【摘要】：在非線性模型參數(shù)失配下,直接采用濾波算法很難獲到理想的估計(jì)狀態(tài).本文基于擴(kuò)展集員估計(jì)方法,在狀態(tài)估計(jì)中引入?yún)?shù)的不確定信息,提出一種參數(shù)失配有界下的狀態(tài)估計(jì)方法.該方法應(yīng)用區(qū)間或集合運(yùn)算的法則,計(jì)算由參數(shù)失配引起的偏差范圍,并將其用橢球集外包.在狀態(tài)估計(jì)的預(yù)測步,通過該偏差橢球集與先驗(yàn)橢球區(qū)間的并運(yùn)算,得到預(yù)測橢球區(qū)間;在狀態(tài)估計(jì)的更新步,利用觀測橢球集對預(yù)測橢球區(qū)間進(jìn)行更新,從而得到后驗(yàn)橢球集合以及狀態(tài)估計(jì)值.最后,在數(shù)值仿真和發(fā)酵模型中的仿真應(yīng)用驗(yàn)證了算法的有效性.
[Abstract]:Under the condition of parameter mismatch of nonlinear model, it is difficult to obtain the ideal estimation state by using filtering algorithm directly. In this paper, based on the extended set member estimation method, the uncertain information of parameters is introduced into the state estimation, and a state estimation method with parameter mismatch bound is proposed. In this method, the algorithm of interval or set operation is used to calculate the deviation range caused by parameter mismatch, and the ellipsoid set is used to outsource it. In the prediction step of state estimation, the prediction ellipsoid interval is obtained by the union operation between the deviated ellipsoid set and the prior ellipsoid interval. In the updating step of state estimation, the prediction ellipsoid interval is updated by using the observed ellipsoid set, and the posterior ellipsoid set and the state estimation value are obtained. Finally, the effectiveness of the algorithm is verified by the simulation applications in numerical simulation and fermentation model.
【作者單位】： 江南大學(xué)輕工過程先進(jìn)控制教育部重點(diǎn)實(shí)驗(yàn)室;
【基金】：國家自然科學(xué)基金項(xiàng)目(61573169)資助~~
【分類號】：TP301.6

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