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Semiglobal Observer-Based Non-Negative Edge Consensus of Networked Systems With Actuator Saturation
IEEE Transactions on Cybernetics
|June 11, 2019
Summary
This study addresses observer-based edge consensus in networked systems with non-negative edge states and actuator saturation. New algorithms ensure bounded inputs and non-negative states, validated by simulations.
Area of Science:
- Control Systems Engineering
- Networked Dynamical Systems
- Graph Theory
Background:
- Networked systems face challenges like actuator saturation and state constraints.
- Achieving consensus with limited information (observer-based) is complex.
- Edge states require specific non-negativity conditions.
Purpose of the Study:
- To design observer-based edge-consensus algorithms for continuous-time systems.
- To address actuator saturation and non-negative edge state constraints.
- To develop methods for obtaining feasible control and observer gains.
Main Methods:
- Utilizing line graph theory for system representation.
- Applying low-gain output-feedback techniques.
- Employing algebraic Riccati equation (ARE)-based methods and positive system theory.
Main Results:
- Two novel edge-consensus algorithms with explicit mathematical expressions were derived.
- Sufficient conditions for bounded inputs and non-negative edge states were established.
- Existence and ease of obtaining feedback-gain and observer-gain matrices were demonstrated.
Conclusions:
- The proposed algorithms effectively achieve observer-based edge consensus under specified constraints.
- The theoretical results are validated through simulation examples.
- The methods provide a practical approach for designing controllers for such systems.
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