Abstract
This paper represents a novel less conservative stability criterion for time-delay systems with nonlinear disturbances. The main purpose is to obtain larger upper bound of the time-varying delay. A suitable Lyapunov- Krasovskii functional (LKF) with triple integral terms is constructed. Then, two new generalized double integral (GDI) inequalities are proposed which encompass Wirtinger-based double inequality as a special case. A simple case of the proposed GDI inequality is utilized to estimate double integral terms in the time derivative of the constructed LKF. Further, an improved delay-dependent stability criterion is derived in the form of linear matrix inequalities (LMIs). Finally, some numerical examples are given to illustrate the improvement of the proposed criteria.
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Recommended by Editor Jessie (Ju H.) Park. This work was supported by the National Natural Science Foundation of China (61501493).
Bin Wu received his B.S. and M.S. degrees in Department of UAV Engineering from Ordnance Engineering College in 2012 and 2014, respectively. Now, he is a Ph.D. student in School of UAV Engineering at Army Engineering University Shijiazhuang Campus. His research interests include spacecraft control, and nonlinear and robust control.
Chang-Long Wang received his M.S. degree from Harbin Institute of Technology in 1992, and a Ph.D. degree from Xi’an Jiaotong University in 2006. Now, he is a professor in Army Engineering University Shijiazhuang Campus. His research interests include spacecraft control, and signal and information processing.
Yong-Jiang Hu received his M.S. degree from Shanghai Jiaotong University, and his Ph.D. degree in guidance, navigation and control from Ordnance Engineering College in 2007. He is currently an associate professor in Army Engineering University Shijiazhuang Campus. His mainly research interests are in and signal processing and spacecraft control.
Xiao-Lin Ma received her B.S. degree in electronics from Hebei University of Technology, and the M.S. degree in microwave from Communication University of China. She is currently an associate professor in Army Engineering University Shijiazhuang Campus. Her mainly research interests are in wireless communication and signal processing.
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Wu, B., Wang, CL., Hu, YJ. et al. Stability Analysis for Time-delay Systems with Nonlinear Disturbances via New Generalized Integral Inequalities. Int. J. Control Autom. Syst. 16, 2772–2780 (2018). https://doi.org/10.1007/s12555-018-0266-8
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DOI: https://doi.org/10.1007/s12555-018-0266-8