Multicriteria Pole Clustering and H2=Hin f Control of Regular Singular System

• Published in: International journal of control, automation, and systems pp. 912 - 926
• Main Authors: Zied Tmar, Kamel Ben Slimane, Mongi Besbes
• Format: Journal Article
• Language: English
• Published: 제어·로봇·시스템학회 01.03.2024
• Subjects: 제어계측공학
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-023-0534-0

In this paper, a multicriteria control combining H2/Hin f techniques, and pole clustering under strictlinear matrix inequalities (LMI) solving is considered to achieve the design of a static state feedback controller. This robust control targets regular singular systems subject to uncertainties. We have studied the D-admissibility ofa pencil matrix, which is an extension of D-stability concept to singular systems, to formulate the clustering pole inLMI regions as an LMI optimization problem. In order to apply this control synthesis strategy, a methaniser processwith complex nonlinear model is used. A multivariable representation of an AM2 model for this biological processis determined to study governability. A transformation of the same AM2 model into a singular form allows to studythe controllability of the slow and fast subsystems and check the regularity of the system. The simulation results ofthe controlled methane flow rate shows an important improvement during the methanization phase. KCI Citation Count: 1