Abstract
This paper considers the discrete-time quasi-sliding mode control for a class of uncertain switched systems. Since the input matrices are different, a weighted sum approach is proposed such that a common sliding surface is designed. Moreover, by designing a sliding mode control law, the state trajectories are driven into a certain band of the sliding surface. Furthermore, to guarantee the exponential stability of the sliding mode dynamics, a sufficient condition based on the average dwell time technology is given. Finally, a simulation is given to demonstrate the efficiency of the proposed method.
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Recommended by Associate Editor Hongyi Li under the direction of Editor Yoshito Ohta. This work was partly supported by basic research project of Shanghai Dianji University (A1-0227-18-016-04).
Yonghui Liu received her Ph.D. degree from East China University of Science and Technology. In 2014, she joined the School of Electrical Engineering, Shanghai Dianji University, where she is currently a lecturer. Her research interests covers sliding mode control, switched systems and fault tolerant control.
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Liu, Y. Sliding Mode Control for A Class of Uncertain Discrete Switched Systems. Int. J. Control Autom. Syst. 16, 1716–1723 (2018). https://doi.org/10.1007/s12555-017-0468-5
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DOI: https://doi.org/10.1007/s12555-017-0468-5