Advanced search
Publication Cover
International Journal of Control Volume 83, 2010 - Issue 4
Submit an article Journal homepage
106
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

Approximate finite-dimensional filtering for polynomial states over polynomial observations

Michael Basin Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Apdo postal 144-F, C.P. 66450, San Nicolas de los Garza, Nuevo Leon, MexicoCorrespondence[email protected]
,
Peng Shi Faculty of Advanced Technology, Department of Computing and Mathematical Sciences, University of Glamorgan, Pontypridd CF37 1DL, UK; School of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia
&
Dario Calderon-Alvarez Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Apdo postal 144-F, C.P. 66450, San Nicolas de los Garza, Nuevo Leon, Mexico
Pages 724-730 | Received 08 May 2009, Accepted 06 Oct 2009, Published online: 19 Nov 2009

Citations (19)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Manuel Jiménez-Lizárraga, Michael V. Basin, Victoria Celeste Rodríguez Carreón & Pablo Cesar Rodríguez Ramírez. (2014) Output mini-max control for polynomial systems: analysis and applications. International Journal of Systems Science 45:9, pages 1880-1891.
Read now
Kumar Pakki Bharani Chandra, Da-Wei Gu & Ian Postlethwaite. (2014) A cubature H∞ filter and its square-root version. International Journal of Control 87:4, pages 764-776.
Read now

Articles from other publishers (17)

Xianye Bu, Hongli Dong, Zidong Wang & Hongjian Liu. (2019) Non-Fragile Distributed Fault Estimation for a Class of Nonlinear Time-Varying Systems Over Sensor Networks: The Finite-Horizon Case. IEEE Transactions on Signal and Information Processing over Networks 5:1, pages 61-69.
Crossref
Xianye Bu, Hongli Dong, Weijian Ren, Li Yang & Nan Hou. (2016) Distributed fault estimation for time-varying systems with randomly occurring nonlinearities over sensor networks. Distributed fault estimation for time-varying systems with randomly occurring nonlinearities over sensor networks.
M. V. Basin. (2016) Root-mean-square filtering of the state of polynomial stochastic systems with multiplicative noise. Automation and Remote Control 77:2, pages 242-260.
Crossref
Xue Luo, Yang Jiao, Wen-Lin Chiou & Stephen S.-T. Yau. (2015) A novel suboptimal method for solving polynomial filtering problems. Automatica 62, pages 26-31.
Crossref
Yang Liu, Zidong Wang, Xiao He & D.H. Zhou. (2015) Filtering and fault detection for nonlinear systems with polynomial approximation. Automatica 54, pages 348-359.
Crossref
Yuanchun Li, Tianhao Ma & Bo Zhao. (2015) Neural Network Control for the Probe Landing Based on Proportional Integral Observer. Mathematical Problems in Engineering 2015, pages 1-10.
Crossref
Michael Basin & Pablo Rodriguez-Ramirez. (2014) Sliding mode filtering for stochastic systems with polynomial state and observation equations. Journal of the Franklin Institute 351:4, pages 2203-2217.
Crossref
A. Kumar, S. Suman & G.K. Singh. (2014) A new closed form method for design of variable bandwidth linear phase FIR filter using different polynomials. AEU - International Journal of Electronics and Communications 68:4, pages 351-360.
Crossref
Hua-Ming Qian, Wei Huang, Biao Liu & Chen Shen. (2014) A Robust Recursive Filter for Nonlinear Systems with Correlated Noises, Packet Losses, and Multiplicative Noises. Mathematical Problems in Engineering 2014, pages 1-12.
Crossref
Hongli Dong, Zidong Wang & Huijun Gao. (2013) Distributed ${\cal H}_{\infty}$ Filtering for a Class of Markovian Jump Nonlinear Time-Delay Systems Over Lossy Sensor Networks. IEEE Transactions on Industrial Electronics 60:10, pages 4665-4672.
Crossref
Jun Hu, Zidong Wang, Huijun Gao & Lampros K. Stergioulas. (2012) Extended Kalman filtering with stochastic nonlinearities and multiple missing measurements. Automatica 48:9, pages 2007-2015.
Crossref
Derui Ding, Zidong Wang, Hongli Dong & Huisheng Shu. (2012) Distributed state estimation with stochastic parameters and nonlinearities through sensor networks: The finite-horizon case. Automatica 48:8, pages 1575-1585.
Crossref
Hongli Dong, Zidong Wang & Huijun Gao. (2012) Distributed Filtering for a Class of Time-Varying Systems Over Sensor Networks With Quantization Errors and Successive Packet Dropouts. IEEE Transactions on Signal Processing 60:6, pages 3164-3173.
Crossref
H.K. Sahoo, P.K. Dash & N.P. Rath. (2012) Frequency estimation of distorted non-stationary signals using complex H∞ filter. AEU - International Journal of Electronics and Communications 66:4, pages 267-274.
Crossref
Michael Basin, Santiago Elvira-Ceja & Edgar N. Sanchez. (2012) Mean-square H∞ filtering for stochastic systems: Application to a 2DOF helicopter. Signal Processing 92:3, pages 801-806.
Crossref
Zhang Zexu, Wang Weidong, Li Litao, Huang Xiangyu, Cui Hutao, Li Shuang & Cui Pingyuan. (2012) Robust sliding mode guidance and control for soft landing on small bodies. Journal of the Franklin Institute 349:2, pages 493-509.
Crossref
Michael Basin & Pablo Rodriguez-Ramirez. (2012) Sliding mode filtering for polynomial states over polynomial observations. Sliding mode filtering for polynomial states over polynomial observations.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.