Abstract
In this paper, the problem of observer-based H ∞ guaranteed cost control for uncertain singular timedelay systems with actuator saturation is concerned. A delay-dependent sufficient condition is proposed, which guarantees that the closed-loop system is admissible via Lyapunov theory and linear matrix inequality (LMI) approach. Then, with this condition, the estimation of stability region, the upper bound of cost function and the design method of observer-based H ∞ guaranteed cost controller are given by solving linear matrix inequalities and convex optimization problems. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.
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Recommended by Associate Editor Jiuxiang Dong under the direction of Editor Yoshito Ohta. This work is supported by the National Natural Science Foundation of China (No. 61273004) and the Natural Science Foundation of Hebei province (No. F2014203085).
Yuechao Ma was born in 1963. He received his Ph.D. degree in Northeast University, Shenyang, China, in 2006. He is currently a full professor in the School of College of Science, Yanshan University, China. His current research interests include linear and nonlinear control, neural networks, robust control and time-delay system theory.
Yifang Yan was born in 1990. She received her B.S. degree in Hebei Normal University of Science and technology, Qinhuangdao, China, in 2013. She is currently pursuing the M.S. degree in the School of College of Science, Yanshan University, China. Her research interests include stability and control theory of the singular systems.
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Ma, Y., Yan, Y. Observer-based H ∞ guaranteed cost control for uncertain singular time-delay systems with input saturation. Int. J. Control Autom. Syst. 14, 1254–1261 (2016). https://doi.org/10.1007/s12555-014-0541-2
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DOI: https://doi.org/10.1007/s12555-014-0541-2