Global Exponential Stabilization of Freeway Models

TL;DR

This paper develops feedback laws ensuring robust global exponential stability for discrete-time freeway models, using control Lyapunov functions, and compares their performance with existing methods through simulations.

Contribution

It introduces a novel feedback law construction based on control Lyapunov functions for freeway models, enhancing stability and robustness.

Findings

Feedback laws guarantee exponential stability

Simulations show improved robustness against measurement errors

Comparison indicates advantages over existing feedback methods

Abstract

This work is devoted to the construction of feedback laws which guarantee the robust global exponential stability of the uncongested equilibrium point for general discrete-time freeway models. The feedback construction is based on a control Lyapunov function approach and exploits certain important properties of freeway models. The developed feedback laws are tested in simulation and a detailed comparison is made with existing feedback laws in the literature. The robustness properties of the corresponding closed-loop system with respect to measurement errors are also studied.