Trajectory Estimation via Platform Complexity Comparison
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Solution Overview
Problem
Existing methods for determining the trajectory of moving objects with non-rectilinear motion are limited, as they are not well-suited for general applications and fail to effectively estimate the type of trajectory followed by the object, particularly when the object and detection system have similar speeds, leading to unsatisfactory localization results.
Innovation Solution
A method that estimates the trajectory of a moving object using a moving platform equipped with angle measurement means, determining the complexity of both the platform's and object's trajectories through compressive transformations and error calculations, allowing for the adjustment of the platform's trajectory to enhance observability and precision in tracking.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If localization by density is used to track a moving object, then the detection system can attempt to locate the object, but the localization results are unsatisfactory when the object and detection system have similar speeds
Solution Approach 1:
The patent transforms the tracking problem from a position-based approach to a complexity-based approach. By calculating the complexity of the platform's trajectory and comparing it with the object's trajectory complexity, the system adapts its tracking strategy based on the relative motion characteristics. This parameter transformation allows effective tracking even when relative speed is low, as it shifts from relying on speed differential to relying on trajectory complexity differential.
Solution Approach 2:
The patent introduces dynamic adjustment of the platform's trajectory based on real-time complexity comparison. The system continuously monitors the complexity values and adjusts the platform's maneuvering strategy accordingly - increasing complexity when the object's trajectory complexity is lower, and adapting when they are similar. This dynamic adaptation resolves the contradiction by making the system responsive to the actual relative motion state.
2Measurement precision
If the platform adjusts its trajectory to increase complexity for better observability, then trajectory estimation accuracy improves, but the platform requires more complex maneuvering
Solution Approach 1:
The patent implements a feedback mechanism where the platform's trajectory complexity is continuously calculated and compared with the object's trajectory complexity. This feedback loop allows the system to determine when complexity adjustment is necessary and when the current trajectory is sufficient, avoiding unnecessary complex maneuvers while maintaining adequate observability for accurate tracking.
Solution Approach 2:
The patent applies partial action by adjusting platform complexity only to the extent necessary for adequate observability. Rather than constantly maximizing trajectory complexity, the system increases complexity only when the object's trajectory complexity is sufficiently lower, and maintains or reduces complexity when the difference is small, thus avoiding excessive maneuvering while preserving tracking accuracy.
3Ease of operation
If the platform uses a simple trajectory for ease of operation, then the platform is easier to control, but the ability to detect and measure object trajectory is insufficient
Solution Approach 1:
The feedback mechanism continuously evaluates whether the current platform trajectory provides sufficient observability by comparing complexity values. This allows the system to maintain simple trajectories when they provide adequate observability (when object complexity is much higher) and automatically transition to more complex maneuvers only when necessary, thus balancing ease of operation with detection capability.
Data Source
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AI summary
A method for estimating the trajectory of a first object using a moving platform equipped with means for measuring at least one angle between the first object and the platform in a given direction, comprising at least the following steps: • Determining a set of points corresponding to the trajectory of the platform for a given time interval, • Acquiring a set of angle values over the same time interval, • Defining the complexity cg of the platform's trajectory by calculating the error between points on the trajectory partitioned into several groups and points on the trajectory obtained by extrapolation, • Determining, for the same time interval, the complexity cp of the object's trajectory from the estimated complexity of the platform's trajectory and the error calculated between measured angle values grouped into K groups and angle values obtained by extrapolation of the partitions.• Compare the platform complexity value; if the platform complexity value is greater than that of the object, then calculate the object's trajectory; otherwise, transmit a signal or information to adjust the platform's trajectory.