Sufficient Conditions for String Stability

TL;DR

This paper introduces new trajectory-based and Lyapunov-based methods to verify string stability in interconnected systems, specifically homogeneous bidirectional strings, with applications to vehicle cruise control design.

Contribution

It presents novel tools for verifying string stability in interconnected systems, extending analysis techniques to homogeneous bidirectional strings with practical vehicle control applications.

Findings

Developed trajectory-based and Lyapunov-based verification methods

Applied results to cruise controller design for vehicle strings

Enhanced understanding of stability conditions in interconnected systems

Abstract

Zhong-Ping Jiang devoted a large part of his work to the study of the stability properties of interconnected systems. In this short paper we celebrate Zhong-Ping Jiang's 60th birthday by studying a special class of families of interconnected systems: the so-called strings. We develop trajectory-based and Lyapunov-based tools that allow the verification of string stability to homogeneous bidirectional strings. The obtained results are applied to the problem of cruise controller design for a string of vehicles.