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Feedback control systems01:26

Feedback control systems

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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
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Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
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Linear time-invariant Systems01:23

Linear time-invariant Systems

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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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Root-Locus Method

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A cruise control system in a car is designed to maintain a specified speed automatically by adjusting the gas pedal. The system continuously measures the vehicle's speed and makes fine adjustments to the pedal to achieve this goal. The root locus method is particularly useful for understanding how the cruise control system's behavior changes under varying conditions, such as when the car goes uphill, downhill, or faces strong wind resistance.
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Controller Configurations

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Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
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Proportional Integral (PI) controllers are a fundamental component in modern control systems, widely used to enhance performance and mitigate steady-state errors. They are particularly effective in applications such as automatic brightness adjustment on smartphones, where they excel at mitigating steady-state errors for step-function inputs. Unlike PD controllers, which require time-varying errors to function optimally, PI controllers leverage their integral component to address residual...
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Optimal H∞ Control for Lateral Dynamics of Autonomous Vehicles.

Gianfranco Gagliardi1, Marco Lupia1, Gianni Cario1

  • 1Dipartimento di Ingegneria Elettronica, Informatica e Sistemistica (DIMES), Universitá della Calabria, 87036 Rende, CS, Italy.

Sensors (Basel, Switzerland)
|July 2, 2021
PubMed
Summary

This study introduces a robust H∞ lateral controller for autonomous vehicles, enhancing trajectory tracking and minimizing errors. The model-based approach ensures stability despite speed variations, validated through co-simulation.

Keywords:
H∞ controlautomotive controlautonomous vehicleslateral controllinear matrix inequalitiespath trackingsteering angle control

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Area of Science:

  • Robotics and Control Systems
  • Autonomous Vehicle Navigation
  • Computer Vision

Background:

  • Autonomous vehicles require precise lateral control for safe navigation.
  • Real-time trajectory following necessitates robust control strategies.
  • Variations in vehicle speed can challenge lateral stability and tracking accuracy.

Purpose of the Study:

  • To design and validate a model-based H∞ vehicle lateral controller.
  • To minimize position and orientation tracking errors for autonomous vehicles.
  • To ensure robust performance against longitudinal speed variations.

Main Methods:

  • Development of a model-based H∞ lateral controller.
  • Integration of video-processing and lane-detection algorithms for real-time trajectory computation.
  • Utilizing Linear Matrix Inequality (LMI) optimization for controller design.
  • Co-simulation in Matlab/Simulink and Carsim for validation.

Main Results:

  • The controller effectively minimizes position and orientation tracking errors.
  • Achieved robust closed-loop system performance despite longitudinal speed changes.
  • Demonstrated good control performance in a simulated environment.

Conclusions:

  • The proposed H∞ lateral controller is effective for autonomous vehicle trajectory following.
  • The model-based approach provides robustness against speed variations.
  • Co-simulation validates the practical applicability of the control strategy.