Active Disturbance Rejection Control Design with Sensitivity Constraint for Drum Water Level
Abstract
:1. Introduction
- (1)
- An MADRC is proposed, and the convergence of the proposed MADRC is proven;
- (2)
- An MWOA with sensitivity constraint is applied to optimize the parameters of the MADRC, where the bandwidths of the controller and ESO can be selected with sensitivity constraint;
- (3)
- The effectiveness of the proposed MADRC optimized by the MWOA is verified by comparative simulations.
2. Control Structure of Drum Water Level and Control Objective
- tracks as fast as possible with small overshoot;
- The closed-loop system can quickly recover to the steady state when , or occurs;
- The closed-loop system should have a strong ability to handle system uncertainties.
3. Modified Active Disturbance Rejection Control and Convergence Analysis
3.1. Regular Active Disturbance Rejection Control
3.2. Modified Active Disturbance Rejection Control
3.3. Distributions of Ms for MADRC
4. Modified Whale Optimization Algorithm with Sensitivity Constraint for MADRC
- 1.
- Heuristic probability
- 2.
- Linear control parameter
- 3.
- Lévy flight strategy
- 4.
- Elementary knowledge-acquisition-sharing algorithm
- 5.
- Position update method based on correction spiral
- 6.
- Quadratic interpolation method
5. Simulation Illustrations
5.1. Scenario 1: Fixed Sensitivity Constraint
5.2. Scenario 2: Sensitivity Constraint with a Range
5.3. Scenario 3: Uncertain Systems
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
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Gao, A.; Cui, X. Active Disturbance Rejection Control Design with Sensitivity Constraint for Drum Water Level. Energies 2024, 17, 1438. https://doi.org/10.3390/en17061438
Gao A, Cui X. Active Disturbance Rejection Control Design with Sensitivity Constraint for Drum Water Level. Energies. 2024; 17(6):1438. https://doi.org/10.3390/en17061438
Chicago/Turabian StyleGao, Aimin, and Xiaobo Cui. 2024. "Active Disturbance Rejection Control Design with Sensitivity Constraint for Drum Water Level" Energies 17, no. 6: 1438. https://doi.org/10.3390/en17061438
APA StyleGao, A., & Cui, X. (2024). Active Disturbance Rejection Control Design with Sensitivity Constraint for Drum Water Level. Energies, 17(6), 1438. https://doi.org/10.3390/en17061438