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Discrete-time output observers for boundary control systems

International Journal of Applied Mathematics and Computer Science's Cover Image
International Journal of Applied Mathematics and Computer Science
Advanced Machine Learning Techniques in Data Analysis (special section, pp. 549-611), Maciej Kusy, Rafał Scherer, and Adam Krzyżak (Eds.)
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Bartecki, K. (2020). Approximate state-space and transfer function models for 2×2 linear hyperbolic systems with collocated boundary inputs, International Journal of Applied Mathematics and Computer Science 30(3): 475–491, DOI: 10.34768/amcs-2020-0035. Search in Google Scholar

Cheng, A. and Morris, K. (2003). Well-posedness of boundary control systems, SIAM Journal on Control and Optimization 42(4): 1244–1265.10.1137/S0363012902384916 Search in Google Scholar

Curtain, R. and Oostveen, J. (1997). Bilinear transformations between discrete-time and continuous-time infinite-dimensional systems, Proceedings of the International Conference on Methods and Models in Automation and Robotics, MMAR 1997, Międzyzdroje, Poland, pp. 861–870. Search in Google Scholar

Curtain, R. and Zwart, H. (2020). Introduction to Infinite-Dimensional Systems Theory: A State-Space Approach, Springer, New York.10.1007/978-1-0716-0590-5 Search in Google Scholar

Demetriou, M. (2013). Disturbance-decoupling observers for a class of second order distributed parameter systems, Proceedings of the 2013 American Control Conference, ACC 2013, Washington, USA, pp. 1302–1307. Search in Google Scholar

Demetriou, M. and Rosen, I. (2005). Unknown input observers for a class of distributed parameter systems, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC/ECC 2005, Seville, Spain, pp. 3874–3879. Search in Google Scholar

Dubljevic, S. and Humaloja, J.-P. (2020). Model predictive control for regular linear systems, Automatica 119(6): 1–9, DOI:10.1016/j.automatica.2020.109066.10.1016/j.automatica.2020.109066 Search in Google Scholar

Emirsajłow, Z. (2012). Infinite-dimensional Sylvester equations: Basic theory and applications to observer design, International Journal of Applied Mathematics and Computer Scienes 22(2): 245–257, DOI: 10.2478/v10006-012-0018-5.10.2478/v10006-012-0018-5 Search in Google Scholar

Emirsajłow, Z. (2020). Boundary observers for boundary control systems, in A. Bartoszewicz et al. (Eds), Advanced, Contemporary Control, Springer, Cham, pp. 92–104.10.1007/978-3-030-50936-1_8 Search in Google Scholar

Emirsajłow, Z. (2021). Output observers for linear infinite-dimensional control systems, in P. Kulczycki et al. (Eds), Automatic Control, Robotics and Information Processing, Springer, Cham, pp. 67–92.10.1007/978-3-030-48587-0_3 Search in Google Scholar

Emirsajłow, Z. and Townley, S. (2000). From PDEs with boundary control to the abstract state equation with an unbounded input operator: Tutorial, European Journal of Control 7(1): 1–23.10.1016/S0947-3580(00)70908-3 Search in Google Scholar

Ferrante, F., Cristofaro, A. and Prieur, C. (2020). Boundary observer design for cascaded ODE–hyperbolic PDE systems: A matrix inequalities approach, Automatica 119: 1–9, DOI: 10.1016/j.automatica.2020.109027.10.1016/j.automatica.2020.109027 Search in Google Scholar

Grabowski, P. (2021). Comparison of direct and perturbation approaches to analysis of infinite-dimensional feedback control systems, International Journal of Applied Mathematics and Computer Science 31(2): 195–218, DOI: 10.34768/amcs-2021-0014. Search in Google Scholar

Guo, B. and Zwart, H. (2006). On the relation between stability of continuous- and discrete-time evolution equations via the Cayley transform, Integral Equations and Operator Theory 54(3): 349–383.10.1007/s00020-003-1350-9 Search in Google Scholar

Hasana, A., Aamoa, O. and Krstic, M. (2016). Boundary observer design for hyperbolic PDE–ODE cascade systems, Automatica 68: 75–86, DOI: 10.1016/j.automatica.2016.01.058.10.1016/j.automatica.2016.01.058 Search in Google Scholar

Havu, V. and Malinen, J. (2007). The Cayley transform as a time discretization scheme, Integral Equations and Operator Theory 28(7): 825–851.10.1080/01630560701493321 Search in Google Scholar

Hidayat, Z., Babuska, R., De Schutter, B. and Nunez, A. (2011). Observers for linear distributed-parameter systems: A survey, Proceedings of the 2011 IEEE International Symposium on Robotic and Sensors Environments, Montreal, Canada, pp. 166–171. Search in Google Scholar

Huang, J., Liu, A. and Chen, A. (2016). Spectra of 2×2 upper triangular operator matrices, Filomat 30(13): 3587–3599, DOI: 10.2298/FIL1613587H.10.2298/FIL1613587H Search in Google Scholar

Kythe, P. (2011). Green Functions and Linear Differential Equations, Theory, Applications and Computations, Chapman & Hall/CRC, Boca Raton.10.1201/b10494 Search in Google Scholar

Mitkowski, W., Bauer, W. and Zagórowska, M. (2017). Discrete-time feedback stabilization, Archives of Control Sciences 27(2): 309–322.10.1515/acsc-2017-0020 Search in Google Scholar

Ober, R. and Montgomery-Smith, S. (1990). Bilnear transformation of infinite-dimensional state-space systems and balanced realizations of nonrational transfer functions, SIAM Journal on Control and Optimization 28(2): 438–465.10.1137/0328024 Search in Google Scholar

Oprzędkiewicz, K. and Mitkowski, W. (2018). A memory-efficient noninteger-order discrete-time state-space model of a heat transfer process, International Journal of Applied Mathematics and Computer Science 28(4): 649–659, DOI: 10.2478/amcs-2018-0050.10.2478/amcs-2018-0050 Search in Google Scholar

Smyshlyaev, A. and Krstic, M. (2005). Backstepping observer for a class of parabolic PDEs, Systems and Control Letters 54(7): 613–625.10.1016/j.sysconle.2004.11.001 Search in Google Scholar

Smyshlyaev, A. and Krstic, M. (2008). Boundary Control of PDEs: A Course on Backstepping Designs, SIAM, Philadelphia. Search in Google Scholar

Trinh, H. and Fernando, T. (2012). Functional Observers for Dynamical Systems, Springer, Berlin.10.1007/978-3-642-24064-5 Search in Google Scholar

Tucsnak, M. and Weiss, G. (2009). Observation and Control for Operator Semigroups, Birkhäuser, Basel.10.1007/978-3-7643-8994-9 Search in Google Scholar

Vries, D., Keesman, K. and Zwart, H. (2010). Luenberger boundary observer synthesis for Sturm–Liouville systems, International Journal of Control 83(7): 1503–1514.10.1080/00207179.2010.481768 Search in Google Scholar

Xie, J., Koch, C. and Dubljevic, S. (2021). Discrete-time model-based output regulation of fluid flow systems, European Journal of Control 57: 1–13, DOI: 10.1016/j.ejcon.2020.10.005.10.1016/j.ejcon.2020.10.005 Search in Google Scholar

eISSN:
2083-8492
Lingua:
Inglese
Frequenza di pubblicazione:
4 volte all'anno
Argomenti della rivista:
Mathematics, Applied Mathematics