Adaptive neural control of switched nonstrict-feedback nonlinear systems with multiple time-varying delays
Adaptive neural control of switched nonstrict-feedback nonlinear systems with multiple time-varying delays
复制标题
具有多个时变延迟的切换非严格反馈非线性系统的自适应神经控制
DOI:
10.1016/j.jfranklin.2017.10.011
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发表时间:
2017-12
期刊:
影响因子:
--
通讯作者:
Zhang Zhengqiang
中科院分区:
文献类型:
--
作者:
Shi Xiaocheng;Xu Shengyuan;Chen Weimin;Li Yongmin;Zhang Zhengqiang
This paper focuses on the problem of adaptive neural tracking control for a class of uncertain switched nonlinear time-varying delay systems in nonstrict-feedback form with arbitrary switchings. Radial basis function neural networks are used to model the unknown redefined continuous functions derived from Young’s inequalities. By combining bounding functions’ monotonously increasing property and variable separation technique, the uncertain system functions with nonstrict-feedback structure are dealt with such that iterative adaptive backstepping approach can be carried out. A newly developed Lyapunov–Krasovskii functional is utilized to compensate for the uncertainties of multiple time-varying delays, which makes the delay nonlinearities free from any assumptions. By introducing novel continuous functions, the problem of circular construction of controller is overcome deduced from employing one common tuning law. It is proved that the tracking error of adaptive neural control systems is semi-globally uniformly ultimately bounded with common Lyapunov function method. Finally, a simulation example is presented to show the effectiveness of the suggested control scheme.
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