Control Loop Quality Assessment Using Polygon-Based Criteria
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Solution Overview
Problem
Existing methods for assessing control loops lack a systematic combination of performance criteria, leading to unreliable evaluations of overall control quality, as different quality indicators often exhibit contradictory behaviors, making it challenging to optimize control loops for response to setpoint changes, disturbances, and robust behavior.
Innovation Solution
A method that geometrically combines multiple performance criteria, such as oscillation index, dynamic response behavior, sequential error, steady-state control deviation, variance of the controlled variable, and noise suppression, to provide a comprehensive evaluation of control loop quality, allowing for intuitive interpretation and decision-making on controller adequacy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If multiple performance criteria are evaluated individually, then specific quality aspects can be analyzed, but overall control quality assessment becomes unreliable due to contradictory behaviors of different indicators
Solution Approach 1:
The patent combines multiple individual performance criteria (oscillation index, dynamic response, sequential error, steady-state control deviation, variance, noise suppression) into a unified geometric evaluation model. Each criterion is represented as a vector in a multidimensional space, and their combined effect is visualized through a polygon whose properties (area, centroid) provide an integrated assessment of overall control quality, resolving the unreliability of individual evaluations.
Solution Approach 2:
The patent transitions from evaluating multiple criteria in separate one-dimensional dimensions to representing them in a unified geometric space. By mapping performance criteria to vectors and constructing polygons in this space, the system creates a new dimensional framework that captures the relationships and contradictions between criteria, enabling reliable overall assessment.
2Speed
If closed-loop gain is increased, then rise time shortens, but settling time and overshoot amplitude increase
Solution Approach 1:
The patent applies dynamics by making the evaluation criteria weights adjustable based on operational conditions. The geometric model allows dynamic reconfiguration of the polygon vertices and centroid calculation, enabling the system to adapt to different operational phases (e.g., prioritizing rise time during transient responses vs. prioritizing settling time during steady-state operation), thus resolving the contradiction between speed and stability.
3Reliability
If a comprehensive evaluation of overall control quality is achieved, then functional reliability increases, but the complexity of combining and interpreting multiple criteria increases
Solution Approach 1:
The patent uses visual geometric representations (polygons, centroids, vector directions) that provide intuitive visual cues for interpreting control quality. The centroid position and polygon area serve as visual indicators of overall performance, making complex multi-criteria evaluations easily interpretable without requiring deep analysis of individual criteria, thus maintaining ease of operation while achieving comprehensive evaluation.
Data Source
AI summary
A method for assessing a control loop. In the method, the control loop is assigned one degree of fulfillment each with respect to at least three quality criteria. The surface area of a polygon having a geometry defined by the degrees of fulfillment is determined. An overall control quality of the control loop is evaluated on the basis of the surface area.


