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根据三相四桥臂逆变器的工作原理,应用开关函数建立了控制系统数学模型,引入开关周期平均算子将离散的系统转化为连续系统.根据系统的主要控制目标选取状态变量、输入变量和输出变量,得到适合于微分几何方法的3输入3输出的仿射非线性系统模型.根据非线性微分几何理论,从理论上证明了该模型满足多输入、多输出系统精确线性化的条件,推导出非线性状态反馈控制律.对非线性坐标变换后得到的线性系统,利用二次型最优控制策略时,根据无源性控制方法的思想,提出一种闭环系统能量函数,并推导出权矩阵的参数形式.将最优化得到的控制律进行逆变换来实现原系统的优化控制设计.仿真结果验证了该方法的有效性和正确性.
According to the working principle of the three-phase four-leg inverter, a mathematical model of the control system is established by using the switching function, and the average value of the switching period is introduced to convert the discrete system into a continuous system.According to the main control objectives of the system, And output variables, and get the 3-input-3-output affine nonlinear system model which is suitable for the differential geometry method.According to the nonlinear differential geometry theory, it is theoretically proved that this model satisfies the conditions of the precise linearization of the multi-input and multi-output systems, The nonlinear state feedback control law is deduced.According to the idea of passive control method, a quadratic optimal control strategy is proposed for a linear system transformed from a nonlinear coordinate system, and a closed-loop system energy function is derived and derived The matrix of parameters is obtained by inverse transformation of the optimal control law to achieve the optimal control design of the original system.The simulation results verify the effectiveness and correctness of the proposed method.