吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (4): 1057-1061.doi: 10.13229/j.cnki.jdxbgxb201404024

Previous Articles     Next Articles

Iterative robust filtering for uncertain systems with missing measurements

FENG Jian-xin, WANG Ting-feng, GUO Jin   

  1. State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
  • Received:2013-02-21 Online:2014-07-01 Published:2014-07-01

RICH HTML

0   

PDF (PC)

405

Abstract: An iterative robust filtering algorithm was proposed for a class of dynamic systems with input uncertainties, model parameter uncertainties and missing measurements. A norm-bounded variable was used to describe the system input uncertainties and model parameter uncertainties. The phenomenon that the measured data is missing during the transmission obeys a stochastic binary switch sequence with a known conditional probability distribution. A least-square robust filter was obtained via min-max game theory. Then, on this basis, the desired iterative robust filter was designed via an iterative tactic. Simulation results demonstrate the effectiveness of the proposed approaches.

Key words: automatic control technology, uncertainty, missing measurements, game theory, iterative robust filtering

CLC Number: 

  • TP273
[1] Sayed A H. A framework for state-space estimate with uncertain models[J]. IEEE Transactions on Automatic Control, 2001, 46(7): 998-1013.
[2] Bertsekas D P, Rhodes I B. Recursive state estimate for a set membership description of uncertainty[J]. IEEE Transactions on Automatic Control, 1971, 16(2): 117-128.
[3] Gingras D F. Robust broadband matched-field processing: performance in shallow water[J]. IEEE Journal of Oceanic Engineering, 1993, 18(3): 253-264.
[4] Wei G L, Wang Z D, Shu H S.Robust filtering with stochastic nonlinearities and multiple missing measurements[J]. Automatica, 2009, 45(3):836-841.
[5] Xu S Y, Chen T W.Robust H ∞ filtering for uncertain impulsive stochastic systems under sampled measurements[J].Automatica, 2003, 39(3):509-516.
[6] Gao H J, Wang C H. A delay dependent approach to robust H ∞ filtering for uncertain discrete-time sate-delay systems[J]. IEEE Transactions on Signal Processing, 2004, 52(6): 1631-1640.
[7] Yang F W, Wang Z D, Hung Y H, et al. Mixed H 2 / H ∞ filtering for uncertain systems with regional pole assignment[J]. IEEE Transaction on Aerospace and Electronic Systems, 2005, 41(2): 438-448.
[8] Cong S, Hong L, Layne J R. Iterative robust filter for ground target tracking[J]. IET Control Theory Applications, 2007, 1(1):372-380.
[9] Feng J X, Zeng M. Descriptor recursive estimation for multiple sensors with different delay rates[J]. International Journal of Control, 2011, 84(3):584-596.
[10] Feng J X, Wang Z D, Zeng M. Optimal robust non-fragile Kalman-type recursive filtering with finite-step autocorrelated noises and multiple packet dropouts[J]. Aerospace Science and Technology, 2011, 15(6):486-494.
[11] Feng J X, Wang Z D, Zeng M. Recursive robust filtering with finite-step correlated process noises and missing measurements[J]. Circuits, Systems, and Signal Processing, 2011, 30(6): 1366-1368.
[12] Nahi N. Optimal recursive estimation with uncertain observation[J]. IEEE Transactions on Information Theory, 1969, 15(4): 457-462.
[1] GU Wan-li,WANG Ping,HU Yun-feng,CAI Shuo,CHEN Hong. Nonlinear controller design of wheeled mobile robot with H∞ performance [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1811-1819.
[2] LI Zhan-dong,TAO Jian-guo,LUO Yang,SUN Hao,DING Liang,DENG Zong-quan. Design of thrust attachment underwater robot system in nuclear power station pool [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(6): 1820-1826.
[3] WANG De-jun, WEI Wei-li, BAO Ya-xin. Actuator fault diagnosis of ESC system considering crosswind interference [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1548-1555.
[4] YAN Dong-mei, ZHONG Hui, REN Li-li, WANG Ruo-lin, LI Hong-mei. Stability analysis of linear systems with interval time-varying delay [J]. Journal of Jilin University(Engineering and Technology Edition), 2018, 48(5): 1556-1562.
[5] TIAN Yan-tao, ZHANG Yu, WANG Xiao-yu, CHEN Hua. Estimation of side-slip angle of electric vehicle based on square-root unscented Kalman filter algorithm [J]. 吉林大学学报(工学版), 2018, 48(3): 845-852.
[6] ZHANG Shi-tao, ZHANG Bao, LI Xian-tao, WANG Zheng-xi, TIAN Da-peng. Enhancing performance of FSM based on zero phase error tracking control [J]. 吉林大学学报(工学版), 2018, 48(3): 853-858.
[7] ZHANG Wei-wei, HE Jia-feng, GAO Guo-wang, REN Li-li, SHEN Xuan-jing. Wireless Mesh network routing and channel allocation union optimization algorithm based on game theory [J]. 吉林大学学报(工学版), 2018, 48(3): 887-892.
[8] WANG Lin, WANG Hong-guang, SONG Yi-feng, PAN Xin-an, ZHANG Hong-zhi. Behavior planning of a suspension insulator cleaning robot for power transmission lines [J]. 吉林大学学报(工学版), 2018, 48(2): 518-525.
[9] HU Yun-feng, WANG Chang-yong, YU Shu-you, SUN Peng-yuan, CHEN Hong. Structure parameters optimization of common rail system for gasoline direct injection engine [J]. 吉林大学学报(工学版), 2018, 48(1): 236-244.
[10] ZHANG Wei-wei, HE Jia-feng, GAO Guo-wang, REN Li-li, SHEN Xuan-jing. Routing and channel allocation union optimization in hybrid wireless mesh network [J]. 吉林大学学报(工学版), 2018, 48(1): 268-273.
[11] ZHU Feng, ZHANG Bao, LI Xian-tao, WANG Zheng-xi, ZHANG Shi-tao. Gyro signal processing based on strong tracking Kalman filter [J]. 吉林大学学报(工学版), 2017, 47(6): 1868-1875.
[12] JIN Chao-qiong, ZHANG Bao, LI Xian-tao, SHEN Shuai, ZHU Feng. Friction compensation strategy of photoelectric stabilized platform based on disturbance observer [J]. 吉林大学学报(工学版), 2017, 47(6): 1876-1885.
[13] JIANG Lai-wei, SHA Xue-jun, WU Xuan-li, ZHANG Nai-tong. Novel joint user association and resource allocation method in LTE-A HetNets [J]. 吉林大学学报(工学版), 2017, 47(6): 1926-1932.
[14] JIANG Hai-yu, LIU Yu-hai, SUN Hai-lin, XU Ke-bin, BAI Tian-zeng, CHEN Zu-bin. Stratum undulation velocity model optimization algorithm for microseismic monitoring on surface [J]. 吉林大学学报(工学版), 2017, 47(6): 1969-1975.
[15] FENG Jian-xin. Recursive robust filtering for uncertain systems with delayed measurements [J]. 吉林大学学报(工学版), 2017, 47(5): 1561-1567.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright © Journal of Jilin University(Engineering and Technology Edition), All Rights Reserved.
Tel: +86-431-85095297　Fax: +86-431-85094074　E-mail: xbgxb@jlu.edu.cn
Powered by Beijing Magtech Co. Ltd