Abstract
This paper focuses on global finite-time output feedback stabilization of uncertain nonlinear systems, whose nonlinearities contain high-order and low-order terms simultaneously. Firstly, making use of adding a power integrator method, a state feedback controller is constructed with a dynamic gain. Then, a reduced-order observer is proposed and the corresponding output feedback controller is established by virtue of certainty equivalence principle, which can successfully stabilize the whole system to zero in finite time.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Huang, X., Lin, W., Yang, B.: Global finite-time stabilization of a class of uncertain nonlinear systems. Automatica 41, 881–888 (2005)
Hong, Y., Wang, J., Cheng, D.: Adaptive finite-time control of nonlinear systems with parametric uncertainty. IEEE Trans. Autom. Control 51(5), 858–862 (2006)
Mazenc, F., Praly, L., Dayawansa, W.: Global stabilization by output feedback: examples and counterexamples. Syst. Control Lett. 23, 119–125 (1994)
Li, J., Qian, C., Ding, S.: Global finite-time stabilisation by output feedback for a class of uncertain nonlinear systems. Int. J. Control 83(11), 2241–2252 (2010)
Qian, C.: A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems. In: American Control Conference, pp. 4708–4715 (2005)
Zhai, J.: Global finite-time output feedback stabilisation for a class of uncertain nontriangular nonlinear systems. Int. J. Syst. Sci. 45(3), 637–646 (2014)
Lei, H., Lin, W.: Robust control of uncertain nonlinear systems by output feedback. In: American Control Conference, pp. 5354–5359 (2007)
Li, J., Qian, C., Frye, M.: A dual observer design for global output feedback stabilization of nonlinear systems with low-order and high-order nonlinearities. Int. J. Robust Nonlinear Control 19(15), 1697–1720 (2009)
Li, G., Lin, Y.: Robust output feedback stabilization of nonlinear systems with low-order and high-order nonlinearities. Int. J. Robust Nonlinear Control 26(15), 1919–1943 (2016)
Li, F., Liu, Y.: Global finite-time stabilization via time-varying output-feedback for uncertain nonlinear systems with unknown growth rate. Int. J. Robust Nonlinear Control 27(15), 4050–4070 (2017)
Qian, C., Lin, W.: A continuous feedback approach to global strong stabilization of nonlinear systems. IEEE Trans. Autom. Control 46(7), 1061–1079 (2001)
Andrieu, V., Praly, L., Astolfi, A.: Nonlinear output feedback design via domination and generalized weighted homogeneity. In: Conference on Decision and Control, pp. 6391–6396 (2006)
Acknowledgement
This work was supported in part by National Natural Science Foundation of China (No. 61873061).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Tan, Y., Zhai, J. (2022). Global Finite-Time Output-Feedback Stabilization for Uncertain Nonlinear Systems with High-Order and Low-Order Nonlinearities via Dynamic Gain. In: Jia, Y., Zhang, W., Fu, Y., Yu, Z., Zheng, S. (eds) Proceedings of 2021 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 803. Springer, Singapore. https://doi.org/10.1007/978-981-16-6328-4_4
Download citation
DOI: https://doi.org/10.1007/978-981-16-6328-4_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-16-6327-7
Online ISBN: 978-981-16-6328-4
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)