Dual Quaternion Control for Moving Object Entry Angle
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Solution Overview
Problem
Current technologies fail to accurately control the trajectory of moving objects to enter a target point at a desired angle, despite advancements in trajectory guidance algorithms for various moving objects like drones and spacecraft.
Innovation Solution
An apparatus and method utilizing a dual quaternion system to control both the trajectory and position of moving objects, where the error quaternion is used to adjust the trajectory and position control units, allowing for precise entry angles by integrating rotational and translational motion in a three-dimensional space.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If various trajectory guidance algorithms are introduced to move a moving object to a target point, then the moving object can reach the target point, but the moving object cannot accurately enter the target point at a desired angle
Solution Approach 1:
The patent transforms the control problem by changing the parameter representation from separate position and orientation controls to a unified dual quaternion parameterization. This allows simultaneous control of both position and entry angle through a single mathematical framework, achieving accurate angle control without proportionally increasing system complexity
Solution Approach 2:
The patent merges position control and orientation control into a unified dual quaternion-based control system. By combining these previously separate control functions into one integrated mathematical representation, the system achieves coordinated control of both position and entry angle while reducing overall control complexity
2Manufacturing precision
If traditional trajectory control methods are used, then the moving object can move from start point to target point, but the trajectory cannot be controlled to achieve desired entry angle
Solution Approach 1:
The patent achieves precise trajectory control by changing the mathematical parameters from separate position and orientation variables to dual quaternion parameters. This parameter transformation enables unified control of trajectory shape and entry angle, achieving higher precision without requiring more complex control algorithms
Solution Approach 2:
The dual quaternion framework serves multiple functions simultaneously: it represents position, orientation, and trajectory information in a unified manner. This multi-functionality allows the same mathematical tool to control both the path trajectory and the final entry angle, reducing the need for separate control mechanisms
Data Source
AI summary
According to an embodiment of the present invention, an apparatus for controlling a moving object includes a trajectory control unit configured to control a trajectory of the moving object and a position control unit configured to control a position of the moving object. Thus, it is possible to control an angle at which the moving object enters a target point.