34、电压源逆变器供电的三相异步电动机的非线性最优控制

电压源逆变器供电的三相异步电动机的非线性最优控制

1. 电压源逆变器供电的感应电动机动态模型

电压源逆变器（VSI）供电的感应电动机的动态模型由以下一组方程构成，这些方程描述了电动机在不同状态变量下的动态特性：
- (\dot{x} 1 = x_2) (65)
- (\dot{x}_2 = \mu x_3 x_5 - \frac{T_L}{J}) (66)
- (\dot{x}_3 = -a x_3 + a M x_4) (67)
- (\dot{x}_4 = -\gamma x_4 + \alpha \beta x_3 + n_p x_2 x_5 + \frac{\alpha M x_5^2}{x_3} + \frac{1}{\sigma L_s} x_7) (68)
- (\dot{x}_5 = -\gamma x_5 - \beta n_p x_2 x_3 - n_p x_2 x_4 - \frac{\alpha M x_4 x_5}{x_3} + \frac{1}{\sigma L_s} x_8) (69)
- (\dot{x}_6 = -n_p x_2 + \frac{a M x_5}{x_3}) (70)
- (\dot{x}_7 = \omega x_8 + \frac{1}{C_f} x_9 - \frac{1}{C_f} \left[ \frac{p_f x_7 + q_f x_8}{x_7^2 + x_8^2} + \omega C_f x_8 - \frac{\omega L_f x_8 (x_9^2 + x {10}^2)}{x_7^2 + x_8^2} \right]) (71)
- (\do