DocumentCode :
3537126
Title :
Analysis and synthesis of interconnected SISO positive systems with switching
Author :
Ebihara, Yoshio ; Peaucelle, Dimitri ; Arzelier, Denis
Author_Institution :
Dept. of Electr. Eng., Kyoto Univ., Kyoto, Japan
fYear :
2013
fDate :
10-13 Dec. 2013
Firstpage :
6372
Lastpage :
6378
Abstract :
This paper addresses the analysis and synthesis of interconnected systems constructed from SISO positive subsystems and a nonnegative interconnection matrix. We focus on the case where the interconnection matrix switches over a finite set of given nonnegative matrices. By analyzing the existence of a first integral, we clarify a condition under which the state of the interconnected system, starting from any nonnegative initial state, becomes nonnegative and bounded under arbitrary switching. By extending this result, we establish a linear-programming-based method to synthesize the interconnection matrices to achieve a switching formation control of multi-agent positive systems.
Keywords :
control system synthesis; interconnected systems; linear programming; matrix algebra; multi-agent systems; time-varying systems; SISO positive subsystems; arbitrary switching; interconnected systems synthesis; linear-programming-based method; multi-agent positive systems; nonnegative interconnection matrix; switching formation control; Eigenvalues and eigenfunctions; Interconnected systems; Lyapunov methods; Multi-agent systems; Switches; Zinc; first integral; interconnected positive system; multi-agent system; switching formation control;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
ISSN :
0743-1546
Print_ISBN :
978-1-4673-5714-2
Type :
conf
DOI :
10.1109/CDC.2013.6760897
Filename :
6760897
Link To Document :
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