Spectral-based optimal output-feedback boundary control of a cracking catalytic reactor PDE model

References

• Ahmed-Ali, T., Giri, F., Krstic, M., & Lamnabhi-Lagarrigue, F. (2015). Observer design for a class of nonlinear ODE–PDE cascade systems. Systems & Control Letters, 83, 19–27. https://doi.org/10.1016/j.sysconle.2015.06.003
   Web of Science ®Google Scholar
• Aksikas, I. (2020). Duality-based optimal compensator for boundary control hyperbolic PDEs system : Application to a tubular cracking reactor. Journal of the Franklin Institute, 357(14), 9692–9708. https://doi.org/10.1016/j.jfranklin.2020.07.033
   Web of Science ®Google Scholar
• Aksikas, I. (2021a). Optimal control and duality-based observer design for a hyperbolic PDEs system with application to fixed-bed reactor. International Journal of Systems Science, 52(12), 2493–2504. https://doi.org/10.1080/00207721.2021.1890856
   Web of Science ®Google Scholar
• Aksikas, I. (2021b). Optimal output-feedback temperature regulation of a catalytic reverse flow reactor PDEs model. Journal of Process Control, 103, 1–7. https://doi.org/10.1016/j.jprocont.2021.05.004
   Web of Science ®Google Scholar
• Aksikas, I., Mohammadi, L., Forbes, J. F., Belhamadia, Y., & Dubljevic, S. (2013). Optimal control of an advection-dominated catalytic fixed-bed reactor with catalyst deactivation. Journal of Process Control, 23(10), 1508–1514. https://doi.org/10.1016/j.jprocont.2013.09.016
   Web of Science ®Google Scholar
• Aksikas, I., Winkin, J. J., & Dochain, D. (2004). Stability analysis of an infinite-dimensional linearised plug flow reactor model. In The 43rd IEEE Conference on Decision and Control, (Vol. 4, pp. 2417–2422). IEEE.
   Google Scholar
• Aksikas, I., Winkin, J., & Dochain, D. (2008). Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems. ESAIM: Control, Optimisation and Calculus of Variations, 14(4), 897–908.
   Web of Science ®Google Scholar
• Bensoussan, A., Da Prato, G., Delfour, M. C., & Mitter, S. K. (2007). Representation and control of infinite dimensional systems (2nd ed.). Birkhauser.
   Google Scholar
• Bošković, D. M., Balogh, A., & Krstić, M. (2003). Backstepping in infinite dimension for a class of parabolic distributed parameter systems math. Control Signals Systems, 16(1), 44–75. https://doi.org/10.1007/s00498-003-0128-6
   Web of Science ®Google Scholar
• Bošković, D. M., & Krstić, M. (2002). Backstepping control of chemical tubular reactors. Computers & Chemical Engineering, 26(7-8), 1077–1085. https://doi.org/10.1016/S0098-1354(02)00026-1
   Web of Science ®Google Scholar
• Bounit, H., & Hammouri, H. (1997). Observers for infinite-dimensional bilinear systems. European Journal of Control, 3(4), 325–339. https://doi.org/10.1016/S0947-3580(97)70090-6
   Web of Science ®Google Scholar
• Christofides, P. D. (1998). Robust control of parabolic PDE systems. Chemical Engineering Science, 53(16), 2949–2965. https://doi.org/10.1016/S0009-2509(98)00091-8
   Web of Science ®Google Scholar
• Christofides, P. D. (2001). Nonlinear and robust control of partial differential equation systems: Methods and application to transport-reaction processes. Birkhauser.
   Google Scholar
• Christofides, P. D., & Daoutidis, P. (1996). Feedback control of hyperbolic PDE systems. AICHE Journal, 42(11), 3063–3086. https://doi.org/10.1002/aic.v42:11
   Web of Science ®Google Scholar
• Curtain, R. F., & Zwart, H. J. (1995). An introduction to infinite-dimensional linear systems theory. Springer-Verlag.
   Google Scholar
• De Monte, F. (2002). An analytic approach to the unsteady heat conduction processes in one-dimensional composite media. International Journal of Heat and Mass Transfer, 45( 6), 1333–1343. https://doi.org/10.1016/S0017-9310(01)00226-5
   Web of Science ®Google Scholar
• Deutscher, J. (2013). Finite-dimensional dual state feedback control of linear boundary control system. International Journal of Control, 86(1), 41–53. https://doi.org/10.1080/00207179.2012.717723
   Web of Science ®Google Scholar
• Dochain, D. (2016). Analysis of the multiplicity of equilibrium profiles in tubular reactor models. IFAC-PaperOnLine, 49(18), 903–908. https://doi.org/10.1016/j.ifacol.2016.10.281
   Google Scholar
• Dubljevic, S., & Christofides, P. D. (2006). Predictive control of parabolic PDEs with boundary control actuation. Chemical Engineering Science, 61 (18),6239–6248. https://doi.org/10.1016/j.ces.2006.05.041
   Web of Science ®Google Scholar
• Dubljevic, S., El-Farra, N. E., Mhaskar, P., & Christofides, P. D. (2006). Predictive control of parabolic PDEs with state and control constraints. International Journal of Robust and Nonlinear Control, 16 ( 16),749–772. https://doi.org/10.1002/rnc.v16:16
   Web of Science ®Google Scholar
• Gary, J. H., & Handwerk, G. E. (2001). Petroleum refining: Technology and economics (4th ed.). CRC Press.
   Google Scholar
• Hanczyz, E. M., & Palazoglu, A. (1995). Sliding mode control of nonlinear distributed parameter chemical processes. Industrial & Engineering Chemistry Research, 34 ( 2), 557–566. https://doi.org/10.1021/ie00041a016
   Web of Science ®Google Scholar
• Khatibi, S., Cassol, G. O., & Dubljevic, S. (2021). Model predictive control of a non-isothermal axial dispersion tubular reactor with recycle. Computers & Chemical Engineering, 145, 107159. https://doi.org/10.1016/j.compchemeng.2020.107159
   Web of Science ®Google Scholar
• Li, M., & Christofides, P. D. (2008). Optimal control of diffusion–convection–reaction processes using reduced-order models. Computer And Chemical Engineering, 32(9), 2123–2135. https://doi.org/10.1016/j.compchemeng.2007.10.018
   Web of Science ®Google Scholar
• Liu, Y., Chen, X., Mei, Y., & Wu, Y. (2022). Observer-based boundary control for an asymmetric output-constrained flexible robotic manipulator. Science China Information Sciences, 65(3), 139203. https://doi.org/10.1007/s11432-019-2893-y
   Web of Science ®Google Scholar
• Liu, Y., Guo, F., He, X., & Hui, Q. (2019). Boundary control for an axially moving system with input restrictions based on disturbance observers. IEEE Transactions on Systems Man and Cybernetics: Systems, 49(11), 2242–2253. https://doi.org/10.1109/TSMC.6221021
   Web of Science ®Google Scholar
• Moghadam, A. A., Aksikas, I., Dubljevic, S., & Forbes, J. F. (2012). Infinite-dimensional LQ control of a dimethyl ether (DME) catalytic distillation column. Journal of Process Control, 22(9), 1655–1669. https://doi.org/10.1016/j.jprocont.2012.06.018
   Web of Science ®Google Scholar
• Mohammadi, L., Aksikas, I., Dubljevic, S., & Forbes, J. F. (2012). LQ-boundary control of a diffusion-convection-reaction system. International Journal of Control, 85(2), 171–181. https://doi.org/10.1080/00207179.2011.642308
   Web of Science ®Google Scholar
• Pakravesh, H., Aksikas, I., Votsmeier, M., Dubljevic, S., Hayes, R. E., & Forbes, J. F. (2016). Characteristics-based model predictive control of selective catalytic reduction in diesel-powered vehicles. Journal of Process Control, 47, 98–110. https://doi.org/10.1016/j.jprocont.2016.09.008
   Web of Science ®Google Scholar
• Ray, W. H. (1981). Advanced process control. McGraw Hill.
   Google Scholar
• Reyes, H. A. F., Schaum, A., Meurer, T., & Alvarez, J. (2020). Stabilization of an unstable tubular reactor by nonlinear passive output feedback control. Journal of Process Control, 93, 83–96. https://doi.org/10.1016/j.jprocont.2020.07.005
   Web of Science ®Google Scholar
• Shang, H., Forbes, J. F., & Guay, M. (2000). Feedback control of hyperbolic PDE systems. In: Advanced control of chemical processes. IFAC.
   Google Scholar
• Sira-Ramirez, H. (1989). Distributed sliding mode control is systems described by quasilinear partial differential equations. Systems and Control Letters, 13(2), 177–181. https://doi.org/10.1016/0167-6911(89)90036-4
   Web of Science ®Google Scholar
• Smyshlyaev, A., & Krstic, M. (2005). Backstepping observers for a class of parabolic PDEs. Systems & Control Letters, 54(7), 613–625. https://doi.org/10.1016/j.sysconle.2004.11.001
   Web of Science ®Google Scholar
• Varma, A., & Amundson, N. R. (1973). Some observations on uniqueness and multiplicity of steady states in non-adiabatic chemically reacting systems. The Canadian Journal of Chemical Engineering, 51(2), 206–226. https://doi.org/10.1002/cjce.v51:2
   Web of Science ®Google Scholar
• Vries, D., Keesman, K. J., & Zwart, H. (2007). A Luenberger observer for infinite-dimensional bilinear system: A UV disinfection example. In Symposium on system, structure and control IFAC.
   Google Scholar
• Weekman V. W., Jr. (1969). Kinetics and dynamics of catalytic cracking selectivity in fixed bed reactors. Industrial and Engineering Chemistry Process Design and Development, 8(3), 385–391. https://doi.org/10.1021/i260031a015
   Google Scholar
• Xu, C. Z., Ligaius, P., & Gauthier, J. P. (1995). An observer for infinite-dimensional dissipative bilinear systems. Computers & Mathematics with Applications, 29(7), 13–21. https://doi.org/10.1016/0898-1221(95)00014-P
   Web of Science ®Google Scholar
• Zhou, W., Hamroun, B., Le Gorrec, Y., & Couenne, F. (2015). Lyapunov based nonlinear control of tubular chemical reactors. IFAC-PapersOnLine, 48(8), 1045–1050. https://doi.org/10.1016/j.ifacol.2015.09.106
   Google Scholar