输出非对称死区的非严格反馈非线性系统控制

本文研究了具有输出非对称死区和状态含未知控制方向的非严格反馈非线性系统, 设计了稳定的自适应 神经网络控制器. 首先, 针对输出非对称死区的问题, 本文采用死区逆的方法, 构造光滑模型逼近原死区模型. 其 次, 在控制器设计过程中, 基于障碍Lyapunov函数的构造, 动态面控制和反步法, 设计出自适应控制信号, 虚拟控制 信号和实际控制信号. 通过稳定性分析, 证明所设计的神经网络控制器可以保证闭环系统内所有信号是半全局一致 最终有界. 最后, 通过MATLAB数值仿真, 说明所设计控制器的有效性.

Nonstrict feedback nonlinear system control with asymmetric dead zone output

This paper studies the nonstrict feedback nonlinear systems with output asymmetric dead zone and unknown control directions. A stable adaptive neural network controller is designed in this paper. First of all, in order to deal with the problem of output asymmetric dead zone, a smooth model is constructed to approximate the original dead zone model by making use of the dead zone inverse method. Then, during the controller designing procedure, the adaptive control signals, the virtual control signals and an actual control signal are designed based on the construction of barrier Lyapunov function, dynamic surface control and backstepping method. The stability analysis proves that the proposed neural network controller in this paper can guarantee that all the signals which are in the closed-loop system are semiglobal uniformly ultimately bounded. Finally, the effectiveness of the controller which is proposed in this paper could be testified by numerical simulations on MATLAB.