Abstract
This paper investigates the control issue for noise-perturbed time-varying delay systems. A novel state and noise observer (SNO) based sliding mode control (SMC) law is designed, meanwhile, a weighted energy-to-energy performance (WEEP) is proposed for reducing the negative influence of the observer-induced complex exogenous noises. By a novel free-weight matrix method, the stability condition is conveniently obtained. By the proposed method, the exponential stability of close-loop system can be guaranteed while a WEEP is simultaneously achieved, moreover, the exponential convergence rate can be pre-specified. Numerical examples are provided to demonstrate the effectiveness of the proposed methods.
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Acknowledgments
This work was supported by the Open Project of State Key Laboratory of Traction Power, Southwest Jiaotong University (TPL1604).
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Cui, Y., Shi, G., Xu, L., Zhang, X., Li, X. (2017). Noise Observer Based Sliding Mode Control for Time-Varying Delay Systems. In: Yue, D., Peng, C., Du, D., Zhang, T., Zheng, M., Han, Q. (eds) Intelligent Computing, Networked Control, and Their Engineering Applications. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 762. Springer, Singapore. https://doi.org/10.1007/978-981-10-6373-2_64
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DOI: https://doi.org/10.1007/978-981-10-6373-2_64
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