多因素多水平复杂正交试验的方差分析

Analysis of Variance in Multi-factor and Multi-level Complex Orthogonal Experiments

在时滞控制系统的正交试验中,受到干扰性因素的影响,容易产生控制误差,提出一种基于多因素多水平的复杂正交试验方差分析模型。构建多因素多水平复杂正交试验条件下的时滞控制对象模型,采用时滞双曲微分方程进行多因素多水平复杂正交试验的边界条件分析。结合时滞补偿方法和稳态误差分析方法,进行多因素多水平复杂正交试验控制,对Lyapunov稳定性理论对时滞环节进行渐进误差补偿,在不确定建模误差条件下,实现多因素多水平的随机时延控制和方差分析。仿真结果表明,采用该模型进行多因素多水平复杂正交试验,时滞控制的方程较小,收敛性较强,具有很好稳态控制性能。

In the orthogonal experiment of time -delay control system, it is easy to produce control error because of the influence of disturbance factors. A complex orthogonal test variance analysis model based on multi -factor and multi - level was proposed. The time - delay control plant model was constructed under the condition of multi - factors and multi - level complex orthogonal experiments, were the boundary conditions of multi - factor and multi - level complex orthog- onal experiments were analyzed by using hyperbolic differential equations with time delay. Combined with time -delay compensation method and steady -state error analysis method, multi -factor and multi -level complex orthogonal experiment control was carried out, and the Lyapunov stability theory was applied to compensate the delay link gradually, under the condition of uncertain modeling error. Multi -factor and multi -level stochastic time delay control and ANOVA were realized. The simulation results showed that adopting the multi -factor and multi -level complex orthogonal experiments, the equation of time - delay control is small, the convergence is strong, and the model has good steady - state control performance.