PI Controller Setpoint Weighting for Overshoot-Response Trade-Off

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Solution Overview

Problem

Existing servo systems face challenges in adjusting correctors with command weighting, particularly in turbomachine actuators, due to poor modeling of the system behavior, leading to issues with overshoot, stability, and robustness, especially when dealing with measurement noise and abruptly varying setpoints, and the conventional adjustment methods for PI correctors with setpoint weighting are tedious and heuristic.

Innovation Solution

A method for automatically adjusting an integral proportional corrector with setpoint weighting by sequentially adjusting the setpoint weighting coefficient, proportional gain, and integral gain to meet predefined performance criteria, using a structured approach that optimizes response time and overshoot without degrading stability or robustness, and includes an optional safety margin to account for system imperfections.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Stability of the object's composition

If a PI corrector with setpoint weighting is used to reduce overshoot, then overshoot is minimized, but response time is degraded

Engineering Contradiction:
ImproveovershootVSAvoidresponse time
Core Design Contradiction:
Stability of the object's compositionVSSpeed

Solution Approach 1:

The patent applies dynamics by making the setpoint weighting coefficient variable rather than constant. The coefficient dynamically adapts based on the error signal magnitude: when error is large, full weighting is applied to minimize overshoot; when error is small, weighting is reduced to improve response time. This dynamic adjustment resolves the contradiction between overshoot reduction and response time maintenance.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent changes the parameter of setpoint weighting coefficient from a fixed value to a variable that depends on the error signal. By modifying this parameter based on system state (error magnitude), the corrector achieves different behaviors at different stages: aggressive overshoot prevention when needed, and fast response when error is small, thus resolving the performance contradiction.

Inventive Principle:
Principle #35Parameter changes

2Adaptability or versatility

If conventional iterative adjustment methods are used for PI corrector with setpoint weighting, then adjustment flexibility is achieved, but adjustment complexity increases

Engineering Contradiction:
Improveadjustment flexibilityVSAvoidadjustment complexity
Core Design Contradiction:
Adaptability or versatilityVSDevice complexity

Solution Approach 1:

The patent applies self-service by enabling the corrector to automatically adjust its own setpoint weighting coefficient based on the error signal without requiring external iterative tuning. The system serves itself by using the error magnitude to directly determine the appropriate weighting coefficient, eliminating the need for complex adjustment procedures while maintaining flexibility.

Inventive Principle:
Principle #25Self-service

Solution Approach 2:

The patent uses feedback by continuously monitoring the error signal and using it to determine the setpoint weighting coefficient. This feedback mechanism automatically adapts the corrector behavior to current system conditions, providing adjustment flexibility without requiring complex external tuning procedures, thus reducing adjustment complexity.

Inventive Principle:
Principle #23Feedback

3Speed

If a derivative component is added to improve response time, then response time is improved, but noise sensitivity increases

Engineering Contradiction:
Improveresponse timeVSAvoidnoise sensitivity
Core Design Contradiction:
SpeedVSObject-affected harmful factors

Solution Approach 1:

The patent applies segmentation by separating the functions of response time improvement and noise filtering into distinct components: the variable setpoint weighting coefficient handles response time optimization, while the PI structure with integral action handles noise filtering. This functional segmentation allows achieving fast response without adding a derivative component that would amplify noise.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent uses an intermediary approach by introducing a variable weighting coefficient as a mediator between the setpoint and the PI corrector. This intermediary element enables response time improvement through dynamic weighting adjustment without requiring a direct derivative connection that would amplify measurement noise, thus avoiding the harmful effect while achieving the desired speed improvement.

Inventive Principle:
Principle #24Intermediary (Mediator)

Data Source

PatentEP3729206B1Methof of closed-loop controlling a controller with setpoint weighting
Publication Date: 2022.08.31 SAFRAN AIRCRAFT ENGINES SAS
  • EP3729206B1 patent drawingFigure 1
  • EP3729206B1 patent drawingFigure 2~3
  • EP3729206B1 patent drawing

AI summary

The invention relates to a method for the closed-loop control of a proportional integral-type controller (2) in an instrumentation and control device (1) of a closed-loop control system (3), in particular a servovalve-actuator system, said controller (2) including a setpoint-weighting coefficient (β), said closed-loop control method comprising the consecutive steps of assigning (11) a unit value to the set-point weighting coefficient (β), optimizing (12) a closed-loop control of the controller (2) satisfying at least one predefined performance criterion, defining a characteristic tracking error (εTC) making it possible to respond to the performance constraints of the system to be closed-loop controlled, and assigning (132) a setpoint weighting coefficient (β) value, depending on the characteristic tracking error (εTC) and the closed-loop control of the controller (2).