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The Scientific World Journal
Volume 2013, Article ID 467276, 13 pages
http://dx.doi.org/10.1155/2013/467276
Research Article

Identification of Input Nonlinear Control Autoregressive Systems Using Fractional Signal Processing Approach

1Department of Electronic Engineering, International Islamic University, Islamabad 44000, Pakistan
2Department of Electrical Engineering, COMSATS Institute of Information Technology, Attock Campus, Attock 43600, Pakistan
3Pakistan Institute of Engineering and Applied Sciences, Nilore, Islamabad 45650, Pakistan

Received 29 March 2013; Accepted 30 May 2013

Academic Editors: M. F. G. Penedo and A. Ruano

Copyright © 2013 Naveed Ishtiaq Chaudhary et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [24 citations]

The following is the list of published articles that have cited the current article.

  • Shujaat Khan, Muhammad Usman, Imran Naseem, Roberto Togneri, and Mohammed Bennamoun, “A robust variable step size fractional least mean square (RVSS-FLMS) algorithm,” 2017 IEEE 13th International Colloquium on Signal Processing & its Applications (CSPA), pp. 1–6, . View at Publisher · View at Google Scholar
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  • Jawwad Ahmad, Muhammad Usman, Shujaat Khan, Imran Naseem, and Hassan Jamil Syed, “RVP-FLMS: A robust variable power fractional LMS algorithm,” 2016 6th IEEE International Conference on Control System, Computing and Engineering (ICCSCE), pp. 494–497, . View at Publisher · View at Google Scholar
  • Shujaat Khan, Naveed Ahmed, Muhammad Ammar Malik, Imran Naseem, Roberto Togneri, and Mohammed Bennamoun, “FLMF: Fractional least mean fourth algorithm for channel estimation in non-Gaussian environment,” 2017 International Conference on Information and Communication Technology Convergence (ICTC), pp. 466–470, . View at Publisher · View at Google Scholar
  • Shujaat Khan, Muhammad Usman, Imran Naseem, Roberto Togneri, and Mohammed Bennamoun, “VP-FLMS: A Novel Variable Power Fractional LMS Algorithm,” 2017 Ninth International Conference on Ubiquitous and Future Networks (ICUFN), pp. 290–295, . View at Publisher · View at Google Scholar
  • Muhammad Asif Zahoor Raja, and Naveed Ishtiaq Chaudhary, “Two-stage fractional least mean square identification algorithm for parameter estimation of CARMA systems,” Signal Processing, 2014. View at Publisher · View at Google Scholar
  • Muhammad Saeed Aslam, and Muhammad Asif Zahoor Raja, “A new adaptive strategy to improve online secondary path modeling in active noise control systems using fractional signal processing approach,” Signal Processing, 2014. View at Publisher · View at Google Scholar
  • Muhammad Asif Zahoor Raja, and Naveed Ishtiaq Chaudhary, “Adaptive strategies for parameter estimation of Box-Jenkins systems,” Iet Signal Processing, vol. 8, no. 9, pp. 968–980, 2014. View at Publisher · View at Google Scholar
  • Limin Zhang, Changchun Hua, and Xinping Guan, “Structure and parameter identification for Bayesian Hammerstein system,” Nonlinear Dynamics, 2014. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, and Muhammad Asif Zahoor Raja, “Identification of Hammerstein nonlinear ARMAX systems using nonlinear adaptive algorithms,” Nonlinear Dynamics, 2014. View at Publisher · View at Google Scholar
  • Yun Tan, Zhiqiang He, and Baoyu Tian, “A Novel Generalization of Modified LMS Algorithm to Fractional Order,” Ieee Signal Processing Letters, vol. 22, no. 9, pp. 1244–1248, 2015. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, and Anees Ur Rehman Khan, “Design of modified fractional adaptive strategies for Hammerstein nonlinear control autoregressive systems,” Nonlinear Dynamics, 2015. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, and Muhammad Asif Zahoor Raja, “Design of fractional adaptive strategy for input nonlinear Box–Jenkins systems,” Signal Processing, 2015. View at Publisher · View at Google Scholar
  • Christophe Corbier, Mohamed El Badaoui, and Hector Manuel Romero Ugalde, “Huberian Approach for Reduced Order ARMA Modeling of Neurodegenerative Disorder Signal,” Signal Processing, 2015. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, Muhammad Asif Zahoor Raja, Muhammad Saeed Aslam, and Naseer Ahmed, “Novel generalization of Volterra LMS algorithm to fractional order with application to system identification,” Neural Computing and Applications, 2016. View at Publisher · View at Google Scholar
  • Yinggan Tang, Zhenzhen Han, Ying Wang, Linlin Zhang, and Qiushen Lian, “A changing forgetting factor RLS for online identification of nonlinear systems based on ELM–Hammerstein model,” Neural Computing and Applications, 2016. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, Syed Zubair, and Muhammad Asif Zahoor Raja, “Design of momentum LMS adaptive strategy for parameter estimation of Hammerstein controlled autoregressive systems,” Neural Computing and Applications, 2016. View at Publisher · View at Google Scholar
  • Muhammad Asif Zahoor Raja, Abbas Ali Shah, Ammara Mehmood, Naveed Ishtiaq Chaudhary, and Muhammad Saeed Aslam, “Bio-inspired computational heuristics for parameter estimation of nonlinear Hammerstein controlled autoregressive system,” Neural Computing and Applications, 2016. View at Publisher · View at Google Scholar
  • Houda Salhi, and Samira Kamoun, “Combined Parameter and State Estimation Algorithms for Multivariable Nonlinear Systems Using MIMO Wiener Models,” Journal of Control Science and Engineering, vol. 2016, pp. 1–12, 2016. View at Publisher · View at Google Scholar
  • Songsong Cheng, Yiheng Wei, Yuquan Chen, Yan Li, and Yong Wang, “An innovative fractional order LMS based on variable initial value and gradient order,” Signal Processing, vol. 133, pp. 260–269, 2017. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, Syed Zubair, and Muhammad Asif Zahoor Raja, “A new computing approach for power signal modeling using fractional adaptive algorithms,” ISA Transactions, 2017. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, Muhammad Anwaar Manzar, and Muhammad Asif Zahoor Raja, “Fractional Volterra LMS algorithm with application to Hammerstein control autoregressive model identification,” Neural Computing and Applications, 2018. View at Publisher · View at Google Scholar
  • Sadiq Akbar, Fawad Zaman, Muhammad Asif, Ata Ur Rehman, and Muhammad Asif Zahoor Raja, “Novel application of FO-DPSO for 2-D parameter estimation of electromagnetic plane waves,” Neural Computing and Applications, 2018. View at Publisher · View at Google Scholar
  • Naveed Ishtiaq Chaudhary, Zeshan Aslam khan, Syed Zubair, Muhammad Asif Zahoor Raja, and Nebojsa Dedovic, “Normalized fractional adaptive methods for nonlinear control autoregressive systems,” Applied Mathematical Modelling, vol. 66, pp. 457–471, 2019. View at Publisher · View at Google Scholar