Synchronization of a one-dimensional array of Chua's circuits by feedback control and noise , 1995 .

[14]  Lixin Tian,et al.  A new four-dimensional energy resources system and its linear feedback control , 2009 .

[15]  Xuerong Shi,et al.  Robust chaos synchronization of four-dimensional energy resource system via adaptive feedback control , 2010 .

[16]  Kai Schneider,et al.  Adaptive numerical simulation of pulsating planar flames for large Lewis and Zeldovich ranges , 2006 .

[17]  Lixin Tian,et al.  Feedback control and adaptive control of the energy resource chaotic system , 2007 .

[18]  J. Kurths,et al.  Stochastic resonance in an ensemble of bistable systems under stable distribution noises and nonhomogeneous coupling. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  J. Yan,et al.  Robust chaos synchronization of four-dimensional energy resource systems subject to unmatched uncertainties , 2009 .

[20]  Edward M. Lungu,et al.  Stochastic models for sunshine duration and solar irradiation , 2002 .

[21]  X. Mao,et al.  A note on the LaSalle-type theorems for stochastic differential delay equations , 2002 .

[22]  Guanrong Chen,et al.  Using white noise to enhance synchronization of coupled chaotic systems. , 2006, Chaos.

[23]  Guanrong Chen,et al.  On time-delayed feedback control of chaotic systems , 1999 .

[24]  Jinde Cao,et al.  Robust stochastic stability analysis of genetic regulatory networks with disturbance attenuation , 2012, Neurocomputing.

[25]  Wei Lin,et al.  Complete synchronization of the noise-perturbed Chua's circuits. , 2005, Chaos.

[26]  Yang Tang,et al.  Multiobjective synchronization of coupled systems. , 2011, Chaos.

[27]  Wai Keung Wong,et al.  Impulsive pinning synchronization of stochastic discrete-time networks , 2010, Neurocomputing.

[28]  Jian-An Fang,et al.  Synchronization of Takagi–Sugeno fuzzy stochastic discrete-time complex networks with mixed time-varying delays , 2010 .

[29]  Jürgen Kurths,et al.  Noise-enhanced phase synchronization of chaotic oscillators. , 2002, Physical review letters.

[30]  Guanrong Chen,et al.  A time-varying complex dynamical network model and its controlled synchronization criteria , 2004, IEEE Trans. Autom. Control..

[31]  A. Friedman Stochastic Differential Equations and Applications , 1975 .

[32]  E. M. Shahverdiev,et al.  Chaos synchronization in some power systems , 2008 .

[33]  Jinde Cao,et al.  Adaptive synchronization of neural networks with or without time-varying delay. , 2006, Chaos.

[34]  Zuolei Wang,et al.  Adaptive Q–S synchronization of non-identical chaotic systems with unknown parameters , 2010 .

[35]  Lihong Huang,et al.  Stability analysis of non-autonomous stochastic Cohen–Grossberg neural networks , 2009 .

[36]  Jinde Cao,et al.  Adaptive synchronization of uncertain dynamical networks with delayed coupling , 2008 .

[37]  Jinde Cao,et al.  A unified synchronization criterion for impulsive dynamical networks , 2010, Autom..

[38]  Qingyun Wang,et al.  Adaptive fuzzy synchronization for a class of chaotic systems with unknown nonlinearities and disturbances , 2012, Nonlinear Dynamics.

[39]  Ying Chen,et al.  Energy resources demand-supply system analysis and empirical research based on non-linear approach , 2011 .

[40]  Xuerong Shi,et al.  Synchronization of a four-dimensional energy resource system via linear control , 2011 .

[41]  Lixin Tian,et al.  Research on the evolution model of an energy supply–demand network , 2012 .