Fuzzy Adaptive Quantized Control for a Class of Stochastic Nonlinear Uncertain Systems

IEEE Transactions on Cybernetics
Zhi LiuC L Philip Chen

Abstract

In this paper, a fuzzy adaptive approach for stochastic strict-feedback nonlinear systems with quantized input signal is developed. Compared with the existing research on quantized input problem, the existing works focus on quantized stabilization, while this paper considers the quantized tracking problem, which recovers stabilization as a special case. In addition, uncertain nonlinearity and the unknown stochastic disturbances are simultaneously considered in the quantized feedback control systems. By putting forward a new nonlinear decomposition of the quantized input, the relationship between the control signal and the quantized signal is established, as a result, the major technique difficulty arising from the piece-wise quantized input is overcome. Based on fuzzy logic systems' universal approximation capability, a novel fuzzy adaptive tracking controller is constructed via backstepping technique. The proposed controller guarantees that the tracking error converges to a neighborhood of the origin in the sense of probability and all the signals in the closed-loop system remain bounded in probability. Finally, an example illustrates the effectiveness of the proposed control approach.

References

Feb 14, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Weisheng Chen, Junmin Li
Nov 26, 2009·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Weisheng ChenRuihong Li
Jul 27, 2011·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Shaocheng TongYanjun Liu
May 25, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Qi ZhouShengyuan Xu
Apr 11, 2014·IEEE Transactions on Cybernetics·Qing GaoYong Wang
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Huanqing WangChong Lin
Jun 27, 2014·IEEE Transactions on Cybernetics·Yan-Jun Liu, Shaocheng Tong

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Citations

Jan 6, 2016·IEEE Transactions on Cybernetics·Yun Ho Choi, Sung Jin Yoo
Feb 7, 2017·IEEE Transactions on Neural Networks and Learning Systems·Quan-Yong FanDan Ye
Jun 27, 2017·IEEE Transactions on Cybernetics·Fang WangXinzhu Meng
Sep 19, 2017·IEEE Transactions on Cybernetics· Yumei Sun Honghong Wang
Sep 19, 2017·IEEE Transactions on Cybernetics· Chen XuTasawar Hayat

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