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
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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:
Journal of the Franklin Institute
影响因子:
--
通讯作者:
Zhang Zhengqiang
Zhang Zhengqiang
中科院分区:
其他
文献类型:
--
作者:
Shi Xiaocheng;Xu Shengyuan;Chen Weimin;Li Yongmin;Zhang Zhengqiang

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研究一类具有任意切换的非严格反馈形式的不确定非线性时变时滞切换系统的自适应神经跟踪控制问题。利用径向基函数神经网络对由Young不等式导出的未知重定义连续函数进行建模。结合边界函数的单调递增性质和变量分离技术,对具有非严格反馈结构的不确定系统函数进行处理,从而实现迭代自适应反演方法。一个新开发的Lyapunov-Krasovskii泛函被用来补偿多个时变时滞的不确定性,这使得时滞非线性不受任何假设。通过引入新的连续函数,克服了采用一种常用的整定律所导致的控制器循环构造的问题。利用公共李雅普诺夫函数方法证明了自适应神经控制系统的跟踪误差是半全局一致最终有界的。最后,通过仿真实例验证了所提控制方案的有效性。
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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