Preliminary Investigation of Mesh Stability for Linear Systems

Author:

Seiler Pete1,Pant Aniruddha1,Hedrick J. K.1

Affiliation:

1. University of California at Berkeley

Abstract

Abstract Damping of disturbances as they propagate through a chain of interconnected systems, termed string stability, has been the subject of significant research. In this paper, we investigate mesh stability, which is the two-dimensional extension of string stability. We review the key results used for string stability analysis and then generalize the conditions for MIMO systems. These results are then applied to a simple class of linear systems which form a mesh in two-dimensions. It is shown (as in the one-dimensional case) that communicating the velocity and acceleration of the lead vehicle to all subsystems is sufficient for mesh stability. This result is then verified by simulation.

Publisher

American Society of Mechanical Engineers

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