Boundary energy-shaping control of an isothermal tubular reactor

References

• B. Maschke and A. van der Schaft, Port controlled Hamiltonian systems: modeling origins and system theoretic properties, in Nonlinear Control Systems (NOLCOS 1992), Proceedings of the 3rd IFAC Symposium on, Jun., Bordeaux, Pergamon Press Inc., Tarrytown, NY, 1992, pp. 282–288.
   Google Scholar
• A. van der Schaft, L2-Gain and Passivity Techniques in Nonlinear Control, Communication and Control Engineering, Springer–Verlag, London, 2000.
   Google Scholar
• V. Duindam, A. Macchelli, S. Stramigioli, and H. Bruyninckx, Modeling and Control of Complex Physical Systems: the Port-Hamiltonian Approach, Springer, Berlin, 2009.
   Google Scholar
• A. van der Schaft and D. Jeltsema, Port-Hamiltonian Systems Theory: An Introductory Overview, Foundations and Trends® in Systems and Control 1, Now Publishers Inc., Boston, MA, 2014, pp. 173–378.
   Google Scholar
• A. van der Schaft and B. Maschke, Hamiltonian formulation of distributed parameter systems with boundary energy flow, J. Geometry Phys. 42 (2002), pp. 166–194. doi:10.1016/S0393-0440(01)00083-3
   Web of Science ®Google Scholar
• A. Macchelli and B. Maschke, Modeling and control of complex physical systems: The port-Hamiltonian approach, in Chap. Infinite-Dimensional Port-Hamiltonian Systems, V. Duindam, A. Macchelli, S. Stramigioli, H. Bruyninckx, eds., Springer, Berlin, 2009, pp. 211–271.
   Google Scholar
• H. Rodriguez, A. van der Schaft, and R. Ortega, On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy shaping, in Decision and Control (CDC 2001). Proceedings of the 40th IEEE Conference on, Vol. 1, Institute of Electrical and Electronics Engineers, 2001, pp. 131–136.
   Google Scholar
• A. Macchelli and C. Melchiorri, Modeling and control of the Timoshenko beam. The distributed port Hamiltonian approach, SIAM J. Control. Optim. 43 (2005), pp. 743–767. doi:10.1137/S0363012903429530
   Web of Science ®Google Scholar
• A. Macchelli and C. Melchiorri, Control by interconnection of mixed port Hamiltonian systems, automatic control, IEEE Trans. 50 (2005), pp. 1839–1844.
   Google Scholar
• R. Pasumarthy and J. van der Schaft, Achievable Casimirs and its implications on control of port-Hamiltonian systems, Int. J. Control. 80 (2007), pp. 1421–1438. doi:10.1080/00207170701361273
   Web of Science ®Google Scholar
• A. Siuka, M. Sch¨oberl, and K. Schlacher, Port-Hamiltonian modelling and energy-based control of the Timoshenko beam, Acta Mech. 222 (2011), pp. 69–89. doi:10.1007/s00707-011-0510-2
   Web of Science ®Google Scholar
• A. Macchelli, Boundary energy shaping of linear distributed port-Hamiltonian Systems, in Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNLC 2012). Proceedings of the 4th IFAC Workshop on, Aug. 29–31, Bertinoro, IFAC, 2012.
   Google Scholar
• M. Sch¨oberl and A. Siuka, On Casimir functionals for infinite-dimensional port-Hamiltonian control systems, automatic control, IEEE Trans. 58 (2013), pp. 1823–1828.
   Google Scholar
• Y. Le Gorrec, A. Macchelli, H. Ram´ırez, and H. Zwart, Energy shaping of boundary controlled linear port Hamiltonian systems, in Proceedings of the 19th IFAC World Congress, Aug. 24–29, International Federation of Automatic Control, Cape Town International Convention Centre, Cape Town, South Africa, 2014, pp. 1580–1585.
   Google Scholar
• A. Macchelli, Boundary energy-shaping control of the shallow water equation, in Proceedings of the 19th IFAC World Congress, Aug. 24–29, International Federation of Automatic Control, Cape Town International Convention Centre, Cape Town, South Africa, 2014, pp. 1586–1591.
   Google Scholar
• R. Ortega, A. van der Schaft, I. Mareels, and B. Maschke, Putting energy back in control, Control Syst. Mag., IEEE (2001), pp. 18–33. doi:10.1109/37.915398
   Web of Science ®Google Scholar
• A. Macchelli, Passivity-based control of implicit port-Hamiltonian systems, SIAM J. Control. Optim. 52 (2014), pp. 2422–2448. doi:10.1137/130918228
   Web of Science ®Google Scholar
• R. Ortega, A. van der Schaft, B. Maschke, and G. Escobar, Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems, Automatica. 38 (2002), pp. 585–596.
   Web of Science ®Google Scholar
• Y. Le Gorrec, J. Villegas, H. Zwart, and B. Maschke, Dissipative boundary control systems with application to distributed parameters reactors, in Proceedings of the 2006 IEEE International Conference on Control Applications, Oct. 4–6, Munich, Institute of Electrical and Electronics Engineers, 2006.
   Google Scholar
• Y. Le Gorrec, H. Zwart, and B. Maschke, Dirac structures and boundary control systems associated with skew-symmetric differential operators, SIAM J. Control. Optim. 44 (2005), pp. 1864–1892. doi:10.1137/040611677
   Web of Science ®Google Scholar
• B. Jacob and H. Zwart, Linear Port-Hamiltonian Systems on Infinite-dimensional Spaces Operator Theory: Advances and Applications, Vol. 223, Birkha¨user, Basel, 2012.
   Google Scholar
• P. Danckwerts, Continuous flow systems: distribution of residence times, Chem. Eng. Sci. 2 (1953), pp. 1–13. doi:10.1016/0009-2509(53)80001-1
   Web of Science ®Google Scholar
• W. Zhou, B. Hamroun, Y. Le Gorrec, and F. Couenne, Infinite dimensional port Hamiltonian representation of chemical reactors, in Lagrangian and Hamiltonian Methods for Nonlinear Control (LHMNLC 2012). Proceedings of the 4th IFAC Workshop on, Aug. 29–31, Bertinoro, IFAC, 2012, pp. 1–6.
   Google Scholar
• V. Arnold, Mathematical Methods of Classical Mechanics Graduate Texts in Mathematics, Vol. 60, Springer–Verlag, New York, 1989.
   Google Scholar
• A. Macchelli, Y. Le Gorrec, and H. Ram´ırez, Asymptotic stabilisation of distributed port-Hamiltonian systems by boundary energy-shaping control, in Mathematical Modelling (MATHMOD 2015). Proceedings of the 8th International Conference on, Feb. 18–20, Vienna, 2015.
   Google Scholar
• A. Macchelli, Dirac structures on Hilbert spaces and boundary control of distributed port-Hamiltonian systems, Syst. Control. Lett. 68 (2014), pp. 43–50. doi:10.1016/j.sysconle.2014.03.005
   Web of Science ®Google Scholar
• A. Macchelli, Boundary energy shaping of linear distributed port-Hamiltonian systems, Eur. J. Control 19 (2013), pp. 521–528. doi:10.1016/j.ejcon.2013.10.002
   Web of Science ®Google Scholar
• H. Ram´ırez, Y. Le Gorrec, A. Macchelli, and H. Zwart, Exponential stabilization of boundary controlled port-Hamiltonian systems with dynamic feedback, automatic control, IEEE Trans. 59 (2014), pp. 2849–2855.
   Google Scholar
• Z. Luo, B. Guo, and O. Morgul, Stability and Stabilization of Infinite Dimensional Systems with Applications, Springer–Verlag, London, 1999.
   Google Scholar
• J. Villegas, A Port-Hamiltonian Approach to Distributed Parameter Systems, Ph.D. diss., University of Twente, Enschede, NL, 2007.
   Google Scholar