Abstract
Variable structure control is recognized as the most efficient method for control of uncertain systems. In order to reduce the chattering and improve the stability of the Discrete-time Variable Structure Control System (DVSCS) with parameter uncertainties and external disturbances, this paper proposes a variable structure controller based on variable boundary layer. Simulations results demonstrate the controller is not only effectively reduce chattering of the DVSCS, but improve the asymptotic stability and robustness of system. In addition, the results also revealed that the controller has strong effectiveness and robustness of the trajectory tracking.
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Hansong, W., Lizhong, S., Qiong-hui, Y.: Chattering analysis and robustness study of discrete variable rate reaching law. Journal of Naval University of Engineering 16, 41–44 (2004)
Zhao-qiang, L., Deyun, Z.: Design of chattering-free global sliding-mode discrete Variable Structure Control algorithm. Computer Engineering and Applications 44, 226–227 (2008)
Ruixiang, S., Lizhong, S.: Discrete Variable Structure Control Strategy With Decreasing Quasi-Sliding Mode Band. Computing Technology and Automation 20, 54–58 (2001)
Li, L., Li, J.: Chattering-Free Support Vector Regression Sliding Mode Control. In: 2008 International Conference on Computational Intelligence and Security, vol. 99, pp. 231–234 (2008)
Orlov, Y., Perruquetti, W.: Sliding Mode Control Synthesis of Uncertain Time-Delay Systems. Asian Journal of Control 5, 568–577 (2003)
Yan, L.: Variable Structure Control for Discrete-time Systems and Its Simulations (2008)
Qidan, Z., Tong, W.: New variable structure control scheme for discrete-time systems. Control and Decision 24, 1209–1213 (2009)
Lijun, M., Cunchen, G.: Sliding mode tracking control for a kind of discrete-time systems with time-delay and disturbance. Control and Decision 8, 874–878 (2008)
Benayache, R.: Design and implementation of sliding mode Controller with varying boundary layer for a coupled tanks system. In: 17th Mediterranean Conference on Control & Automation, vol. 7, pp. 1215–1220 (2009)
Boiko, I., Fridman, L., Castellanos, I.M.: Analysis of second-order sliding-mode algorithms in the frequency domain. IEEE Trans. Autom. Control 49, 946–950 (2004)
Jinkun, L.: MATLAB Simulation for Sliding Mode Control. Tsinghua University Press, Beijing (2005)
Lee, H.: Chattering Suppression in Sliding Mode Control System. The Ohio State University (2007)
Eun, Y., Kim, J.-H.: Discrete-Time Variable Structure Controller with a Decoupled Disturbance Compensator and Its Application to a CNC Servomechanism. IEEE Transactions on Control Systems Technology 7, 414–423 (1999)
Li, Y.-F.: High Precision Motion Control Based on a Discrete-time Sliding Mode Approach (2001)
Xiao, L., Su, H.: Multi-step Prediction Based Discrete-time Sliding Mode Control Algorithm. In: Second International IEEE Symposium on Intelligent Information Technology Application, pp. 731–735 (2008)
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Su, S., Wang, H., Zhang, H., Xiong, W. (2010). Design of Discrete Variable Structure Controller Based on Variable Boundary Layer . In: Tenreiro de Magalhães, S., Jahankhani, H., Hessami, A.G. (eds) Global Security, Safety, and Sustainability. ICGS3 2010. Communications in Computer and Information Science, vol 92. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15717-2_9
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DOI: https://doi.org/10.1007/978-3-642-15717-2_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15716-5
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