University of Carthage, ISTIC, Tunis, 1054, Tunisia.
Société Tunisienne de l'Electricité et du Gaz, Tunis, 1003, Tunisia.
Sci Rep. 2023 Apr 17;13(1):6205. doi: 10.1038/s41598-023-32344-7.
The control and command of singular systems of non-regular type pose very complex problems for automation engineers. The classic concepts of controllability are not applicable because of the non-regularity of the response of such systems whose internal states are no longer controllable in the temporal or frequency plane. New concepts are rather considered such as R-Controllability and Imp-Controllability combined with [Formula: see text] type stabilization approaches. This paper proposes a new synthesis of a [Formula: see text] controller, written in terms of LMI-like matrix inequalities, dedicated to this type of system. The simulation results, of the controller synthesized on methanation plant are encouraging and have led to better performance compared to other scientific publications in the field.
非正则型奇异系统的控制和指挥给自动化工程师带来了非常复杂的问题。由于这些系统的响应是非正则的，其内部状态在时间或频率平面上不再可控，因此经典的可控性概念不再适用。相反，人们考虑了一些新概念，如 R-可控性和 Imp-可控性，以及与 [公式：见正文] 型稳定化方法相结合。本文提出了一种新的 [公式：见正文] 控制器综合方法，该控制器采用类似于 LMI 的矩阵不等式形式，专门用于这种类型的系统。在甲烷化工厂上综合的控制器的仿真结果令人鼓舞，并与该领域的其他科学出版物相比，取得了更好的性能。
