Abstract
A kind of high order sliding mode control strategy is designed for a three order nonlinear systems with both input nonlinearity and uncertain functions. With a assumption that the uncertain function satisfies the bounded uncertainty condition and the input nonlinearity satisfies the linear field nonlinearity condition, a novel kind of sliding mode is constructed with integral action which is useful to cope with the uncertainties of the system. Most important of all, the input nonlinearity problem is solved by the new kinds of sliding mode control method. And this method can also be applied in a large family of nonlinear systems with the same input nonlinearities situation.
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References
Gao, W., Hung, J.C.: Variable Structure Control of Nonlinear systems: A New Approach. IEEE Trans. Indus. Electro. 40(1) (February 1993)
Tang, F., Wang, L.: An adaptive active control for modified Chua’s circuit. Phys. Lett. A. 346, 342–346 (2005)
Lei, J., Wang, X., Lei, Y.: How many parameters can be identified by adaptive synchronization in chaotic systems? Phys. Lett. A. 373, 1249–1256 (2009)
Lei, J., Wang, X., Lei, Y.: A Nussbaum gain adaptive synchronization of a new hyperchaotic system with input uncertainties and unknown parameters. Commun. Nonlinear Sci. Numer. Simul. 14, 3439–3448 (2009)
Wang, X., Lei, J., Lei, Y.: Trigonometric RBF Neural Robust Controller Design for a Class of Nonlinear System with Linear Input Unmodeled Dynamics. Appl. Math. Comput. 185, 989–1002 (2007)
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© 2011 Springer-Verlag Berlin Heidelberg
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Ma, Q., Jin, Y. (2011). Research on High Order Sliding Mode Control of Three Order Systems with Input Nonlinearity. In: Lin, S., Huang, X. (eds) Advances in Computer Science, Environment, Ecoinformatics, and Education. CSEE 2011. Communications in Computer and Information Science, vol 215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23324-1_3
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DOI: https://doi.org/10.1007/978-3-642-23324-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23323-4
Online ISBN: 978-3-642-23324-1
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