Passivity based on synchronization of T-S fuzzy energy resources system

Volume 25, Issue 3, pp 269--283 http://dx.doi.org/10.22436/jmcs.025.03.06

Publication Date: July 03, 2021 Submission Date: April 17, 2021 Revision Date: April 29, 2021 Accteptance Date: June 17, 2021

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Authors

V. Vembarasan - Assistant Professor, Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam- 603103, Chengalpattu, Tamil Nadu, India.

Abstract

This paper investigates the use of Takagi-Sugeno fuzzy and passive control techniques to synchronize a four-dimensional energy resource system. A passivity-based fuzzy controller is designed to synchronize the two identical four-dimensional energy resource systems using an effective Lyapunov function and linear matrix inequality approach. Finally, computational and simulation results are presented to show the benefits of the proposed findings.

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Keywords

• Synchronization
• energy resource system
• passivity
• T-S fuzzy control
• linear matrix inequality

MSC

•  93C95
•  93D05
•  93D25

References

• [1] O. Ababneh, Adaptive synchronization and anti-synchronization of fractional order chaotic optical systems with uncertain parameters, J. Math. Computer Sci., 23 (2021), 302--314
  • Google Scholar


• [2] C. K. Ahn, A passivity approach to synchronization for time-delayed chaotic systems, Mod. Phys. Lett. B, 23 (2009), 3531--3541
  • View Article
  • Google Scholar


• [3] C. K. Ahn, Passive learning and input-to-state stability of switched Hopfield neural networks with time-delay, Inf. Sci., 180 (2010), 4582--4594
  • View Article
  • Google Scholar


• [4] A. Arenas, A. D. Guilera, J. Kurths, Y. Moreno, C. Zhou, Synchronization in complex networks, Phys. Rep., 469 (2008), 93--153
  • View Article
  • Google Scholar


• [5] W. Assawinchaichote, S. Junhom, $H_\infty$ fuzzy controller design for HIV/AIDS infection system with dual drug dosages via an LMI approach, Int. J. Energy, 5 (2011), 27--33
  • Google Scholar


• [6] S. Bououden, M. Chadli, S. Filali, A. E. Hajjaji, Fuzzy model based multivariable predictive control of a variable speed wind turbine: LMI approach, Renew. Energy, 37 (2012), 434--439
  • View Article
  • Google Scholar


• [7] S. Boyd, L. E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, SIAM, Philadelphia (1994)
  • View Article
  • Google Scholar


• [8] G. Calcev, R. Gorez, M. D. Neyer, Passivity approach to fuzzy control systems, Automatica, 34 (1998), 339--344
  • View Article
  • Google Scholar


• [9] C. K. Chen, J. J. Yan, T. L. Liao, Sliding mode control for synchronization of Rossler systems with time delays and its application to secure communication, Phys. Scr., 76 (2007), 12 pages
  • View Article
  • Google Scholar


• [10] T. S. Chiang, P. Liu, Robust output tracking control for discrete-time nonlinear systems with time-varying delay: Virtual fuzzy model LMI-based approach, Expert Syst. Appl., 39 (2012), 8239--8247
  • View Article
  • Google Scholar


• [11] L. O. Chua, Passivity and complexity, IEEE Trans. Circuits Syst. I. Fundam. Theory Appl., 46 (1999), 71--82
  • View Article
  • Google Scholar


• [12] G. Feng, A survey on analysis and design of model-based fuzzy control systems, IEEE Trans. Fuzzy Syst., 14 (2006), 676--697
  • View Article
  • Google Scholar


• [13] J. M. Gonzalez-Miranda, Synchronization and control of chaos: an introduction for scientists and engineers, Imperial College Press, London (2004)
  • View Article
  • Google Scholar


• [14] K. Gu, V. L. Kharitonov, J. Chen, Stability of Time-Delay Systems, Birkhäuser, Boston (2003)
  • View Article
  • Google Scholar


• [15] D. J. Hill, P. J. Moylan, Stability results for nonlinear feedback systems, Automatica, 13 (1977), 377--382
  • View Article
  • Google Scholar


• [16] C. F. Huang, K. H. Cheng, J. J. Yan, Robust chaos synchronization of four-dimensional energy resource systems subject to unmatched uncertainties, Commun. Nonlinear Sci. Numer. Simul., 14 (2009), 2784--2792
  • View Article
  • Google Scholar


• [17] E. Kamal, A. Aitouche, R. Ghorbani, M. Bayart, Robust nonlinear control of wind energy conversion systems, Int. J. Elec. Power Energy Syst., 44 (2013), 202--209
  • View Article
  • Google Scholar


• [18] M. A. Khan, M. Abid, N. Ahmed, A. Wadood, H. Park, Nonlinear control design of a half-car model using feedback linearization and an LQR controller, Appl. Sci., 10 (2020), 17 pages
  • View Article
  • Google Scholar


• [19] D. Khiar, J. Lauber, T. Floquet, G. Colin, T. M. Guerra, Y. Chamaillard, Robust Takagi-Sugeno fuzzy control of a spark ignition engine, Control Eng. Pract., 15 (2007), 1446--1456
  • View Article
  • Google Scholar


• [20] K. Y. Lian, T. S. Chiang, C. S. Chiu, P. Liu, Synthesis of fuzzy model-based designs to synchronization and secure communications for chaotic systems, IEEE Trans. Fuzzy Syst., 31 (2001), 66--83
  • View Article
  • Google Scholar


• [21] K. Y. Lian, C. S. Chiu, T. S. Chiang, P. Liu, LMI-based fuzzy chaotic synchronization and communications, IEEE Trans. Fuzzy Syst., 9 (2001), 539--553
  • View Article
  • Google Scholar


• [22] K. Y. Lian, P. Liu, T. C. Wu, W. C. Lin, Chaos control using fuzzy model-based methods, Int. J. Bifurcat. Chaos, 12 (2002), 1827--1841
  • View Article
  • Google Scholar


• [23] P. Liu, W. T. Yang, C. E. Yang, Robust observer-based output feedback control for fuzzy descriptor systems, Expert Syst. Appl., 40 (2013), 4503--4510
  • View Article
  • Google Scholar


• [24] R. Lozano, B. Brogliato, O. Egeland, B. Maschke, Dissipative Systems Analysis and Control, Springer, New York (2000)
  • View Article
  • Google Scholar


• [25] J. L. M. Machuca, R. M. Guerra, R. A. Lopez, C. A. Ibanez, A chaotic system in synchronization and secure communications, Commun. Nonlinear Sci. Numer. Simul., 17 (2012), 1706--1713
  • View Article
  • Google Scholar


• [26] M. Manikandan, K. Ratnavelu, P. Balasubramaniam, S. H. Ong, Synchronization of BAM Cohen-Grossberg FCNNs with mixed time delays, Iran. J. Fuzzy Syst., 18 (2021), 159--173
  • View Article
  • Google Scholar


• [27] M. Manikandan, K. Ratnavelu, P. Balasubramaniam, S. H. Ong, Synchronization of Cohen-Grossberg fuzzy cellular neural networks with time-varying delays, Int. J. Nonlinear Sci. Numer. Simul., 22 (2021), 45--58
  • Google Scholar


• [28] E. Onieva, J. Godoy, J. Villagra, V. Milanes, J. Perez, On-line learning of a fuzzy controller for a precise vehicle cruise control system, Expert Syst. Appl., 40 (2013), 1046--1053
  • View Article
  • Google Scholar


• [29] A. Othman Almatroud, O. Ababneh, M. Mossa Al-sawalha, Modify adaptive combined synchronization of fractional order chaotic systems with fully unknown parameters, J. Math. Computer Sci., 21 (2020), 99--112
  • View Article


• [30] L. M. Pecora, T. L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett., 64 (1990), 821--825
  • View Article
  • Google Scholar


• [31] R. E. Precup, H. Hellendoorn, A survey on industrial applications of fuzzy control, Comput. Ind., 62 (2011), 213--226
  • View Article
  • Google Scholar


• [32] R. E. Precup, M. L. Tomescu, M. B. Radac, E. M. Petriu, S. Preitl, C. A. Dragos, Iterative performance improvement of fuzzy control systems for three tank systems, Expert Syst. Appl., 39 (2012), 8288--8299
  • View Article
  • Google Scholar


• [33] X. Shi, Z. Wang, Robust chaos synchronization of four-dimensional energy resource system via adaptive feedback control, Nonlinear Dynam., 60 (2010), 631--637
  • View Article
  • Google Scholar


• [34] M. Sun, Q. Jia, L. Tian, A new four-dimensional energy resources system and its linear feedback control, Chaos Solitons Fract., 39 (2009), 101--108
  • View Article
  • Google Scholar


• [35] M. Sun, L. Tian, Y. Fu, An energy resources demand-supply system and its dynamical analysis, Chaos Solitons Fract., 32 (2007), 168--180
  • View Article
  • Google Scholar


• [36] M. Sun, L. Tian, Q. Jia, Adaptive control and synchronization of a four-dimensional energy resources system with unknown parameters, Chaos Solitons Fract., 39 (2009), 1943--1949
  • View Article
  • Google Scholar


• [37] M. Sun, L. Tian, J. Yin, Hopf bifurcation analysis of the energy resource chaotic system, Int. J. Nonlinear Sci., 1 (2006), 49--53
  • View Article
  • Google Scholar


• [38] M. Sun, L. Tian, C. Zeng, The energy resources system with parametric perturbations and its hyperchaos control, Nonlinear Anal. Real World Appl., 10 (2009), 2620--2626
  • View Article
  • Google Scholar


• [39] M. Sun, X. Wang, Y. Chen, L. Tian, Energy resources demand-supply system analysis and empirical research based on non-linear approach, Energy, 36 (2011), 5460--5465
  • View Article
  • Google Scholar


• [40] Y. Sun, Z. Wei, G. Sun, P. Ju, S. Huang, Robust stabilization and synchronization of nonlinear energy resource system via fuzzy control approach, Int. J. Fuzzy Syst., 14 (2012), 337--343
  • View Article
  • Google Scholar


• [41] Y. Sun, Z. Wei, G. Sun, P. Ju, Y. Wei, Stochastic synchronization of nonlinear energy resource system via partial feedback control, Nonlinear Dyn., 70 (2012), 2269--2278
  • View Article
  • Google Scholar


• [42] T. Takagi, M. Sugeno, Fuzzy identification of systems and its applications to modelling and control, IEEE Trans. Syst. Man Cybern. Syst., 15 (1995), 116--132
  • View Article
  • Google Scholar


• [43] K. Tanaka, M. Sano, A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer, IEEE Trans. Fuzzy Syst., 2 (1994), 119--134
  • View Article
  • Google Scholar


• [44] T. Tanaka, H. O. Wang, Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach, Wiley, New York (2001)
  • View Article
  • Google Scholar


• [45] H. D. Tuan, P. Apkarian, T. Narikiyo, Y. Yamamoto, Parameterized linear matrix inequality techniques in fuzzy control system design, IEEE Trans. Fuzzy Syst., 9 (2001), 324--332
  • View Article
  • Google Scholar


• [46] V. Vembarasan, P. Balasubramaniam, Chaotic synchronization of Rikitake system based on T-S fuzzy control techniques, Nonlinear Dynam., 74 (2013), 31--44
  • View Article
  • Google Scholar


• [47] Z. Wang, Chaos synchronization of an energy resource system based on linear control, Nonlinear Anal. Real World Appl., 11 (2010), 3336--3343
  • View Article
  • Google Scholar


• [48] Z. Wang, X. Shi, Synchronization of a four-dimensional energy resource system via linear control, Commun. Nonlinear Sci. Numer. Simul., 16 (2011), 463--474
  • View Article
  • Google Scholar


• [49] Y. Wen, Passive equivalence of chaos in Lorenz system, IEEE Trans. Circuits Syst. I. Fundam. Theory Appl., 46 (1999), 876--878
  • View Article
  • Google Scholar


• [50] S. J. Wu, Affine TS-model-based fuzzy regulating/servo control desig, Fuzzy Sets Syst., 158 (2007), 2288--2305
  • View Article
  • Google Scholar


• [51] X. J. Wu, J. S. Liu, G. R. Chen, Chaos synchronization of Rikitake chaotic attractor using the passive control technique, Nonlinear Dyn., 53 (2008), 45--53
  • View Article
  • Google Scholar


• [52] K. Wu, C. Ren, Control and stability analysis of double time-delay active suspension based on particle swarm optimization, Shock Vib., 216 (2010), 1605--1613
  • View Article
  • Google Scholar


• [53] A. A. Zaher, A. A. Rezq, On the design of chaos-based secure communication systems, Commun. Nonlinear Sci. Numer. Simul., 16 (2011), 3721--3737
  • View Article
  • Google Scholar


• [54] X. Zhou, B. Kong, H. Ding, Synchronization and anti-synchronization of a new hyperchaotic Lu system with uncertain parameters via the passive control technique, Phys. Scr., 85 (2012), 11 pages
  • View Article
  • Google Scholar