Abstract
Integral sliding mode control is formulated with respect to an uncertain continuous network control system with the state delay. The parameter uncertainty is assumed to be the norm-bounded and satisfy the sliding mode matching requirements. The switching function is presented which include the integral term of the state feedback gain and the sliding mode compensator. The sliding mode controller is designed which is divided into the equivalent controller and switching controller, so the reachability of the sliding surface is ensured. A sufficient condition is derived by means of linear matrix inequality such that the asymptotical stability of the closed-loop system is guaranteed. The validity and feasibility of the proposed approach is investigated via the corresponding numerical simulation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Dai, S.L., Lin, H., Ge, S.S. (2010). Scheduling-and-control code-sign for a collection of networked control systems with uncertain delays. IEEE Transactions on Control Systems Technology, 18(1), 66–78.
Gao, H.J., Meng, X.Y., Chen, T.W. (2008). Stabilization of networked control system with a new delay characterization. IEEE Transactions on Automatic Control, 53(9), 2142–2148.
Utkin, V.I. (1992). Sliding modes in control optimization (pp. 145–154). New York: Springer.
Efe, M.O., Kaynak, O., Yu, X.H. (2000). Sliding mode control of a three degrees of freedom anthropoid robot by driving the controller parameters to an equivalent regime. Transactions of the ASME Journal of Dynamic Systems, Measurement and Control, 122(4), 632–640.
Gao, W.B., Hung, J.C. (1993). Variable structure control of nonlinear systems: A new approach. IEEE Transactions on Industrial Electronics, 40(1), 45–55.
Utkin, V.I., Shi, J. (1996). Integral sliding mode in systems operating under uncertainty conditions. In Proceedings of the 35th IEEE Conference Decision Control (pp. 4591–4596). New York: IEEE Press.
Chou, C., & Cheng, C. (2003). A decentralized model reference adaptive variable structure controller for large-scale time-varying delay systems. IEEE Transactions on Automatic Control, 48(7), 1213–1217.
Poznyak, A., Fridman, L., & Bejarano, F.J. (2004). Mini-max integral sliding mode control for multimodel linear uncertain systems. IEEE Transactions on Automatic Control, 49(1), 97–102.
Acknowledgements
This paper is supported by Science Research Term of the Education Department of Shaanxi province of China (No. 12JK0548).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Gao, Z. (2014). Integral Sliding Mode Controller for an Uncertain Network Control System with Delay. In: Wong, W.E., Zhu, T. (eds) Computer Engineering and Networking. Lecture Notes in Electrical Engineering, vol 277. Springer, Cham. https://doi.org/10.1007/978-3-319-01766-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-01766-2_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01765-5
Online ISBN: 978-3-319-01766-2
eBook Packages: EngineeringEngineering (R0)