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Orthogonal Trajectories

Orthogonal Trajectories

Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...

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Updated: May 10, 2026

The Modular Design and Production of an Intelligent Robot Based on a Closed-Loop Control Strategy

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Recent Advances in Trajectory Planning and Object Recognition for Robot Sensing and Control.

Gang Peng¹, Zhun Fan²

¹School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China.

Sensors (Basel, Switzerland)

|July 27, 2024

Summary

Trajectory planning and control technology is widely used across many sectors, including industry, agriculture, and disaster management. This technology is crucial for efficient operations in diverse applications.

Area of Science:

Robotics and Automation
Control Systems Engineering

Background:

Trajectory planning and control technology is a cornerstone of modern automation.
Its applications span diverse fields from industrial manufacturing to critical infrastructure inspection.

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