Mobile Vehicle Path Tracking via Differential Model Optimization
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Conventional path tracking methods for mobile vehicles, such as smart lawnmowers, fail to accurately follow planned paths due to terrain fluctuations and component errors, leading to inaccuracies in tracking traveling paths.
Innovation Solution
A path tracking method that simplifies the mobile vehicle into a differential model, establishes a forward objective function, and uses optimal differential control variables to adjust the vehicle's speed and steering, ensuring accurate path tracking by minimizing mean square error through integrated navigation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional path tracking methods are used for mobile vehicles, then the system structure is simple, but the path tracking accuracy deteriorates due to terrain fluctuations and component errors
Solution Approach 1:
The patent changes the control parameters by introducing differential speed control between left and right wheels. By adjusting the speed parameters ωl and ωr of each wheel independently, the system compensates for terrain fluctuations and component errors, thereby improving path tracking accuracy without requiring complex additional hardware
Solution Approach 2:
The patent implements a feedback mechanism where the actual wheel speeds and positions are continuously monitored and compared with the planned path. The objective function hm evaluates the tracking error, and the control system adjusts the differential wheel speeds based on this feedback to minimize deviation from the planned path
2Device complexity
If the mobile vehicle model is simplified into a differential model, then the calculation complexity is reduced, but the control precision may deteriorate
Solution Approach 1:
The patent transforms the complex mobile vehicle model into a simplified differential model by changing the representation parameters. Instead of modeling the entire vehicle complexly, it uses differential wheel speeds ωl and ωr as primary parameters, which simplifies calculations while maintaining control precision through the objective function optimization
Solution Approach 2:
The patent creates a simplified differential model that copies the essential motion characteristics of the mobile vehicle. This model replicates the key behavior (differential wheel movement) without including all complex details, enabling simpler calculations that still achieve precise path tracking
3Measurement precision
If optimal differential control variables are used to adjust vehicle speed, then the path tracking accuracy is improved, but the control system complexity increases
Solution Approach 1:
The patent optimizes the differential control variable δv (speed difference between wheels) to improve path tracking accuracy. By adjusting this single parameter based on the objective function hm, the system achieves precise control without requiring complex multi-parameter control systems
Solution Approach 2:
The patent extracts the essential control element from the complex vehicle system - the differential speed difference δv between left and right wheels. By focusing control efforts on this single extracted parameter rather than controlling all vehicle movements independently, the system achieves accurate path tracking with simpler control logic
Data Source
AI summary
A path tracking method is provided. The path tracking method includes obtaining a current location and a current traveling direction of the mobile vehicle, and determining a traveling path along which the mobile vehicle travels to a destination based on the current location and the current traveling direction; simplifying the mobile vehicle into a differential model, establishing a forward objective function of the differential model in the traveling path, and obtaining an optimal solution of the forward objective function; and controlling a speed of the mobile vehicle corresponding to the differential model by using the optimal solution as an optimal differential control variable, until the mobile vehicle reaches the destination. The path tracking method is simple in calculation, adopts algorithms that is naturally stable, and is used in combination with integrated navigation, thereby ensuring stability and reliability of tracking.