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
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;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760897