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Finite-time disturbance attenuation of nonlinear systems

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Abstract

This paper is devoted to the finite-time disturbance attenuation problem of affine nonlinear systems. Based on the finite time Lyapunov stability theory, some finite-time H performance criterions are derived. Then the state-feedback control law is designed and the structure of such a controller is investigated. Furthermore, it is shown that the H controller can also make the closed-loop system satisfy finite-time H performance for nonlinear homogeneous systems. An example is provided to demonstrate the effectiveness of the presented results.

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Correspondence to LiPo Mo.

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Supported by the National Basic Research Program of China (Grant No. 2005CB321902), the National Natural Science Foundation of China (Grant No. 60374001), and the Doctoral Fund of Ministry of Education of China (Grant No. 20030006003)

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Mo, L., Jia, Y. & Zheng, Z. Finite-time disturbance attenuation of nonlinear systems. Sci. China Ser. F-Inf. Sci. 52, 2163–2171 (2009). https://doi.org/10.1007/s11432-009-0194-6

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  • DOI: https://doi.org/10.1007/s11432-009-0194-6

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