Abstract
This article investigates the finite-time control problem for a series of uncertain switched systems by sliding mode control (SMC) approach. A linear sliding manifold is initially constructed. Then, based on the average dwell time method and linear matrix inequality (LMI) technique, sufficient conditions are given, which guarantee the switched system to be finite-time bounded. By the method of partition, the corresponding finite-time stability (FTS) of the closed-loop system over reaching phase and sliding motion phase are guaranteed, respectively. Finally, an example is given to demonstrate the effectiveness for the proposed control design.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Liu, Z., Karimi, H.R., Yu, J.P.: Passivity-based robust sliding mode synthesis for uncertain delayed stochastic systems via state observer. Automatica 111, 108596 (2020)
Majidabad, S.S., Shandiz, H.T., Hajizadeh, A.: Nonlinear fractional-order power system stabilizer for multi-machine power systems based on sliding mode technique. Int. J. Robust Nonlinear Control 25, 1548–1568 (2015)
Liu, Z., Yu, J.P.: Non-fragile observer-based adaptive control of uncertain nonlinear stochastic Markovian jump systems via sliding mode technique. Nonlinear Anal. Hybrid Syst 38, 100931 (2020)
Najson, F.: Spectral and convex uniform exponential stability determination in a class of switched linear systems. IEEE Control Syst. Lett. 5(6), 2138–2143 (2021)
Branicky, M.S.: Prescribed-time stabilization of controllable planar systems using switched state feedback. IEEE Control Syst. Lett. 5(6), 2048–2053 (2021)
Amato, F., Ariola, M., Dorato, P.: Finite-time control of linear systems subject to parametric uncertainties and disturbances. Automatica 37(9), 1459–1463 (2011)
Meng, X., Wu, Z.T., Gao, C.C., Jiang, B.P., Karmi, H.R.: Finite-time projective synchronization control of variable-order fractional chaotic systems via sliding mode approach. IEEE Trans. Circ. Syst. II 68(7), 2503–2507 (2021)
Zhao, H.J., Niu, Y.G.: Finite-time sliding mode control of switched system with one-sided Lipschitz nonlinearity. J. Franklin Inst. 357(16), 11171–11188 (2020)
Lin, L.X., Liu, Z.: State-estimation-based adaptive sliding mode control of uncertain switched systems: a novel linear sliding manifold approach. ISA Trans. 111(3), 47–56 (2021)
Liu, Z., Yu, J.P., Karimi, H.R.: Adaptive H\(\infty \) sliding mode control of uncertain neutral-type stochastic systems based on state observer. Int. J. Robust Nonlin. Control 30(3), 1141–1155 (2020)
Jiang, B.P., Karimi, H.R., Kao, Y.G., Gao, C.C.: Takagi-Sugeno model-based sliding mode observer design for finite-time synthesis of semi-Markovian jump systems. IEEE Trans. Syst. Man Cybern. Syst. 49(7), 1505–1515 (2019)
Acknowledgments
This work is supported by the National Natural Science Foundation of China under grant 61803217, the Natural Science Foundation of Shandong Province of China under grants ZR2018PF010, ZR2017MF055, ZR2017QF011, the China Postdoctoral Science Foundation under grant 2018M642612, and the Science and Technology Support Plan for Youth Innovation of Universities in Shandong Province under grant 2019KJN033.
Author information
Authors and Affiliations
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
Zhao, X., Liu, Z. (2022). Robust Finite-Time Stabilization of Uncertain Switched Systems via Sliding Mode Control. 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_14
Download citation
DOI: https://doi.org/10.1007/978-981-16-6328-4_14
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)