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调节系统状态方程的计算机解法的核心是求取状态转移矩阵。状态空间分析法是现代控制论的基础,由于应用了数字电子计算机,高阶状态方程的求解也变得容易,而状态空间分析法就具有了巨大的生命力。系统的状态方程的求解,无论是齐次的,还是非齐次,其核心都是求取状态转移矩阵,下面仅举一例说明如何应用数字电子计算机求取状态转移矩阵。汽轮机的调节系统的方框图如下:
The key to the computer method of adjusting the system state equation is to find the state transition matrix. State space analysis is the basis of modern cybernetics. Because of the application of digital electronic computer, the solution of higher-order state equations becomes easier, and the state-space analysis has tremendous vitality. The solution of the state equation of the system, whether it is homogeneous or non-homogeneous, is to find the state transition matrix. The following is an example of how to apply the digital computer to obtain the state transition matrix. The block diagram of the turbine’s regulating system is as follows: