Observer design and output feedback stabilization for linear singular time-delay systems with unknown inputs

• Published in: Journal of control theory and applications Vol. 6; no. 2; pp. 177 - 183
• Main Authors: Cui, Peng, Zhang, Chenghui
• Format: Journal Article
• Language: English
• Published: Heidelberg Editorial Board of Control Theory and Applications 01.05.2008; School of Control Science and Engineering,Shandong University,Jinan Shandong 250061,China
• Subjects: Complexity; Computational Intelligence; Control; Control and Systems Theory; Engineering; Mechatronics; Optimization; Robotics; Systems Theory; 奇异时滞系统; 未知输入; 线性矩阵不等式; 输出反馈稳定性; Singular time-delay systems; Functional observer; Reduced-order observer; Linear matrix inequality (LMI); Output feedback stabilization; Linear matrix inequality(LMI)
• ISSN: 1672-6340; 1993-0623
• DOI: 10.1007/s11768-008-6021-6

The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality（LMI）. Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods.