Synchronisation of uncertain chaotic systems via fuzzy-regulated adaptive optimal control approach

References

• Adloo, H., & Roopaei, M. (2011). Review article on adaptive synchronization of chaotic systems with unknown parameters. Nonlinear Dynamics, 65(2), 141–159.
   Web of Science ®Google Scholar
• Ahn, C. K., Jung, S. T., Kang, S. K., & Joo, S. C. (2010). Adaptive H∞ synchronization for uncertain chaotic systems with external disturbance. Communications in Nonlinear Science and Numerical Simulation, 15, 2168–2177.
   Web of Science ®Google Scholar
• Akbarzadeh-T, M. R., Hosseini, S. A., & Naghibi-Sistani, M. B. (2017). Stable indirect adaptive interval type-2 fuzzy sliding-based control and synchronization of two different chaotic systems. Applied Soft Computing, 55, 576–587.
   Web of Science ®Google Scholar
• Bouzeriba, A., Boulkroune, A., & Bouden, T. (2016). Fuzzy adaptive synchronization of uncertain fractional-order chaotic systems. International Journal of Machine Learning and Cybernetics, 7(5), 893–908.
   Web of Science ®Google Scholar
• Chen, C. S. (2009). Quadratic optimal synchronization of uncertain chaotic systems. Expert Systems with Applications, 36, 11827–11835.
   Web of Science ®Google Scholar
• Chen, C. S., & Chen, H. H. (2011). Intelligent quadratic optimal synchronization of uncertain chaotic systems via LMI approach. Nonlinear Dynamics, 63, 171–181.
   Web of Science ®Google Scholar
• Chen, F. X., & Zhang, W. D. (2007). LMI criteria for robust chaos synchronization of a class of chaotic systems. Nonlinear Analysis: Theory, Methods & Applications, 67, 3384–3393.
   Web of Science ®Google Scholar
• Dadras, S., & Momeni, H. R. (2010). Adaptive sliding mode control of chaotic dynamical systems with application to synchronization. Mathematics and Computers in Simulation, 80, 2245–2257.
   Web of Science ®Google Scholar
• Jeong, S. C., Ji, D. H., & Park, J. H. (2013). Adaptive synchronization for uncertain chaotic neural networks with mixed time delays using fuzzy disturbance observer. Applied Mathematics and Computation, 219(11), 5984–5995.
   Web of Science ®Google Scholar
• Ji, D. H., Jeong, S. C., Park, J. H., & Won, S. C. (2012). Robust adaptive backstepping synchronization for a class of uncertain chaotic systems using fuzzy disturbance observer. Nonlinear Dynamics, 69, 1125–1136.
   Web of Science ®Google Scholar
• Lee, S. Y., Park, M., & Baek, J. (2017). Robust adaptive synchronization of a class of chaotic systems via fuzzy bilinear observer using projection operator. Information Sciences, 402, 182–198.
   Web of Science ®Google Scholar
• Li, Y. (2010). Some new less conservative criteria for impulsive synchronization of a hyperchaotic Lorenz system based on small impulsive signals. Nonlinear Analysis: Real World Applications, 11, 713–719.
   Web of Science ®Google Scholar
• Li, S. Y., Yang, C. H., Chen, S. A., Ko, L. W., & Lin, C. T. (2013). Fuzzy adaptive synchronization of time-reversed chaotic systems via a new adaptive control strategy. Information Sciences, 222, 486–500.
   Web of Science ®Google Scholar
• Lian, R. J. (2012). Grey-prediction self-organizing fuzzy controller for robotic motion control. Information Sciences, 202, 73–89.
   Web of Science ®Google Scholar
• Lian, R. J. (2013). Design of an enhanced adaptive self-organizing fuzzy sliding-mode controller for robotic systems. Expert Systems with Applications, 39, 1545–1554.
   Web of Science ®Google Scholar
• Liao, T. L., Yan, J. J., & Hou, Y. Y. (2008). Robust chaos suppression for the family of nonlinear chaotic systems with noise perturbation. Nonlinear Analysis: Theory, Methods & Applications, 69, 14–23.
   Web of Science ®Google Scholar
• Lin, T. C., & Lee, T. Y. (2011). Chaos synchronization of uncertain fractional-order chaotic systems with time delay based on adaptive fuzzy sliding mode control. IEEE Transactions on Fuzzy Systems, 19(4), 623–635.
   Web of Science ®Google Scholar
• Lin, D., Wang, X., Nian, F., & Zhang, Y. (2010). Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems. Neurocomputing, 73, 2873–2881.
   Web of Science ®Google Scholar
• Liu, H., Pan, Y. P., & Cao, J. D. (2019). Composite learning adaptive dynamic surface control of fractional-order nonlinear systems. IEEE Transactions on Cybernetics. Advance online publication. doi:10.1109/TCYB.2019.2938754
   Google Scholar
• Liu, H., Wang, H. X., Cao, J. D., Alsaedi, A., & Hayat, T. (2019). Composite learning adaptive sliding mode control of fractional-order nonlinear systems with actuator faults. Journal of the Franklin Institute, 356, 9580–9599.
   Web of Science ®Google Scholar
• Liu, D. F., Wu, Z. Y., & Ye, Q. L. (2014). Adaptive impulsive synchronization of uncertain drive-response complex-variable chaotic systems. Nonlinear Dynamics, 75(2), 209–216.
   Web of Science ®Google Scholar
• Lu, Q., & Mahfouf, M. (2012). Multivariable self-organizing fuzzy logic control using dynamic performance index and linguistic compensators. Engineering Applications of Artificial Intelligence, 25(8), 1537–1547.
   Web of Science ®Google Scholar
• Piccirillo, V., Balthazar, J. M., Pontes, B. R., & Felix, J. L. P. (2009). Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control: Part I: Ideal energy source. Nonlinear Dynamics, 55, 139–149.
   Web of Science ®Google Scholar
• Sheikhan, M., Shahnazi, R., & Garoucy, S. (2011). Synchronization of general chaotic systems using neural controllers with application to secure communication. Neural Computing and Applications, 22(2), 361–373.
   Web of Science ®Google Scholar
• Song, S., Zhang, B. Y., Song, X. N., & Zhang, Z. Q. (2019). Adaptive neuro-fuzzy backstepping dynamic surface control for uncertain fractional-order nonlinear systems. Neurocomputing, 360, 172–184.
   Web of Science ®Google Scholar
• Song, S., Zhang, B. Y., Song, X. N., Zhang, Y. J., Zhang, Z. Q., & Li, W. J. (2019). Fractional-order adaptive neuro-fuzzy sliding mode H∞ control for fuzzy singularly perturbed systems. Journal of the Franklin Institute, 356, 5027–5048.
   Web of Science ®Google Scholar
• Song, S., Zhang, B. Y., Xia, J. W., & Zhang, Z. Q. (2019). Adaptive backstepping hybrid fuzzy sliding mode control for uncertain fractional-order nonlinear systems based on finite-time scheme. IEEE Transactions on Systems, Man, and Cybernetics: Systems. Advance online publication. doi:10.1109/TSMC.2018.2877042
   Web of Science ®Google Scholar
• Sun, Z. Y., Zhu, W. Z., & Si, G. Q. (2013). Adaptive synchronization design for uncertain chaotic systems in the presence of unknown system parameters: A revisit. Nonlinear Dynamics, 72(4), 729–749.
   Web of Science ®Google Scholar
• Wang, Z. L. (2010). Chaos synchronization of an energy resource system based on linear control. Nonlinear Analysis: Real World Applications, 11, 3336–3343.
   Web of Science ®Google Scholar
• Yu, Y. G., & Li, H. X. (2010). Adaptive generalized function projective synchronization of uncertain chaotic systems. Nonlinear Analysis: Real World Applications, 11(4), 2456–2464.
   Web of Science ®Google Scholar
• Yu, H. T., Wong, Y. K., Chan, W. L., Tsang, K. M., & Wang, J. (2011). Feedback linearization control of chaos synchronization in coupled map-based neurons under external electrical stimulation. International Journal of Control, Automation and Systems, 9(5), 867–874.
   Web of Science ®Google Scholar
• Zhang, Z. Q., Park, J. H., & Shao, H. Y. (2015). Adaptive synchronization of uncertain unified chaotic systems via novel feedback controls. Nonlinear Dynamics, 81(2), 695–706.
   Web of Science ®Google Scholar
• Zhang, L. L., Wang, Y. H., & Wang, Q. R. (2015). Adaptive fuzzy synchronization for uncertain chaotic systems with different dimensions and disturbances. International Journal of Fuzzy Systems, 17(2), 309–320.
   Web of Science ®Google Scholar