Adaptive PID Gain Switching for Stable Zero-Order Process Control

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Solution Overview

Problem

Conventional PID controllers struggle to maintain stability in zero order industrial processes due to oscillations caused by high gain settings, which are necessary for responding to sudden upsets but lead to steady-state instability.

Innovation Solution

An adaptive gain strategy is implemented for PID controllers, where high adaptive gain is applied only when the controller error exceeds a deadband and is increasing, switching to normal low gain when the error is within or decreasing below the deadband, allowing aggressive response to upsets while maintaining stability during steady-state conditions.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Speed

If high gain is applied to respond to sudden upsets, then response speed is improved, but oscillations occur causing steady-state instability

Engineering Contradiction:
Improveresponse speedVSAvoidsteady-state stability
Core Design Contradiction:
SpeedVSStability of the object's composition

Solution Approach 1:

The patent implements dynamic gain adjustment by switching between high gain and normal gain modes based on real-time error conditions. The controller transitions from static gain to dynamic gain scheduling, where the gain parameter is adjusted according to the absolute error value and its rate of change, resolving the contradiction between response speed and steady-state stability.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent changes the controller gain parameter based on operating conditions. By monitoring the absolute error value and its trend (increasing or decreasing), the system adjusts the gain parameter between two states: high gain for rapid response to upsets, and normal gain for maintaining steady-state stability. This parameter change strategy directly addresses the contradiction.

Inventive Principle:
Principle #35Parameter changes

2Stability of the object's composition

If normal low gain is applied to maintain stability, then steady-state stability is improved, but response to sudden upsets becomes sluggish

Engineering Contradiction:
Improvesteady-state stabilityVSAvoidresponse speed
Core Design Contradiction:
Stability of the object's compositionVSSpeed

Solution Approach 1:

The controller dynamically switches between normal gain and high gain modes based on error conditions. When the absolute error exceeds a threshold and is increasing, the system transitions to high gain mode for rapid response. This dynamic adjustment ensures that stability is maintained during normal operation while response speed is enhanced during upsets.

Inventive Principle:
Principle #15Dynamics

Solution Approach 2:

The patent implements preliminary detection of upset conditions by monitoring the error trend (whether absolute error is increasing or decreasing). When an upset is detected (error increasing beyond threshold), the system proactively switches to high gain mode before the full impact of the upset affects the process, enabling faster response while maintaining stability during normal conditions.

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS11914332B2Adaptive PID gain for a zero order process
Publication Date: 2024.02.27 SCHNEIDER ELECTRIC SYSTEMS USA INC
  • US11914332B2 patent drawing
  • US11914332B2 patent drawing
  • US11914332B2 patent drawing

AI summary

Systems and methods for adaptively tuning a Proportional, Integral and Derivative (PID) controller in a zero order industrial process are provided. A method and system can involve receiving input data at one or more inputs of the PID controller and generating output data at one or more outputs of the PID controller in response to processing the input data. Error(s) associated with the controller are determined based on an analysis of a measured parameter with respect to a desired setpoint. The measured parameter may be indicated in the output data. Adaptive gain may be applied to the PID controller in response to the absolute value of the controller error both exceeding a deadband and increasing. Additionally, normal gain, which is lower than the adaptive gain, may be applied to the PID controller in response to the absolute value of the controller error either being below the deadband or decreasing.