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首页> 外文会议>Multidisciplinary International Symposium on Positive Systems: Theory and Applications >On Robust Pseudo State Estimation of Fractional Order Systems
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On Robust Pseudo State Estimation of Fractional Order Systems

机译：稳健伪状态估计分数阶系统

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摘要

The goal of this chapter is to design robust observers for fractional dynamic continuous-time linear systems described by pseudo state space representation. The fractional observer is guaranteed to compute a domain enclosing all the system pseudo states that are consistent with the model, the disturbances and the measurement noise realizations. Uncertainties on the initial pseudo state and noises are propagated in a reliable way to estimate the bounds of the fractional pseudo state. Only the bounds of the uncertainties are used and no additional assumptions about their stationarity or ergodicity are taken into account. A fractional observer is firstly built for a particular case where the estimation error can be designed to be positive. Then, the general case is investigated through changes of coordinates. Some numerical simulations illustrate the proposed methodology.
机译：本章的目的是为伪状态空间表示描述的分数动态连续时间线性系统设计强大的观察者。分数观察者保证计算包含与模型，干扰和测量噪声实现一致的所有系统伪状态的域。初始伪状态和噪声的不确定性以可靠的方式传播，以估计分数伪状态的范围。仅使用不确定性的范围，考虑到他们的实体性或遍历的额外假设。首先为特定情况构建分数观察者，其中估计误差可以设计为正。然后，通过坐标的变化来研究一般情况。一些数值模拟说明了所提出的方法。

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