Robust Fuzzy Design for Nonlinear Uncertain Stochastic Systems via Sliding-Mode Control
Robust Fuzzy Design for Nonlinear Uncertain Stochastic Systems via Sliding-Mode Control
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DOI：
10.1109/tfuzz.2006.880006
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发表时间：
2007-06
影响因子：
11.9
通讯作者：
D. Ho;Y. Niu
中科院分区：
文献类型：
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作者：
D. Ho;Y. Niu
利用模糊方法研究了非线性随机时滞系统的滑模控制问题。提出了一类具有参数不确定性和未知非线性的T-S模糊随机时滞模型。给出了滑动运动均方指数稳定的一个充分条件。此外，当等式约束的线性矩阵不等式(LMI)可行时，滑动面控制器和滑模控制器的设计都可以通过凸优化得到。最后给出了一个仿真算例，说明了该方法的有效性。
This paper deals with the sliding-mode control (SMC) problem for nonlinear stochastic time-delay systems by means of fuzzy approach. The Takagi-Sugeno (T-S) fuzzy stochastic time-delay model with parametric uncertainties and unknown nonlinearities is presented. A sufficient condition for the exponential stability in mean square of the sliding motion is also derived. Moreover, it is shown that when the linear matrix inequalities (LMIs) with equality constraint are feasible, the designs of both sliding surface and sliding-mode controller can be easily obtained via convex optimization. A simulation example illustrating the proposed method is given.