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Adaptive parameterized control for line spectrum vibrations using a genetic algorithm-optimized variable forgetting
Lei Hou1, Huayan Pu1, Mengjing Li1
1State Key Laboratory of Mechanical Transmission for Advanced Equipment, Chongqing University, Chongqing, 400044, China.
ISA Transactions
|June 17, 2026
Summary
This study introduces an adaptive controller that effectively suppresses vibrations from machinery. By optimizing control parameters with a genetic algorithm (GA), it achieves faster response and better steady-state performance for vibration control.
Area of Science:
- Control Engineering
- Mechanical Engineering
- Signal Processing
Background:
- Line-spectrum vibrations from equipment pose control challenges.
- Conventional methods struggle with unknown, time-varying disturbances.
- Adaptive control is needed for robust vibration suppression.
Purpose of the Study:
- To propose a Youla(Q)-parameterized adaptive controller for unknown time-varying line-spectrum disturbance rejection.
- To optimize forgetting factors using a genetic algorithm (GA).
- To enhance adaptive control performance for vibration isolation.
Main Methods:
- Youla parameterization to augment a base controller with tunable Q-parameters.
- Recursive Least Squares (RLS) algorithm for Q-parameter tuning.
- Genetic Algorithm (GA) for optimizing forgetting factor variation laws.
- Experimental validation on an active vibration isolator.
Main Results:
- The GA-enhanced adaptive controller demonstrated accelerated convergence speed.
- Improved steady-state control performance was achieved.
- Successful suppression of five simultaneous time-varying line-spectrum vibrations with an average peak attenuation of 39 dB.
Conclusions:
- The proposed method effectively rejects unknown time-varying line-spectrum disturbances.
- The GA optimization resolves the trade-off between convergence speed and steady-state error.
- The controller shows practical efficacy and robustness in vibration isolation systems.
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