具有频率不确定性的π型谐振感应电能传输系统H_∞控制方法

H_∞ Control Method with Frequency Uncertainty for π Type Resonant Inductive Power Transfer System

在型谐振感应电能传输(inductive power transfer,IPT)系统中,由于负载及耦合参数变化,导致系统谐振频率产生随机漂移。针对频率不确定条件下的输出控制,利用广义状态空间平均(generalized state space averaging,GSSA)法对系统进行频域建模,将状态变量进行频域展开获得广义状态变量,从而获得线性状态空间模型。借助线性分式变换,将GSSA模型的确定部分与不确定部分分离,从而将系统的不确定模型转化为含摄动反馈的线性动力学系统。在此基础上提出一种基于GSSA模型的H_∞控制方法,又基于频域设计出混合灵敏度H_∞控制器,实现了多变量无静差跟踪鲁棒控制,并利用结构奇异值分析方法校验了鲁棒控制器的稳定性及性能。仿真及实验结果验证了其可行性。

In the π type inductive power transfer（IPT） System,due to random change of load and mutual couple parameters,the operating frequency of the IPT system drifts away from the designed frequency randomly.This paper presents a system output control method under uncertain frequency condition.This method utilizes generalized state space averaging（GSSA） method to transform the nonlinear system model in time domain to the linear model in frequency domain.And the complex state variables were also detached to real and imaginary parts respectively to acquire a real coefficients state space model.Furthermore,the method utilizes linear fractional transformation to detach the certainty part and uncertainty part from the state space model.And the model was transformed to a linear state space model with perturbation feedback.A H∞ control method and a mixed sensitivity controller were presented for the model.The performance of the robust controller was given with aid of structured singular value analysis.Simulation and experiment results were also given to verify the control method.