Robust stabilization for discrete‐time nonlinear singular systems with mixed time delays |
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| Authors: | Jianning Li Hongye Su Zhengguang Wu Jian Chu |
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| Affiliation: | National Laboratory of Industrial Control Technology, Institute of Cyber‐Systems and Control, Zhejiang University, Yuquan Campus, Hangzhou Zhejiang, 310027, China |
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| Abstract: | This paper investigates the robust stability of discrete‐time singular systems involving nonlinear disturbance and mixed time delays. The mixed time delays are comprised of both discrete and distributed delays. The interval of discrete time delays can be divided into several subintervals, firstly. Then, in terms of linear matrix inequality (LMI), a suitable state feedback controller is designed for discrete‐time singular systems with nonlinear disturbance and mixed time delays, and the overall closed‐loop system is regular, causal and mean square asymptotically stable. Numerical examples are provided to show the usefulness and effectiveness of the proposed methods, and the results derived from our approaches are less conservative than existing ones. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society |
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| Keywords: | Nonlinear system singular system mixed time‐delay linear matrix inequality |
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