Abstract
This paper studies the H∞ consensus problem of multi-agent systems by means of a simultaneous stabilization approach. It is shown that the H∞ consensus design problem for n coupled agents can be equivalently characterized as a problem of the simultaneous H∞ stabilization of n − 1 independent subsystems. A new consensus analysis condition is obtained by investigating the corresponding simultaneous H∞ stabilization problem. Based upon the analysis condition, a necessary and sufficient condition is derived to guarantee the consensus of multi-agent systems with a prescribed H∞ performance, where the controller gain matrix is not coupled with the Lyapunov matrices, but parametrized by a positive-definite matrix. Iterative convex optimization approaches are further developed to solve the synthesis condition and to choose the initial values. Finally, a numerical example is given to show the applicability of the results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: IMA Journal of Mathematical Control and Information
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
