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Static Output-Feedback H∞ Control Design Procedures for Continuous-Time Systems With Different Levels of Model
IEEE Transactions on Cybernetics
|September 27, 2021
Summary
This study presents optimal H-infinity control solutions for linear systems using model-based and model-free methods. It introduces algorithms for static output-feedback controllers, adaptable to partial or complete system knowledge.
Area of Science:
- Control Systems Engineering
- Robotics
- Automation
Background:
- Optimal control design for continuous-time linear systems is crucial for performance.
- H-infinity control criteria offer robustness guarantees.
- Output-feedback control is desirable for practical implementation.
Purpose of the Study:
- To develop model-based and model-free optimal solutions for H-infinity control.
- To design static output-feedback controllers with flexible exponential criteria.
- To provide algorithms for both offline and online control design.
Main Methods:
- Formulation of a general H-infinity control design criterion with an exponential term.
- Development of two offline policy-iteration algorithms.
- Extension to a family of online off-policy designs.
- Adaptation for partial or complete model knowledge.
Main Results:
- A collection of model-based and model-free optimal output-feedback controllers are proposed.
- Algorithms accommodate varying levels of model information.
- Partial model knowledge reduces online matrix computations.
- Off-policy learning is feasible without disturbance excitation when the disturbance input matrix is known.
Conclusions:
- The presented methods offer versatile design alternatives for H-infinity control.
- The approach is validated through an optimal lane tracking controller for automated vehicles.
- The work facilitates robust control design in scenarios with limited or unavailable disturbance measurements.
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