Abstract
A robust sliding mode control is proposed for a class of nonlinear uncertain systems based on backstepping. The terminal sliding mode manifold and control methodology are designed to guarantee the error variables of the error dynamics to reach the sliding mode manifold in finite time. Then the error variables of the error dynamics can convergence on equation point using backstepping in finite time. The system state can be estimated quickly. The convergence rate between the observer and the system can be changed by choosing suitable sliding mode manifold, so as to attain the desired performances. Simulation results are presented to validate the 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
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Jo, N.H., Seo, J.H.: Input output linearization app roach to state observer design for nonlinear system. IEEE Trans. Automat. Contr. 45(12), 2388–2393 (2000)
Yang, J., Wu, J., Hu, Y.: Backstepping method and its applications to nonlinear robust control. Control and Decision 17(21), 641–647 (2002)
Yu, X., Wu, Y.: Adaptive Terminal Sliding Mode Control of Uncertain Nonlinear Systems-Backstepping Approach. Control Theory and Application 15(6), 900–907 (1998)
Yang, T., Li, X.F., Shao, H.H.: Chaotic Synchronization Using Backstepping Method with Application to the Chua‘s Circuit and Lorenz System. In: Proceeding of the American Control Conference, Arlington, VA, pp. 2299–2300 (2001)
Wang, C., Ge, S.S.: Synchronization of Uncertain Chaotic Systems via Adaptive Backstepping. In: Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 4827–4832 (2000)
Wang, C., Ge, S.S.: Singularity-Free Adaptive Backstepping Control of Uncertain Lorenz System. In: Proceedings of The American Control Conference, Chicago, USA, pp. 3143–3147 (2000)
Pyragas, K.: Continuous Control of Chaos by Self-controlling Feedback. Phys. Lett. A. 170, 421–428 (1992)
Guan, X., Chen, C., Fan, Z.: Adaptive fuzzy control for a chaotic system based on the backstepping approach. Acta Physica Sinica 51(4), 753–758 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Niao-na, Z., Guang-lai, Z. (2011). Robust Sliding Mode Observer Design for a Class of Nonlinear Uncertain Systems Based on Backstepping. In: Jiang, L. (eds) Proceedings of the 2011 International Conference on Informatics, Cybernetics, and Computer Engineering (ICCE2011) November 19–20, 2011, Melbourne, Australia. Advances in Intelligent and Soft Computing, vol 112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25194-8_67
Download citation
DOI: https://doi.org/10.1007/978-3-642-25194-8_67
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25193-1
Online ISBN: 978-3-642-25194-8
eBook Packages: EngineeringEngineering (R0)