Abstract
This paper study the issue of reachable set estimation (RSE) for nonlinear systems with disturbance. Firstly, by designing the sliding mode control (SMC) law, a closed-loop control system (CLCS) is constructed. Then the Lyapunov functional of the system was designed and the linear matrix inequality (LMI) was established through the free weighting matrix method. Consequently, by solving the LMI we can get the ellipsoid. Finally, the validity of the theoretical analysis is verified by an example.
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References
Feng, Z., Lam, J.: On reachable set estimation of singular systems. Automatica 52, 146–153 (2015)
Feng, Z., Lam, J.: An improved result on reachable set estimation and synthesis of time-delay systems. Appl. Math. Comput. 249, 89–97 (2014)
Acknowledgments
This work was supported in part by the Education Department Foundation of Liaoning Province under Grant LJKZ1023.
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Zhang, X., Zhang, L., Wang, J. (2023). Reachable Set Estimation for Nonlinear Systems with Disturbance via Sliding Mode Control. In: Yan, L., Duan, H., Deng, Y. (eds) Advances in Guidance, Navigation and Control. ICGNC 2022. Lecture Notes in Electrical Engineering, vol 845. Springer, Singapore. https://doi.org/10.1007/978-981-19-6613-2_560
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DOI: https://doi.org/10.1007/978-981-19-6613-2_560
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Online ISBN: 978-981-19-6613-2
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