Local and String Stability Conditions of a Generalized Adaptive Cruise Control System

This paper presents strong conditions for local and string stability of an adaptive cruise control system. The conditions presented are straightforward and reduce the linearization steps, generally used for stability analyses, to simple coefficient analyses. They are derived using the concepts of linear control theory and linearization. Moreover, the presented approach includes the overdamped dynamics for stability. The overdamped collective dynamics presented in this paper provides strong string stability conditions, however such characteristic has been generally neglected for string stability analysis.