基于降维切换观测器的切换系统扰动输入估计

Disturbance input estimation for a class of switched systems based on reduced-order switched observer

针对一类具有扰动输入的不确定线性切换系统,提出了一种切换系统状态估计和扰动输入估计方法。通过输出矩阵变换和状态等价变换,解耦原切换系统的未知干扰输入,得到不受扰动输入影响的降维切换系统,并在此基础上设计切换降维观测器,以实现对切换系统状态的渐近估计;然后,通过考虑高增益滑模微分器,对系统的输出微分进行渐近估计,从而在切换系统状态和输出微分估计的基础上,提出一种扰动输入的重构方法。通过对切换系统实例进行数值仿真,验证了所提方法的有效性。

The methods of state estimation and disturbance input reconstruction are discussed for a class of uncertain switched systems. The disturbance input of switched systems is decoupled by a state equivalent transformation,and a switched reduced-order observer which can asymptotically estimate the states of a switched system is developed. Then,a high-gain sliding mode differentiator used to estimate the derivatives of system outputs is proposed. Based on the estimations of both states and derivatives of system outputs,a kind of unknown information estimating method which can reconstruct disturbance inputs of the switched system is provided. A numerical example illustrates the effectiveness of the proposed method.