非线性闭环系统的虚拟参考反馈校正控制设计

Virtual Reference Feedback Tuning Control Design for Nonlinear Closed-Loop Systems

针对闭环非线性系统中的控制器为一非线性函数的情况,采用虚拟参考反馈校正控制的设计原理,根据控制器的输入—输出观测数据构造一个基于输出数据的线性仿射函数。通过最小化逼近误差,利用系统辨识的参数估计方法求取线性仿射函数中可调参数权值,从而采用一个含可调参数权值的线性仿射形式来逼近原非线性控制器,通过对参数权值的调整使得逼近误差较小,并给出参数权值的凸优化求解过程。最后用仿真算例验证方法的有效性和可行性。

For the situation that the controller＇s expression in a nonlinear closed loop system is a nonlinear function, we constructed a linear affine function of the output data based on the parameter estimation iterative method by using the virtual reference feedback tuning control design principle. Through minimizing the approximation error, we could seek the adjustable weights in the linear affine function by using the parameter estimation method of system identification theory. Then we could approximate the former nonlinear controller using a linear affine function, which included some adjustable weights. Finally, the efficiency and possibility of the proposed strategy was verified by the simulation results.