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针对含有多个未知非线性项的非线性系统难于控制的问题,提出利用Chebyshev正交函数构建基于神经网络滤波器的控制器,并在权值学习误差有界和跟踪误差有界条件下,通过李雅普诺夫稳定性定理确定控制器的权值,保证了非线性系统的H∞鲁棒控制.最后,利用所提出算法对非线性系统的滤波器和控制器进行确定,仿真结果验证了该方法的有效性.
Aiming at the problem that the nonlinear system containing many unknown nonlinear terms is difficult to control, a controller based on the neural network filter based on Chebyshev’s orthogonal function is proposed. Under the condition of bounded weight learning error and bounded tracking error, The Lyapunov stability theorem determines the weight of the controller and guarantees the H∞ robust control of the nonlinear system.Finally, the proposed algorithm is used to determine the nonlinear system’s filter and controller. The simulation results verify the proposed method Effectiveness.