TWO NONLINEAR OBSERVERS BASED SLIDING MODE CONTROLLER FOR A MULTIVARIABLE CONTINUOUS STIRRED TANK REACTOR

Mokhtar Khenfer, Bachir Daaou, and Mohamed Bouhamida

References

  1. [1] M.P. Di Ciccio, M. Bottini, P. Pepe, and P.U. Foscolo, Observer-based nonlinear control law for a continuous stirred tank reactor with recycle, Chemical Engineering Science, 66, 2011, 4780–4797.
  2. [2] C.M. Florez and J. Villa, Sensor based state estimation for: Stirred tank reactors in chemical industry and for PMUs in angle controlled power systems. Sensors (IBERSENSOR), IEEE 9th Ibero-American Congress on Sensors, 2014, 1–4.
  3. [3] P. Dostal, M. Kubalcık, V. Bobal, and J. Vojtesek, Nonlinear adaptive control of a chemical reactor, Control & Automation (MED), 2011 19th Mediterranean Conference on Control Automation (MED), 2011, 600–605.
  4. [4] J. Mohd Ali, N. Ha Hoang, M.A. Hussain, and D. Dochain, Review and classification of recent observers applied in chemical process systems, Computers and Chemical Engineering, 76, 2015, 27–41.
  5. [5] R. Aris and N. R. Amundson, An analysis of chemical reactor stability and control-I: The possibility of local control, with perfect or imperfect control mechanisms, Chemical Engineering Science, 7(3), 1958, 121–131.
  6. [6] R. Aris and N. R. Amundson, An analysis of chemical reactor stability and control-II: The evolution of proportional control, Chemical Engineering Science, 7(3), 1958, 132–147.
  7. [7] R. Aris and N. R. Amundson, An analysis of chemical reactor stability and control-III: The principles of programming reactor calculations. Some extensions, Chemical Engineering Science, 7(3), 1958, 148–155.
  8. [8] J. Alvarez, Application of nonlinear system transformations to control design for a chemical reactor, IEE Proceedings D – Control Theory and Applications, 135(2), 1988, 90–94.
  9. [9] J. Zavacka, M. Bakosova and K. Matejikova, Robust PI controller design for a continuous stirred tank reactor with 42 multiple steady-states, International Conference on Process Control (PC), Slovakia, 2013, 468–473.
  10. [10] W. Chang, Nonlinear CSTR control system design using an artificial bee colony algorithm, Simulation Modelling Practice and Theory, 31, 2013, 1–9.
  11. [11] M. Bouhamida, B. Daaou, A. Mansouri, and M. Chenafa, Observer-based input-output linearization control of a multi-variable continuous chemical reactor, The Korean Mathematical Society, 49(3), 2012, 641–658.
  12. [12] M.J. Kurtz, M.A. Henson, Nonlinear output feedback control of chemical reactors, American Control Conference, Proceedings, 4, 1995, 2667–2671.
  13. [13] M. Li and P.D. Christofides, An input/output approach to the optimal transition control of a class of distributed chemical reactors, Proceedings of American Control Conference, 2007, 2042–2047.
  14. [14] F. Viel, F. Jadot, and G. Bastin, Global stabilization of exothermic chemical reactors under input constraints, Automatica, 33(8), 1997, 1437–1448.
  15. [15] H. Hoang, F. Couenne, C. Jallut, and Y. Le Gorrec, Thermodynamic approach for Lyapunov based control, IFAC Proceedings Volumes, 42(11), 2009, 357–362.
  16. [16] H. Hoang, F. Couenne, Y. Le Gorrec, and D. Dochain, Thermodynamics based stabilization of CSTR networks, 51st IEEE-CDC, Hawaii, USA, 2012, 6352–6357.
  17. [17] A. Favache and D. Dochain, Thermodynamics and chemical systems stability: The CSTR case study revisited, Journal of Process Control, 19(3), 2009, 371–379.
  18. [18] M. Primucci and M. Basualdo, Thermodynamic predictive functional control applied to CSTR with jacket system, IFAC Proceedings Volumes, 35(1), 2002, 361–366.
  19. [19] W. Zhou, B. Hamroun, F. Couenne, and Y. Le Gorrec, Generalized availability function for the control of Chemical Reactors, Proceedings of the 33rd Chinese Control Conference, China, 2014, 3505–3510.
  20. [20] J.P. Garcıa-Sandoval, V. Gonzalez-Alvarez, and C. Calderon, Stability analysis and passivity properties for a class of chemical reactors: Internal entropy production approach, Computers and Chemical Engineering, 75, 2015, 184–195.
  21. [21] R. Aguilar-Lopez and J. Alvarez-Ramirez, Sliding-mode control scheme for a class of continuous chemical reactors, IEE Proceedings – Control Theory and Applications, 149(4), 2002, 263–268.
  22. [22] B.J. Parvat and S.D. Ratnaparkhi, A second order sliding mode controller applications in industrial process, International Journal of Engineering Trends and Technology (IJETT), 19(4), 2015, 217–222.
  23. [23] D. Zhao, Q. Zhu, and J. Dubbeldam, Terminal sliding mode control for continuous stirred tank reactor, Chemical Engineering Research and Design, 94, 2015, 266–274.
  24. [24] C. Martinez-Chitoy, J. De Leon-Morales, and R. Martinez-Guerra, Estimation and nonlinear control of a class of continuous stirred tank reactors: A differential algebraic approach, Proceedings of the American Control Conference, 5, 1997, 3390–3394.
  25. [25] R. Aguilar, R. Martınez-Guerra, and A. Poznyak, Reaction heat estimation in continuous chemical reactors using high gain observers, Chemical Engineering Journal, 87(3), 2002, 351–356.
  26. [26] B. Daaou, A. Mansouri, M. Bouhamida, and M. Chenafa, A robust nonlinear observer for state variables estimation in multi-input multi-output chemical reactors, International Journal of Chemical Reactor Engineering, 6(1), 2008, 1–20.
  27. [27] R. Aguilar-Lopez, G. Soto-Cortes, M.I. Nerıa-Gonzalez, and R. Escarela-Perez, Tracking unmodelled signals of nonlinear systems via robust sliding mode observer: application to reacting systems, Journal of Applied Research and Technology, 5(1), 2007, 10–21.
  28. [28] R. Martinez-Guerra, R. Aguilar, and A. Poznyak, A new robust sliding-mode observer design for monitoring in chemical reactors, Journal of Dynamic Systems, Measurement and Control, 126(3), 2004, 473–478.
  29. [29] B.G. Osorio, H.B. Castro, and J.D. Sanchez Torres, State and unknown input estimation in a CSTR using higher-order sliding mode observer, Proc. IEEE Colombian Conf. Autom. Control Ind Appl., 2011, 1–5.
  30. [30] H.A. Botero, E. Jimenez-Rodrıguez, O. Jaramillo, and J.D.S. Torres, Robust estimation for a CSTR using a high order sliding mode observer and an observer-based estimator, Revista ION, 29(2), 2016, 101–112.
  31. [31] P.F. Puleston, F. Valenciaga, Chattering reduction in a geometric sliding mode method. A robust low-chattering controller for an autonomous wind system, Control and Intelligent Systems, 37(1), 2009, 39–45.
  32. [32] S. Lee, Y. Yee, and M. Park, An observer design for MIMO nonlinear systems, Transactions on Control, Automation, and Systems Engineering, 4(3), 2002, 189–194.
  33. [33] F. Plestan, J. Davins-Valldaura, S. Moussaoui, and G. Pita-Gil, Sliding mode observer design for the road curvature estimation in Traffic Jam Pilot system, 14th International Workshop on Variable Structure Systems, 2016, 302–307.
  34. [34] K.C. Veluvolu, Y.C. Soh, and W. Cao, Robust observer with sliding mode estimation for nonlinear uncertain systems, IET Control Theory & Applications, 1(5), 2007, 1533–1540.
  35. [35] V.I. Utkin, Sliding modes in control and optimization (Germany: Springer-Verlag Berlin, 1992).

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