International Journal of Control, Automation, and Systems 2024; 22(11): 3434-3447
https://doi.org/10.1007/s12555-024-0058-2
© The International Journal of Control, Automation, and Systems
This paper investigates the maximal output set for a class of linear distributed systems with discrete output. This exploration is novel, as previous studies primarily focused on localized systems. We define an initial state as output admissible if its corresponding output satisfies specified constraints. This set of initial states termed the maximal output set (MOS), is shown to be nonempty, bounded, and characterized by a finite number of inequalities under suitable assumptions. In addition to theoretical characterization, we propose an algorithmic approach. To illustrate our framework, we provide a numerical example involving a parabolic system. Furthermore, we apply our results to address a disturbance rejection problem, aiming to design feedback controls that ensure the robustness of the system’s output against disturbances.
Keywords Distributed linear systems, disturbance rejection, maximal output set, observability, robustness.
International Journal of Control, Automation, and Systems 2024; 22(11): 3434-3447
Published online November 1, 2024 https://doi.org/10.1007/s12555-024-0058-2
Copyright © The International Journal of Control, Automation, and Systems.
Issam Khaloufi, Abdessamad Tridane*, Youssef Benfatah, and Mostafa Rachik
United Arab Emirates University
This paper investigates the maximal output set for a class of linear distributed systems with discrete output. This exploration is novel, as previous studies primarily focused on localized systems. We define an initial state as output admissible if its corresponding output satisfies specified constraints. This set of initial states termed the maximal output set (MOS), is shown to be nonempty, bounded, and characterized by a finite number of inequalities under suitable assumptions. In addition to theoretical characterization, we propose an algorithmic approach. To illustrate our framework, we provide a numerical example involving a parabolic system. Furthermore, we apply our results to address a disturbance rejection problem, aiming to design feedback controls that ensure the robustness of the system’s output against disturbances.
Keywords: Distributed linear systems, disturbance rejection, maximal output set, observability, robustness.
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