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Related Concept Videos

PD Controller: Design01:26

PD Controller: Design

624
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
624
Controller Configurations01:22

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.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
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Root-Locus Method01:19

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.
This system can be represented by a block...
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Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

377
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.
Consider the example of control of motor torque. Initially, a positive...
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Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

394
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
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PID Controller01:19

PID Controller

649
Proportional-Integral-Derivative (PID) controllers are widely used in various control systems to enhance stability and performance. In a thermostat, it adjusts heating or cooling based on the temperature difference between the actual and desired levels. They are often used in automotive speed systems, effectively managing sudden speed changes while maintaining a constant speed under varying conditions. On the other hand, PI controllers, commonly employed in voltage regulation, enhance stability...
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PD Control with Feedforward Compensation for String Stable Cooperative Adaptive Cruise Control in Vehicle Platoons.

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String Stability Analysis and Design Guidelines for PD Controllers in Adaptive Cruise Control Systems.

Kangjun Lee1,2, Chanhwa Lee1,2

  • 1Department of Artificial Intelligence and Robotics, Sejong University, Seoul 05006, Republic of Korea.

Sensors (Basel, Switzerland)
|September 19, 2025
PubMed
Summary

This study offers a practical guideline for adaptive cruise control (ACC) parameter selection, ensuring vehicle stability and string stability in platooning. It simplifies tuning proportional-derivative (PD) controllers for ACC systems.

Keywords:
PD controladaptive cruise controlindividual vehicle stabilityplatoonstring stability

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Area of Science:

  • Automotive Engineering
  • Control Systems Theory
  • Robotics

Background:

  • Adaptive Cruise Control (ACC) systems are crucial for vehicle automation.
  • Ensuring string stability in vehicle following is essential for safe platooning.
  • Current ACC parameter selection methods can be complex for practitioners.

Purpose of the Study:

  • To propose a practical design guideline for ACC control parameter selection.
  • To ensure both individual vehicle stability and string stability in vehicle following.
  • To provide a clear methodology for tuning proportional-derivative (PD) controllers.

Main Methods:

  • Utilizing a proportional-derivative (PD) controller for ACC systems.
  • Developing a methodology for tuning proportional and derivative gains.
  • Analyzing necessary and sufficient conditions for PD gain selection.

Main Results:

  • Demonstrated effective string stability achievement with a simple PD control structure.
  • Provided practical guidelines for implementing ACC parameter selection.
  • Validated the design guideline through simulations in realistic driving scenarios.

Conclusions:

  • The proposed guideline simplifies ACC parameter selection for practitioners.
  • The PD controller approach ensures vehicle and string stability in platooning.
  • This methodology is highly applicable for real-world ACC and vehicle following applications.