Iterative parameter and order identification for fractional‐order nonlinear finite impulse response systems using the key term separation

J Wang, Y Ji, C Zhang - … Journal of Adaptive Control and Signal …, 2021 - Wiley Online Library
This article considers the parameter estimation for a fractional‐order nonlinear finite impulse
response system with colored noise. For the fractional‐order systems, the challenge and …

The innovation algorithms for multivariable state‐space models

F Ding, X Zhang, L Xu - … Journal of Adaptive Control and Signal …, 2019 - Wiley Online Library
This paper derives the input‐output representation of the dynamical system described by a
linear multivariable state‐space model and the corresponding multivariate linear regressive …

Extended state observer based fractional order sliding mode control for steer‐by‐wire systems

Q Shi, S He, H Wang, V Stojanovic… - IET Control Theory & …, 2024 - Wiley Online Library
In this paper, an extended state observer based fractional‐order sliding mode control
strategy is studied for vehicle steer‐by‐wire systems (SBWSs). The parameter perturbation …

A survey of fractional order calculus applications of multiple-input, multiple-output (MIMO) process control

AM Almeida, MK Lenzi, EK Lenzi - Fractal and Fractional, 2020 - mdpi.com
Multiple-input multiple-output (MIMO) systems are usually present in process systems
engineering. Due to the interaction among the variables and loops in the MIMO system …

Novel adaptive control approach to fractal fractional order deforestation model and its impact on soil erosion

P Priya, A Sabarmathi, A Akgül, MK Hassani - Scientific Reports, 2024 - nature.com
Deforestation exerts profound ramifications on soil quality and biodiversity, thereby exerting
substantial economic repercussions. The depletion of organic matter and structural integrity …

Identification for Hammerstein nonlinear systems based on universal spline fractional order LMS algorithm

S Cheng, Y Wei, D Sheng, Y Wang - Communications in Nonlinear Science …, 2019 - Elsevier
In this paper, we investigate the identification problem of the Hammerstein nonlinear
systems. In order to approximate the nonlinear block and for the convenience of analyzing …

Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems

Y Wei, Y Chen, J Wang, Y Wang - Communications in Nonlinear Science …, 2019 - Elsevier
Fractional order systems in continuous time case are shown to be infinite-dimensional,
which is an essential feature used for analysis and synthesis. The objective of this paper is …

An improved pseudo-state estimator for a class of commensurate fractional order linear systems based on fractional order modulating functions

YQ Wei, DY Liu, D Boutat, YM Chen - Systems & Control Letters, 2018 - Elsevier
In this paper, a non-asymptotic pseudo-state estimator for a class of commensurate
fractional order linear systems is designed in noisy environment. Different from existing …

Design of unknown‐input reduced‐order observers for a class of nonlinear fractional‐order time‐delay systems

DC Huong, MV Thuan - … Journal of Adaptive Control and Signal …, 2018 - Wiley Online Library
This paper considers the design of reduced‐order state observers for fractional‐order time‐
delay systems with Lipschitz nonlinearities and unknown inputs. By using the Razumikhin …

Robust finite-time stability and stabilization of a class of fractional-order switched nonlinear systems

VT Mai, CH Dinh - Journal of Systems Science and Complexity, 2019 - Springer
This paper deals with the problem of finite-time boundedness and finite-time stabilization
boundedness of fractional-order switched nonlinear systems with exogenous inputs. By …