International Journal of Control, Automation and Systems 2014; 12(1): 57-62
Published online February 1, 2014
https://doi.org/10.1007/s12555-013-0038-4
© The International Journal of Control, Automation, and Systems
This paper considers the problem of sliding mode control for a class of uncertain switched systems subject to sector nonlinearities and dead-zone. In the control systems, each subsystem is not required to share the same input channel, which is usually assumed in the previous works. By employing a weighted sum of the input matrices, a common sliding surface is designed and the corresponding sliding mode dynamics is obtained. A switching signal based on the average dwell time strategy is fur-ther proposed to ensure the exponential stability of the sliding mode dynamics. Moreover, it is shown that the reachability of the specified sliding surface can be ensured despite the presence of actuator nonlinearity, parameter uncertainties and external disturbances. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
Keywords Actuator nonlinearity, average dwell time, sliding mode control, switched systems.
International Journal of Control, Automation and Systems 2014; 12(1): 57-62
Published online February 1, 2014 https://doi.org/10.1007/s12555-013-0038-4
Copyright © The International Journal of Control, Automation, and Systems.
Yonghui Liu, Yugang Niu*, and Yuanyuan Zou
East China University of Science and Technology
This paper considers the problem of sliding mode control for a class of uncertain switched systems subject to sector nonlinearities and dead-zone. In the control systems, each subsystem is not required to share the same input channel, which is usually assumed in the previous works. By employing a weighted sum of the input matrices, a common sliding surface is designed and the corresponding sliding mode dynamics is obtained. A switching signal based on the average dwell time strategy is fur-ther proposed to ensure the exponential stability of the sliding mode dynamics. Moreover, it is shown that the reachability of the specified sliding surface can be ensured despite the presence of actuator nonlinearity, parameter uncertainties and external disturbances. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.
Keywords: Actuator nonlinearity, average dwell time, sliding mode control, switched systems.
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