Model-Based and Data-Driven Hierarchical Control and Topology Co-Design for Robust Networked Systems
Summary
A new research proposes model-based and data-driven hierarchical control and topology co-design strategies for robust networked systems. These strategies aim to ensure closed-loop dissipativity from disturbance inputs to performance outputs in interconnected linear subsystems. The model-based approach utilizes dissipativity theory to design local and global controllers, alongside optimizing interconnection topology, by solving a sequence of linear matrix inequality (LMI) problems. This method maintains compositionality and decentralizability. For scenarios lacking subsystem dynamics knowledge, a data-driven strategy is introduced, relying solely on input-state-output trajectory data. This data-driven method accounts for unknown disturbances bounded by a quadratic matrix inequality using the matrix S-lemma. Both designs are demonstrated on a DC microgrid to enforce robust voltage regulation and current sharing.
Key takeaway
For control systems engineers designing robust networked systems, consider integrating hierarchical control and topology co-design. If subsystem dynamics are known, utilize the LMI-based model-based approach for compositional and decentralized solutions. When dynamics are unknown, explore the data-driven strategy using input-state-output data and the matrix S-lemma to manage disturbances. This can significantly enhance robust voltage regulation and current sharing in applications like DC microgrids.
Key insights
Hierarchical control and topology co-design ensure robust dissipativity in networked systems using model-based or data-driven methods.
Principles
- Dissipativity theory enables robust control design.
- Hierarchical control allows compositional and decentralized design.
- Topology co-design optimizes network interconnection costs.
Method
The model-based approach solves sequential LMI problems. The data-driven method uses input-state-output data and the matrix S-lemma to handle unknown disturbances.
In practice
- Apply to DC microgrids for robust voltage regulation.
- Implement for current sharing in networked power systems.
Topics
- Networked Systems
- Hierarchical Control
- Topology Co-Design
- Dissipativity Theory
- Linear Matrix Inequality
- Data-Driven Control
- DC Microgrids
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Editorial summary, takeaway, and curation by AIssential. Original article published by Artificial Intelligence.