基于高阶滑模观测器的状态和未知输入同时估计方法

The Simultaneous Estimations of the States and the Unknown Inputs Based on the High-order Sliding Mode Observers

  • 摘要: 对一类含有未知输入的仿射非线性系统,讨论了一种能同时估计系统状态和未知输入的未知输入观测器设计方法.首先利用李导数对仿射非线性系统进行线性化, 将其转化为可控标准型.其次,针对变化后的等价系统,提出了一种高阶、高增益滑模观测器,由此不仅能得到系统状态的估计,同时还得到状态微分的估计. 再次,基于状态及其微分的估计,对未知输入提出了一种重构方法.该方法能对强时变未知输入重构,而且重构中没有用到系统微分的信息.最后, 通过对两个实际模型的仿真,表明了方法的可行性.

     

    Abstract: A design method of unknown input observer which is able to estimate simultaneously the system states and the unknown inputs for affine nonlinear systems with unknown inputs is discussed. First, the affine nonlinear system is linearized by using Lie derivative and transformed into a controlled normalized form. Second, for the transformed equivalent system, a higher-order high-gain sliding mode observer, which is able to estimate not only the system states but also their state differentials, is developed. Furthermore, a way to reconstruct the unknown inputs is proposed based on the estimated states and their differentials. The proposed method can reconstruct large time-varying unknown inputs while system differential information isn't reqired. Finally, two simulation examples on real models are given to verify the effectiveness of the proposed method.

     

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