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| Design of adaptive neural network controller for a class of multiple time-delays nonlinear system |
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U Shu-rong1,XUE Xiu-li1,YANG Qing2
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(1. College of Information and Control Engineering in China University of Petroleum, Dongying 257061,Shandong Province，China;2. Institute of Petroleum Engineering，Heriot-Watt University，Edinburgh, EH144AS, UK)
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| Abstract: |
| An adaptive wavelet neural network ( WNN) controller was designed for a class of parametric strict-feedback multiple time-delays nonlinear system. Based on the backstepping technique, a Lyapunov-Krasovskii functional is constructed at each step and the controller u is obtained at the last step. By using the law of Lyapunov-Krasovskii functional stability, the semi-global uniform ultimate boundedness ( SGUUB) of all the signals in the closed-loop system was proved. At last, the feasibility of this controller was illustrated by a simulation example. |
| Key words: multiple time-delays adaptive control wavelet neural network Lyapunov-Krasovskii functional backstepping design |
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