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Shams, Zahra, Zarabadipour, hassan. (1402). Process Fault and Homoclinic explosion in the Lorenz system. نشریه مهندسی عمران امیرکبیر, 55(2), 201-214. doi: 10.22060/miscj.2024.21827.5304
Zahra Shams; hassan Zarabadipour. "Process Fault and Homoclinic explosion in the Lorenz system". نشریه مهندسی عمران امیرکبیر, 55, 2, 1402, 201-214. doi: 10.22060/miscj.2024.21827.5304
Shams, Zahra, Zarabadipour, hassan. (1402). 'Process Fault and Homoclinic explosion in the Lorenz system', نشریه مهندسی عمران امیرکبیر, 55(2), pp. 201-214. doi: 10.22060/miscj.2024.21827.5304
Shams, Zahra, Zarabadipour, hassan. Process Fault and Homoclinic explosion in the Lorenz system. نشریه مهندسی عمران امیرکبیر, 1402; 55(2): 201-214. doi: 10.22060/miscj.2024.21827.5304

Process Fault and Homoclinic explosion in the Lorenz system

AUT Journal of Modeling and Simulation
دوره 55، شماره 2، اسفند 2023، صفحه 201-214    اصل مقاله (1.32 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22060/miscj.2024.21827.5304
نویسندگان
Zahra Shams؛ hassan Zarabadipour*
Department of Electrical Engineering, Faculty of Engineering, Imam-Khomeini International University, Qazvin, Iran.
چکیده
This paper deals with the problem of process faults in the Lorenz system that can affect any of the system parameters and cause the system to exhibit various behaviors. In this paper, the homoclinic orbits in the Lorenz system are described and then the occurrence of process faults in the system is investigated that can cause a homoclinic explosion, bifurcation, change of fixed point, or even instability in the system. In such systems, where a small change in one of the parameters causes large changes in the behavior of the system, to prevent disaster in industrial systems and also to stop the propagation of faults in the system, the faults must be identified as soon as possible. In this paper, the states in the system are estimated by using a reduced-order observer, and the faults are detected. The purpose of this article is to recognize the change in behavior of this system in the face of this type of fault and to express the importance of timely detection and identification of faults in the system so as not to lead to failure and disaster in industrial systems. Finally, the effect of process fault, disturbance, and sensor fault are investigated simultaneously and the states and faults in the system are estimated.
کلیدواژه‌ها
Process fault؛ Estimation؛ Homoclinic explosion؛ Bifurcation؛ Chaotic Lorenz system
مراجع
  1. Liu, C., et al., Hierarchical-structure-based fault estimation and fault-tolerant control for multiagent systems. IEEE Transactions on Control of Network Systems, 2018. 6(2): p. 586--597.
  2. Kordestani, M., et al., Failure prognosis and applications—A survey of recent literature. IEEE transactions on reliability, 2019. 70(2): p. 728-748.
  3. Ding, S.X., Model-based fault diagnosis techniques: design schemes, algorithms, and tools. 2008.
  4. Doraiswami, R., C.P. Diduch, and J. Tang, A new diagnostic model for identifying parametric faults. IEEE transactions on control systems technology, 2009. 18(3): p. 533--544.
  5. Ma, L., et al., Fault tolerant control for a class of nonlinear system with actuator faults. Asian Journal of Control, 2021. 23(1): p. 474--485.
  6. Zhu, J.-W., et al., Fault estimation for a class of nonlinear systems based on intermediate estimator. IEEE Transactions on Automatic Control, 2015. 61(9): p. 2518--2524.
  7. Boem, F., et al., Distributed fault detection for interconnected large-scale systems: A scalable plug \& play approach. IEEE Transactions on Control of Network Systems, 2018. 6(2): p. 800--811.
  8. Han, J., et al., Fault estimation and fault-tolerant control for switched fuzzy stochastic systems. IEEE Transactions on Fuzzy Systems, 2018. 26(5): p. 2993--3003.
  9. Zhang, L., et al., Observer-based adaptive decentralized fault-tolerant control of nonlinear large-scale systems with sensor and actuator faults Nonlinear robust fault reconstruction and estimation using a sliding mode observer. IEEE Transactions on Industrial Electronics, 2018. 66(10): p. 8019--8029.
  10. Mu, Y., et al., Integrated design of robust fault estimation and fault-tolerant control against simultaneous actuator and sensor faults. Asian Journal of Control, 2021. 23(1): p. 341--350.
  11. Patton, R.J., P.M. Frank, and R.N. Clark, Issues of fault diagnosis for dynamic systems. 2013.
  12. Yan, X.-G. and C. Edwards, Nonlinear robust fault reconstruction and estimation using a sliding mode observer. Automatica, 2007. 43(9): p. 1605-1614.
  13. Zhang, X., M.M. Polycarpou, and T. Parisini, Fault diagnosis of a class of nonlinear uncertain systems with Lipschitz nonlinearities using adaptive estimation. Automatica, 2010. 46(2): p. 290--299.
  14. Li, L., et al., Diagnostic observer design for TS fuzzy systems: Application to real-time-weighted fault-detection approach. IEEE Transactions on Fuzzy Systems, 2017. 26(2): p. 805--816.
  15. Mehdi, R. and S. Zahra, Robust L1 observer design and circuit implementation for a class of faulty nonlinear systems. International Journal of Systems Science, 2023. 54(1): p. 113-123.
  16. Fault detection and isolation of gas turbine engine using inversion-based and optimal state observers. European Journal of Control, 2020. 56: p. 206-217.
  17. Youssef, T., et al., Actuator and sensor faults estimation based on proportional integral observer for TS fuzzy model. Journal of the Franklin Institute, 2017. 354(6): p. 2524--2542.
  18. Garca, C.M., et al., Robust fault estimation based on interval Takagi-Sugeno unknown input observer. IFAC-PapersOnLine, 2018. 51(24): p. 508--514.
  19. Alia, R.S., C.S. Susan, and E.Y. Edwin, State Estimation in the Presence of Intermittent Actuator Faults. IFAC-PapersOnLine, 2020. 53(2): p. 2403-2408.
  20. Shams, Z. and A. Shahmansoorian, Fault estimation based on observer for chaotic Lorenz system with bifurcation problem. Transactions of the Institute of Measurement and Control, 2020. 42(3): p. 576--585.
  21. Lorenz, E.N., Deterministic nonperiodic flow. Journal of atmospheric sciences, 1963. 20(2): p. 130--141.
  22. Chen, G. and T. Ueta, Yet another chaotic attractor. Internat J Bifur Chaos, 1999. 9: p. 1465-6.
  23. Bridge the gap between the Lorenz system and the Chen system. International Journal of Bifurcation and Chaos, 2002. 12(12): p. 2917--2926.
  24. Pecora, L.M. and T.L. Carroll, Synchronization of chaotic systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015. 25(9): p. 097611.
  25. Nayfeh, A.H. and B. Balachandran, Applied nonlinear dynamics: analytical, computational, and experimental methods. 2008.
  26. Hilborn, R.C. and et al., Chaos and nonlinear dynamics: an introduction for scientists and engineers. 2000.
  27. Li, C., J.C. Sprott, and W. Thio, Linearization of the Lorenz system. Physics Letters A, 2015. 379(10-11): p. 888--893.
  28. Gao, R., A novel track control for Lorenz system with single state feedback. Chaos, Solitons \& Fractals, 2019. 122: p. 236--244.
  29. Luo, R., H. Su, and Y. Zeng, Chaos control and synchronization via switched output control strategy. Complexity, 2017. 2017.
  30. Mekircha, N., A. Boukabou, and N. Mansouri, Fuzzy control of original UPOs of unknown discrete chaotic systems. Applied Mathematical Modelling, 2012. 36(10): p. 5135--5142.
  31. Mohammadpour, S. and T. Binazadeh, Robust finite-time synchronization of uncertain chaotic systems: application on Duffing-Holmes system and chaos gyros. Systems Science \& Control Engineering, 2018. 6(1): p. 28--36.
  32. Strogatz, S.H., Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. 2018.
  33. Hateley, J., The lorenz system. Lecture Notes,http: //web.math.ucsb.edu/jhate-ley/paper/lorenz.pdf 2019.
  34. Doedel, E.J., B. Krauskopf, and H.M. Osinga, Global invariant manifolds in the transition to preturbulence in the Lorenz system. Indagationes Mathematicae, 2011. 22(3-4): p. 222--240.
  35. Han, J., et al., Robust state/fault estimation and fault tolerant control for TS fuzzy systems with sensor and actuator faults. Journal of the Franklin Institute, 2016. 353(2): p. 615--641.
  36. Barrio, R., A. Shilnikov, and L. Shilnikov, Kneadings, symbolic dynamics and painting Lorenz chaos. International Journal of Bifurcation and Chaos, 2012. 22(04): p. 1230016.
  37. Boeing, G., Visual analysis of nonlinear dynamical systems: chaos, fractals, self-similarity and the limits of prediction. Systems, 2016. 4(4): p. 37.
  38. Chen, W. and M. Saif, Fuzzy nonlinear unknown input observer design with fault diagnosis applications. Journal of Vibration and Control, 2010. 16(3): p. 377--401.
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