一类对称非线性系统的约束自校正控制器

A class of constraint self-tuning controller with symmetric nonlinear system

针对MIMO随机广义Hammerstein模型,从实际工程对象的物理意义出发,分析了其不能描述"对称非线性系统"的问题。在模型中加入控制输入的符号函数,提出一可描述"对称非线性系统"的MIMO随机广义Hammerstein模型。在目标函数中加入控制输入的高次项和其符号函数提出一超二次型目标函数。对控制输入加入饱和限幅限制,给出了改进的MIMO随机广义Hammerstein模型的约束自校正控制器算法,适用于开环不稳定的"非最小相位"系统。提出一控制策略使算法无稳态偏差,且控制输入收敛于以原点为中心的变化域内。采用约束最优化的投影梯度法和无约束最优化的变尺度算法对目标函数寻优,证明了可行域内所有点均可作为投影梯度算法的初始可行点,并证明了线性不等式约束的任意紧约束组合时其可行域即为正则域。仿真研究表明了上述研究的合理性和有效性。

In this paper,the monochromatic color coordinate data characteristics in the range of 380 ~ 830nm wavelength was studied, the incident on the R,G,B three-color measurement of discrete data after calculation,conversion,ultimately wavelength value of the mathematical model was described,the structure principle and the research process,different segmentation methods for getting computational model of discrete data continuous function were proposed,data conversions through the model was achieved.The studies show that the chromatic diagram discrete data curve fitting to derive the wavelength has a smaller error.This method can meet the requirements of the spectral data measurement and analysis.