Abstract

This paper deals with a new robust control design for autonomous vehicles. The goal is to perform lane-keeping under various constraints, mainly unknown curvature and lateral wind force. To reach this goal, a new formulation of Parallel Distributed Compensation (PDC) law is given. The quadratic Lyapunov stability and stabilization conditions of the discrete-time Takagi–Sugeno (T-S) model representing the autonomous vehicles are discussed. Sufficient design conditions expressed in terms of strict Linear Matrix Inequalities (LMIs) extracted from the linearization of the Bilinear Matrix Inequalities (BMIs) are proposed. An illustrative example is provided to show the effectiveness of the proposed approach.

Highlights

  • Autonomous vehicles require sensors to collect information about the road and a central processing unit to analyze all the data for making decisions appropriately

  • We present the results of the lateral control of autonomous vehicles for T-S

  • We proposed in this paper an improved Parallel Distributed Compensation law for lateral control purpose, suggesting new steering control architecture of autonomous vehicles

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Summary

Introduction

Autonomous vehicles require sensors to collect information about the road and a central processing unit to analyze all the data for making decisions appropriately. These authors achieved very interesting results regarding lateral control based on Takagi–Sugeno models Various constraints such as road with unknown curvature, steering saturation and lateral wind force, sweeping into large range of vehicle longitudinal speed and exploiting an approximated vector state containing six intern variables for effective control were fully used in their work. We introduce a new mathematical term in the classic PDC control law; this term is composed of the optimized gains times the gradient term of the state vector This is to make the trajectory slides faster to the global minimum of the ellipsoid shape created by the Lyapunov function applied to the T-S system. The third section presents the control design for discrete-time T-S systems, which focuses on the stabilization of discrete-time T-S fuzzy system based on the new PDC control law and the synthesis of multi-observers. The last section presents the new results and compares them with previous results

Lateral Dynamics Model of the Vehicle
Road-Vehicle Positioning
Steering System Model
Vehicle Control-Based Model
Discrete-Time Takagi-Sugeno System
Autonomous Vehicles’ Stabilization
Developing of Nonlinear Luenberger Observer
Application of the Lateral Control for Autonomous Vehicles
Results
Conclusions
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