2019
DOI: 10.1016/j.jfranklin.2019.01.022
|View full text |Cite
|
Sign up to set email alerts
|

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

Abstract: 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 control, a sufficient and necessary condition for output feedback control is proposed by adopting matrix variable decoupling technique. The developed results are more general and efficient than the existing works, especially for the output feedback case. Finally, two illustrative examples are given to verify the effectiveness… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

0
30
0

Year Published

2019
2019
2023
2023

Publication Types

Select...
7

Relationship

1
6

Authors

Journals

citations
Cited by 51 publications
(30 citation statements)
references
References 31 publications
0
30
0
Order By: Relevance
“…Until now, there have been limited studies on the stability and stabilization of SFOS with uncertainties [11,[17][18][19][20][21]. Ref.…”
Section: Introductionmentioning
confidence: 99%
“…Until now, there have been limited studies on the stability and stabilization of SFOS with uncertainties [11,[17][18][19][20][21]. Ref.…”
Section: Introductionmentioning
confidence: 99%
“…It can describe some systems more accurately than the traditional integer order method and has been widely applied in fields in engineering and physics, such as system biology, physics, chemistry, automatic control, materials science, engineering, etc. More and more fractional order systems have been studied, especially in tracking control performance and stability analysis . Y. Wei et al propose a variety of methods for the stabilization of fractional order systems .…”
Section: Introductionmentioning
confidence: 99%
“…Y. Wei et al propose a variety of methods for the stabilization of fractional order systems . Sufficient and necessary conditions for stabilizing singular fractional order systems are given in Reference . For a class of continuous‐time fractional positive systems, stabilization control is addressed based on disturbance observer in Reference .…”
Section: Introductionmentioning
confidence: 99%
“…To improve the robustness of the system, we mainly proceed from two aspects, namely, modeling and control schemes. In terms of modeling, as a generalization from traditional calculus, fractional calculus enjoys both conciseness and veracity in complex system modeling, parameter estimation and control . Fractional‐order system (FOS) theory, as well as fractional‐order controller design, has attracted lots attention in recent years.…”
Section: Introductionmentioning
confidence: 99%