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Tunable linear feedback control of urban drainage systems using models defined purely from data.
Travis Adrian Dantzer1, Branko Kerkez2
1University of Michigan Civil and Environmental Engineering, 2350 Hayward St, Ann Arbor, MI 48109, USA
This study introduces an automated method to create tunable linear feedback controllers for urban drainage systems (UDS) using only system response data. This approach simplifies control system development, enhancing adaptability and coordination in UDS management.
Area of Science:
- Environmental Engineering
- Control Systems Engineering
- Urban Water Management
Background:
- Real-time and model-predictive control offer adaptive urban drainage systems (UDS).
- Existing control algorithms face challenges in computational cost, trust, coordination, and labor.
- Linear feedback control presents advantages in computational efficiency, interpretability, and coordination.
Purpose of the Study:
- To develop an automated method for generating tunable linear feedback controllers for UDS.
- To design controllers requiring only system response data, bypassing the need for calibrated software models.
- To evaluate the effectiveness of the proposed method in enhancing UDS performance.
Main Methods:
- Estimating network connectivity via causal inference tools.
- Identifying a linear time-invariant (LTI) dynamical system to approximate the UDS.
- Designing and tuning a feedback controller based on the LTI UDS approximation.
Main Results:
- The method successfully generated tunable linear feedback controllers using only system response data.
- Evaluations across 190 design storms demonstrated strong performance in flooding safety, erosion prevention, and water treatment.
- The study indicates that effective UDS controller synthesis requires surprisingly basic system knowledge.
Conclusions:
- An automated, data-driven approach enables the synthesis of effective, safe, and tunable controllers for UDS.
- This method significantly reduces the reliance on complex process-based models or extensive system knowledge.
- The findings support near-turnkey controller generation directly from sensor data for improved UDS management.
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