变量泵控制变量马达系统建模及控制

摘要

The variablepump controlling variablemotor （VPCVM） is an essential nonlinear system with dualinput, singleoutput 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 BangBang 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 BangBang 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.%变量泵控制变量马达系统是一个双输入单输出耦合本质非线性系统，常规控制方法很难取得满意的控制效果．针对变量泵控制变量马达系统非线性和不可解耦的特点，提出基于线性化理论的变量泵变量马达Bang-Bang控制算法．首先建立变量泵控制变量马达系统数学模型，模型存在包括输出变量在内的相乘非线性，然后运用反馈线性化理论将非线性数学模型线性化，最后提出新的Bang-Bang控制算法实现变量马达的快速控制．仿真研究表明该算法可以实现系统快速控制，效果优于目前常规控制方法，而且算法对马达转速和负载变化都具有较强的鲁棒性．