Robust admissibility analysis and synthesis of uncertain singular systems via delta operator approach

• Published in: 2013 10th IEEE International Conference on Control and Automation (ICCA) pp. 1059 - 1064
• Main Authors: Xin-zhuang Dong, Wan-hu Tian, Qing-tang Mao, Dong-qing Wang
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.06.2013
• Subjects: Closed loop systems; Continuous time systems; Linear matrix inequalities; Robustness; State feedback; Uncertainty; Xenon
• ISBN: 9781467347075; 1467347078
• ISSN: 1948-3449
• DOI: 10.1109/ICCA.2013.6564857

This paper investigates the problems of robust admissibility analysis and robust admissible control for uncertain singular systems through delta operator method. Firstly, a necessary and sufficient LMI-based condition is derived guaranteeing the admissibility of a linear singular delta operator system. Then, based on the above result, a necessary and sufficient LMI-based condition is obtained for the robust admissibility of an uncertain singular delta operator system. Furthermore, the existence condition and explicit expression of a state feedback robust admissible controller is also given in terms of matrix inequalities. Finally, a numerical example is presented to demonstrate the results in this paper.