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Adaptive feedback control by constrained approximate dynamic programming.
Silvia Ferrari1, James E Steck, Rajeev Chandramohan
1Department of Mechanical Engineering, Duke University, Durham, NC 27708, USA.
This study introduces a constrained approximate dynamic programming (ADP) method for adaptive neural network (NN) controllers, ensuring stability and performance. The approach guarantees baseline performance preservation even with system uncertainties or failures.
Area of Science:
- Control Systems Engineering
- Artificial Intelligence
- Aerospace Engineering
Background:
- Adaptive control systems are crucial for maintaining performance under varying conditions.
- Neural networks (NNs) offer powerful function approximation capabilities for complex control problems.
- Ensuring closed-loop stability and performance guarantees remains a challenge in adaptive NN control.
Purpose of the Study:
- To develop a constrained approximate dynamic programming (ADP) approach for designing adaptive neural network (NN) controllers.
- To guarantee closed-loop stability and performance for adaptive NN controllers.
- To ensure baseline performance preservation in the presence of unmodeled dynamics or failures.
Main Methods:
- Utilizing prior knowledge of linearized equations of motion to establish performance and stability objectives within a linear parameter-varying (LPV) regime.
- Implementing an adaptive NN controller that optimizes performance online when facing unmodeled dynamics or failures.
- Applying constrained ADP to guarantee the preservation of LPV baseline performance at all times.
Main Results:
- Demonstrated the effectiveness of the adaptive NN flight controller in simulated scenarios.
- Successfully managed control failures, parameter variations, and near-stall dynamics.
- Validated the closed-loop stability and performance guarantees of the proposed constrained ADP approach.
Conclusions:
- The constrained ADP approach effectively designs adaptive NN controllers with guaranteed stability and performance.
- The method ensures robust control by preserving baseline performance despite system uncertainties.
- The adaptive NN flight controller shows significant promise for real-world aerospace applications.
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