Three‐stage forgetting factor stochastic gradient parameter estimation methods for a class of nonlinear systems

Y Ji, Z Kang - International Journal of Robust and Nonlinear …, 2021 - Wiley Online Library
This article focuses on the parameter estimation for a class of nonlinear systems, that is,
multi‐input single‐output or two‐input single‐output Hammerstein finite impulse response …

Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems

NI Chaudhary, MAZ Raja, ZA Khan, A Mehmood… - Chaos, Solitons & …, 2022 - Elsevier
The trend of developing fractional gradient based iterative adaptive strategies is evolved in
the recent years through effectively exploring the fractional and fractal dynamics. In this …

Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems

NI Chaudhary, MAZ Raja, Y He, ZA Khan… - Applied Mathematical …, 2021 - Elsevier
The development of procedures based on fractional calculus is an emerging research area.
This paper presents a new perspective regarding the fractional least mean square (FLMS) …

An interactive maximum likelihood estimation method for multivariable Hammerstein systems

D Wang, Q Fan, Y Ma - Journal of the Franklin Institute, 2020 - Elsevier
For a multivariable Hammerstein controlled autoregressive moving average system
(CARMA) system, the identification difficulty is hard to parameterize the system into an quasi …

[HTML][HTML] An innovative fractional order LMS algorithm for power signal parameter estimation

NI Chaudhary, R Latif, MAZ Raja… - Applied Mathematical …, 2020 - Elsevier
Parameter estimation is an important issue for the quality monitoring and reliability
assessment of power systems. In this study, an innovative fractional order least mean square …

Hierarchical quasi-fractional gradient descent method for parameter estimation of nonlinear ARX systems using key term separation principle

NI Chaudhary, MAZ Raja, ZA Khan, KM Cheema… - Mathematics, 2021 - mdpi.com
Recently, a quasi-fractional order gradient descent (QFGD) algorithm was proposed and
successfully applied to solve system identification problem. The QFGD suffers from the …

Fractional LMS and NLMS algorithms for line echo cancellation

AA Khan, SM Shah, MAZ Raja, NI Chaudhary… - Arabian Journal for …, 2021 - Springer
In long haul communication environments, speech data transmission is severely affected by
echoes. This phenomenon results in high bit errors as well as in degraded and annoying …

Fractional stochastic gradient descent for recommender systems

ZA Khan, NI Chaudhary, S Zubair - Electronic Markets, 2019 - Springer
Recently, recommender systems are getting popular in the e-commerce industry for
retrieving and recommending most relevant information about items for users from large …

[HTML][HTML] Normalized fractional adaptive methods for nonlinear control autoregressive systems

NI Chaudhary, S Zubair, MAZ Raja, N Dedovic - Applied Mathematical …, 2019 - Elsevier
The trend of applying mathematical foundations of fractional calculus to solve problems
arising in nonlinear sciences, is an emerging area of research with growing interest …

Design of sign fractional optimization paradigms for parameter estimation of nonlinear Hammerstein systems

NI Chaudhary, MS Aslam, D Baleanu… - Neural Computing and …, 2020 - Springer
Fractional calculus plays a fundamental role in understanding the physics of nonlinear
systems due to its heritage of uncertainty, nonlocality and complexity. In this study, novel …