基于卡尔曼滤波的RLC电路状态估计

Kalman Filtering-based State Estimation for RLC Circuit

由电阻(R)、电感(L)、电容(C)所构成的二阶电路在自动控制、滤波等方面具有广泛应用。作者针对二阶或更高阶RLC电路存在求解复杂以及外界干扰影响的问题,建立高阶电路的状态方程和测量方程,采用卡尔曼滤波方法对所建立的状态空间模型进行状态估计,从而了解电流或电压在元件L以及C上的内部运行规律,最后,在不同外加激励作用下,论证了卡尔曼滤波方法对RLC电路状态估计的准确性。

The second-order circuit composed of resistor(R),inductor(L)and capacitor(C)is widely used in automatic control and fil-tering.Considering the complexity of solutions and the influence of external interference for second-order or higher-order RLC circuits,the state equations and measurement equations for RLC circuits are firstly established.Then,the Kalman Filter method is used to esti-mate the state of the established state space model,to understand the internal operation law of current or voltage on elements L and C.Finally,the accuracy of the Kalman Filter method in the RLC circuit is demonstrated under different external excitation.