Zhang Bo, Shen Haibin, Yan Guangming, Sun Xiaojun
Electrical Engineering Institute, Heilongjiang University, Harbin 150080, China.
Comput Intell Neurosci. 2022 Aug 24;2022:9637801. doi: 10.1155/2022/9637801. eCollection 2022.
The purpose of this study was to investigate the state estimation problem for the multisensor descriptor fractional systems. Firstly, the descriptor fractional order system was transformed into two nondescriptor fractional order subsystem based on the singular value decomposition method; then, the descriptor fractional Kalman filters for the subsystems were proposed based on projection theory, which effectively solved the state estimation problem of the descriptor fractional order system with singular matrix; on this basis, the track fusion fractional Kalman filter of the multisensor descriptor fractional system is proposed by using the track fusion algorithm. The state estimation accuracy of multisensor descriptor fractional order systems is greatly improved. Simulation results show the effectiveness of the proposed algorithm.
本研究的目的是研究多传感器广义分数阶系统的状态估计问题。首先，基于奇异值分解方法将广义分数阶系统转化为两个非广义分数阶子系统；然后，基于投影理论提出了子系统的广义分数阶卡尔曼滤波器，有效解决了奇异矩阵广义分数阶系统的状态估计问题；在此基础上，利用航迹融合算法提出了多传感器广义分数阶系统的航迹融合分数阶卡尔曼滤波器。多传感器广义分数阶系统的状态估计精度得到了很大提高。仿真结果表明了所提算法的有效性。
