Interval State Estimation for a Class of Nonlinear Systems
Interval State Estimation for a Class of Nonlinear Systems
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DOI：
10.1109/tac.2011.2164820
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发表时间：
2012-01-01
影响因子：
6.8
通讯作者：
Zolghadri, Ali
中科院分区：
文献类型：
--
作者：
Raissi, Tarek;Efimov, Denis;Zolghadri, Ali
本技术说明的目的是为一类非线性连续时间系统设计区间观测器。这项工作的第一部分表明，它通常是可能的设计一个区间观测器的线性系统通过线性时不变的坐标变化，即使系统是不合作的。这一结果被推广到一类非线性系统的部分精确线性化。所提出的观测器保证包含与模型、干扰和测量噪声一致的系统状态集。此外，它只假设测量噪声和干扰是有界的，没有任何额外的信息，如平稳性，不相关性或类型的分布。通过数值仿真说明了所提出的观测器。
The goal of this technical note is to design interval observers for a class of nonlinear continuous-time systems. The first part of this work shows that it is usually possible to design an interval observer for linear systems by means of linear time-invariant changes of coordinates even if the system is not cooperative. This result is extended to a class of nonlinear systems using partial exact linearisations. The proposed observers guarantee to enclose the set of system states that is consistent with the model, the disturbances and the measurement noise. Moreover, it is only assumed that the measurement noise and the disturbances are bounded without any additional information such as stationarity, uncorrelation or type of distribution. The proposed observer is illustrated through numerical simulations.