A Comparison between Integer Order and Non-integer Order Controllers Applied to a Water Levelling System

Kania, Bartosz; Dziwiński, Tomasz; Bauer, Waldemar; Zagórowska, Marta; Baranowski, Jerzy

doi:10.7494/automat.2014.18.2.71

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, many practical engineering systems cannot be well explained in the framework of integer-order dynamics, such as electromagnetic waves, the heat flux of the thermal field of the furnace wall, food seeking of microbes, and underwater vehicles operating in lentic lakes [7,8]. Furthermore, it was pointed out in [9,10] that the well-studied integer-order systems are just the special cases of fractional-order ones. From an implementation point of view, multiagent systems with fractional-order dynamics are an important issue.…”

Section: Introductionmentioning

confidence: 99%

Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator

Yang

Zhu

2017

Discrete Dynamics in Nature and Society

View full text Add to dashboard Cite

In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies 0 < < 2. Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.Hindawi

show abstract

Section: Introductionmentioning

confidence: 99%