化工自动化及仪表
化工自動化及儀錶
화공자동화급의표
Control and Instruments in Chemical Industry
2015年
10期
1099-1103,1108
,共6页
王秋平%韩磊%张淼%彭飞
王鞦平%韓磊%張淼%彭飛
왕추평%한뢰%장묘%팽비
卡尔曼滤波算法%非线性观测光电跟踪系统%非线性滤波%增广状态%状态估计
卡爾曼濾波算法%非線性觀測光電跟蹤繫統%非線性濾波%增廣狀態%狀態估計
잡이만려파산법%비선성관측광전근종계통%비선성려파%증엄상태%상태고계
Kalman filtering algorithm%nonlinear observation of electro-optical tracking system%nonlinear filtering%augmented state%state estimation
由于观测时滞系统的观测方程不符合卡尔曼滤波算法的实现形式,导致传统卡尔曼滤波算法无法直接应用于观测时滞离散系统. 为此,在借鉴系统状态增广方法的基础上,设计了一种将观测方程转换为无时滞观测方程的方法. 同时根据卡尔曼滤波算法原理,针对变换后的无时滞系统模型方程,给出观测时滞卡尔曼滤波算法的步骤,并将此方法应用到实际非线性观测光电跟踪系统中,进行算法的性能对比. 仿真实验结果证明:将时滞观测方程转换为无时滞观测方程的方法是可行的,可大幅度提高算法精度.
由于觀測時滯繫統的觀測方程不符閤卡爾曼濾波算法的實現形式,導緻傳統卡爾曼濾波算法無法直接應用于觀測時滯離散繫統. 為此,在藉鑒繫統狀態增廣方法的基礎上,設計瞭一種將觀測方程轉換為無時滯觀測方程的方法. 同時根據卡爾曼濾波算法原理,針對變換後的無時滯繫統模型方程,給齣觀測時滯卡爾曼濾波算法的步驟,併將此方法應用到實際非線性觀測光電跟蹤繫統中,進行算法的性能對比. 倣真實驗結果證明:將時滯觀測方程轉換為無時滯觀測方程的方法是可行的,可大幅度提高算法精度.
유우관측시체계통적관측방정불부합잡이만려파산법적실현형식,도치전통잡이만려파산법무법직접응용우관측시체리산계통. 위차,재차감계통상태증엄방법적기출상,설계료일충장관측방정전환위무시체관측방정적방법. 동시근거잡이만려파산법원리,침대변환후적무시체계통모형방정,급출관측시체잡이만려파산법적보취,병장차방법응용도실제비선성관측광전근종계통중,진행산법적성능대비. 방진실험결과증명:장시체관측방정전환위무시체관측방정적방법시가행적,가대폭도제고산법정도.
The observation equation of the observing time-delay system doesn' t conform to the realization form of Kalman filtering algorithm, this results in Kalman filtering algorithm' s incapability of being directly applied to observing the traditional time-delay discrete system.Basing on the method of augmented state, the way to convert observation equation to an equation without time delay was proposed.According to the principle of Kal-man filtering algorithm and aiming at the model equation of non-delay system transformed, the steps of observ-ing time-delay Kalman filtering algorithm were presented and applied to the nonlinear observation of electro-op-tical tracking system.Comparing and simulating the algorithms' performance show that converting the time-de-lay observation equation to the one without time-delay is feasible and it can greatly improve the algorithm accu-racy.