Model-Following Preview Control for a Class of Linear Descriptor Systems with Actuator Failures

Chen Jia () and Li Li
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Chen Jia: School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, China
Li Li: School of Statistics and Mathematics, Hubei University of Economics, Wuhan 430205, China

Mathematics, 2024, vol. 12, issue 22, 1-16

Abstract: This paper considers the model-following preview control problem for a class of continuous-time descriptor systems with actuator failures. Firstly, the model-following problem is transformed into an optimal preview control problem by utilizing restricted equivalent transformations and the construction of augmented systems. After discussing the relationship between the stabilizability and detectability of the augmented system and the corresponding characteristics of the controlled system, the model-following preview controller of the original descriptor system is obtained by integrating on the controller of the augmented system. Finally, an application to electrical circuit system is used for assessment purposes. The simulation results demonstrate the effectiveness of the proposed controller.

Keywords: descriptor system; preview control; model-following control; fault-tolerant control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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