By Topic

Free-weighting matrices based approach to convergence criterion for the consensus of l-th order multiRobot systems with switching interconnection

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Zhang Qingjie ; Coll. of Mechatron. Eng. & Autom., Nat. Univ. of Defense Technol., Changsha, China ; Zhu Huayong

The distributed average consensus problem of l-th order multiRobot systems with multiple communication delays and switching topologies is discussed in this paper. Using the idea of state decomposition, the condition for guaranteeing average consensus is converted into verifying the stability of zero equilibrium of disagreement system. Considering multiple time-varying communication delays, common Lyapunov-Krasovskii functional is employed to analyze the stability of zero equilibrium. In order to relax the conservativeness, Free-weighting Matrices method is employed in the main results. After matrix order-reduced treatment, the tolerant upper bounds on communication delays can be obtained through solving feasible linear matrix inequalities (LMIs). Numerical examples and simulations are given to demonstrate the effectiveness of the proposed method. Different with the existing literature, the proposed LMI based delay-dependent stability criterion is characterized by lower conservativeness, simple formation of the solution, and wide range of time-varying delays.

Published in:

Control Conference (CCC), 2011 30th Chinese

Date of Conference:

22-24 July 2011