Analysis and Synthesis of Interconnected Positive Systems with External Inputs. Issue 14 (2015)

• Record Type: Journal Article
• Authors: Ebihara, Yoshio; Matsumura, Taiki; Hagiwara, Tomomichi; Peaucelle, Dimitri; Arzelier, Denis
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 14(2015)
• Page Start: 161
• Page End: 166
• Publication Date: 2015
• Subjects: positive system -- interconnection -- formation control -- time-headway control of vehicle platoon; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.09.451
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper, we deal with an interconnected system constructed from positive subsystems and a nonnegative interconnection matrix. In particular, motivated by leader-follower-type formation control of multi-agent systems, we concentrate our attention on the case where external inputs are applied to the interconnected system. By analyzing the steady-state output of the interconnected system with respect to step and ramp inputs, respectively, we derive synthesis conditions on the interconnection matrix to achieve formation-control-oriented design objectives. We finally illustrate the usefulness of theoretical results via numerical simulation on time-headway control of vehicle platoons.