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Original Articles

LQ (optimal) control of hyperbolic PDAEs

, , &
Pages 2156-2166 | Received 09 Jun 2013, Accepted 08 Mar 2014, Published online: 07 Apr 2014

References

  • Aksikas, I., Fuxman, A., Forbes, J.F., & Winkin, J. (2009). LQ control design of a class of hyperbolic PDE systems: Application to fixed-bed reactor. Automatica, 45, 1542–1548.
  • Aksikas, I., Winkin, J., & Dochain, D. (2007). Optimal LQ-feedback regulation of a nonisothermal plug flow reactor model by spectral factorization. IEEE Transactions on Automatic Control, 52, 1179–1193.
  • Aksikas, I., Winkin, J.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, 897–908.
  • Alizadeh Moghadam, A., Aksikas, I., Dubljevic, S., & Forbes, J.F. (2013). Boundary optimal (LQ) control of coupled hyperbolic PDEs and ODEs. Automatica, 49, 526–533.
  • Bensoussan, A., Prato, G.D., Delfour, M.C., & Mitter, K. (2007). Representation and control of infinite-dimensional systems, systems and control: Foundations & applications. Boston, MA: Birkhäuser.
  • Christofides, P.D. (2001). Nonlinear and robust control of PDE systems: Methods and applications to transport-reaction processes. Boston, MA: Birkhäuser.
  • Christofides, P.D., & Daoutidis, P. (1996). Feedback control of hyperbolic PDE systems. AICHE Journal, 42, 3063–3086.
  • Curtain, R.F., & Zwart, H.J. (1995). An introduction to infinite-dimensional linear systems theory. New York, NY: Springer-Verlag.
  • Hale, J.K., & Lunel, S.M. (1993). Introduction to functional differential equations. New York, NY: Springer.
  • Kato, T. (1966). Perturbation theory for linear operators. New York, NY: Springer-Verlag.
  • Krstic, M., & Smyshlyaev, A. (2008). Boundary control of PDEs: A course on backstepping designs. Philadelphia, PA: Society for Industrial and Applied Mathematics.
  • Luo, Z., Guo, B., & Morgul, O. (1999). Stability and stabilization of infinite dimensional systems with applications. London: Springer-Verlag.
  • Noeres, C., Kenig, E., & Górak, A. (2003). Modelling of reactive separation processes: Reactive absorption and reactive distillation. Chemical Engineering and Processing, 42, 157–178.
  • Orlov, Y. (2000). Discontinuous unit feedback control of uncertain infinite-dimensional systems. IEEE Transactions on Automatic Control, 45, 834–843.
  • Orlov, Y.V., & Utkin, V.I. (1987). Sliding mode control in indefinite-dimensional systems. Automatica, 23, 753–757.
  • Process Systems Enterprise. (1997–2012). gPROMS. http://www.psenterprise.com
  • Ray, W.H. (1980). Advanced process control. New York, NY: McGraw-Hill.
  • Rhee, H.K., Aris, R., & Amundson, N.R. (1986). First-order partial differential equations (Vol. I,II). Englewood Cliffs, NJ: Prentice-Hall.
  • Shang, H., Forbes, J.F., & Guay, M. (2004). Model predictive control for quasilinear hyperbolic distributed parameter systems. Industrial and Engineering Chemistry Research, 43, 2140–2149.
  • Winkin, J., Dochain, D., & Ligarius, P. (2000). Dynamical analysis of distributed parameter tubular reactors. Automatica, 36, 349–361.

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