Modeling and control for variable-pump controlling variable-motor
变量泵控制变量马达系统建模及控制

The variable-pump controlling variable-motor (VPCVM) is an essential nonlinear system with dual-input, single-output and coupling, for which regular control algorithms are ineffective to achieve the required control performances. Based on linearization theory for VPCVM, we propose an improved Bang-Bang control algorithm for tackling the nonlinearity and the unsolvable coupling. First we develop a mathematical model of VPCVM involving the multiplication nonlinearity with the output variable; and then, we linearize the model by using the feedback linearization theory. Based on the linearized model, we develop the improved Bang-Bang control algorithm to achieve the rapid control for VPCVM. Simulation results demonstrate that the proposed algorithm realizes the desired rapid control on VPCVM with performances higher than that of conventional control methods. Furthermore, this algorithm exhibits a strong robustness against the variations of rotational speed and load.