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Distributed Control for Multiagent Consensus Motions with Nonuniform Time Delays
- Source :
- Mathematical Problems in Engineering, Vol 2016 (2016)
- Publication Year :
- 2016
- Publisher :
- Hindawi Limited, 2016.
-
Abstract
- This paper solves control problems of agents achieving consensus motions in presence of nonuniform time delays by obtaining the maximal tolerable delay value. Two types of consensus motions are considered: the rectilinear motion and the rotational motion. Unlike former results, this paper has remarkably reduced conservativeness of the consensus conditions provided in such form: for each system, if all the nonuniform time delays are bounded by the maximal tolerable delay value which is referred to as “delay margin,” the system will achieve consensus motion; otherwise, if all the delays exceed the delay margin, the system will be unstable. When discussing the system which is intended to achieve rotational consensus motion, an expanded system whose state variables are real numbers (those of the original system are complex numbers) is introduced, and corresponding consensus condition is given also in the form of delay margin. Numerical examples are provided to illustrate the results.
- Subjects :
- 0209 industrial biotechnology
State variable
Article Subject
General Mathematics
lcsh:Mathematics
Control (management)
General Engineering
Rotation around a fixed axis
Motion (geometry)
02 engineering and technology
lcsh:QA1-939
020901 industrial engineering & automation
Control theory
lcsh:TA1-2040
Bounded function
Linear motion
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
lcsh:Engineering (General). Civil engineering (General)
Complex number
Real number
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 15635147
- Volume :
- 2016
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....ef0b630fe3f87aaab3dce65204cfc791