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Related Concept Videos

Root-Locus Method

Root-Locus Method

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...

PI Controller: Design

PI Controller: Design

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...

Time and frequency -Domain Interpretation of PI Control

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...

Pole and System Stability

Pole and System Stability

The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...

PD Controller: Design

PD Controller: Design

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,...

Plotting and Calibrating the Root Locus

Plotting and Calibrating the Root Locus

Root loci often diverge as system poles shift from the real axis to the complex plane. Key points in this transition are the breakaway and break-in points, indicating where the root locus leaves and reenters the real axis. The branches of the root locus form an angle of 180/n degrees with the real axis, where n is the number of branches at a breakaway or break-in point.
The maximum gain occurs at the breakaway points between open-loop poles on the real axis, while the minimum gain is...

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Related Experiment Video

Updated: Jan 13, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Proportional Control with Pole-Placement-Tuned Gains for GPS-Based Waypoint Following, Experimentally Validated

Heonjong Yoo¹, Wanyoung Chung¹

¹Department of Electronic Engineering, Pukyong National University, Busan 48513, Republic of Korea.

Sensors (Basel, Switzerland)

|January 10, 2026

Summary

This summary is machine-generated.

This study presents a novel algorithm for mobile platform navigation using Global Positioning System (GPS) points. The method enables precise path following and trajectory tracking, validated through simulations and real-world experiments.

Keywords:

application program-ming interface cornering indexing method global positioning system point state flow block trajectory tracking like goalpoint following vector definition

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Last Updated: Jan 13, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

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Area of Science:

Robotics
Navigation Systems
Control Theory

Background:

Accurate path following is crucial for autonomous mobile platforms.
Existing methods may lack precision in real-world environments.

Purpose of the Study:

To design and validate a goal point following algorithm using exact Global Positioning System (GPS) points.
To extend the goal point following method for trajectory tracking.

Main Methods:

Utilized the Naver Application Programming Interface (API) map to recursively obtain GPS points.
Calculated the initial GPS point and heading angle.
Designated GPS points as goal points for path generation.
Extended the method to trajectory tracking by defining vectors.

Main Results:

Demonstrated successful goal point following based on a generated path from map data.
Validated the algorithm's effectiveness through simulation.
Confirmed the algorithm's performance in real-world experiments with a mobile platform.

Conclusions:

The proposed algorithm enables precise mobile platform navigation using GPS data.
The extension to trajectory tracking enhances the algorithm's applicability for complex maneuvers.