Adaptive backstep** control for fractional order systems with input saturation

D Sheng, Y Wei, S Cheng, J Shuai - Journal of the Franklin Institute, 2017 - Elsevier
A fractional order adaptive backstep** control scheme is presented for an
incommensurate fractional order systems in the presence of input saturation. In order to …

The output feedback control synthesis for a class of singular fractional order systems

Y Wei, WT Peter, Z Yao, Y Wang - ISA transactions, 2017 - Elsevier
This paper investigates the output feedback normalization and stabilization for singular
fractional order systems with the fractional commensurate order α belonging to (0, 2). Firstly …

An innovative fractional order LMS based on variable initial value and gradient order

S Cheng, Y Wei, Y Chen, Y Li, Y Wang - Signal Processing, 2017 - Elsevier
This article presents a novel fractional order LMS (FOLMS) algorithm, which involves a
variable gradient order scheme. The fractional order gradient descent method is revisited …

Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state

Y Wei, J Wang, T Liu, Y Wang - Journal of the Franklin Institute, 2019 - Elsevier
This paper is concerned with the stabilization problem of singular fractional order systems
with order α∈(0, 2). In addition to the sufficient and necessary condition for observer based …

Distributed consensus control for a network of incommensurate fractional-order systems

M Shahvali, MB Naghibi-Sistani… - IEEE Control Systems …, 2019 - ieeexplore.ieee.org
This letter presents a distributed solution for consensus control of a network of single-
integrator incommensurate fractional-order systems with nonlinear and uncertain dynamics …

Completeness on the stability criterion of fractional order LTI systems

Y Wei, Y Chen, S Cheng, Y Wang - Fractional Calculus and Applied …, 2017 - degruyter.com
The importance of the concept of stability in fractional order system and control has been
recognized for some time now. Recently, it has become evident that many conclusions were …

Stability for nonlinear fractional order systems: an indirect approach

Y Chen, Y Wei, X Zhou, Y Wang - Nonlinear Dynamics, 2017 - Springer
In this paper, we first verify that fractional order systems using Caputo's or Riemann–
Liouville's derivative can be represented by the continuous frequency distributed model with …

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 …

Fractional order chattering-free robust adaptive backstep** control technique

Y Wei, D Sheng, Y Chen, Y Wang - Nonlinear Dynamics, 2019 - Springer
This paper proposes an observer-based fractional order robust adaptive backstep**
control scheme for incommensurate fractional order systems with partial measurable state …

A universal modified LMS algorithm with iteration order hybrid switching

S Cheng, Y Wei, Y Chen, S Liang, Y Wang - ISA transactions, 2017 - Elsevier
This paper presents a fractional order modified least square algorithm (FOMLMS), which
involves an iteration order switch strategy. A FOMLMS scheme whose iteration order can be …