Dissipativity-Based Data-Driven Decentralized Control of Interconnected Systems

2025/09/17 by Ahmed Aboudonia, Nakano, Taiki, Aboudonia, Ahmed +8 · 4 citations
Computer Science · Engineering · #Control and Stability of Dynamical Systems #FOS: Electrical engineering #Neural Networks Stability and Synchronization #Stability and Control of Uncertain Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2509.14047

openalex publication_date 2025/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose data-driven decentralized control algorithms for stabilizing interconnected discrete-time linear time-invariant systems. We first derive a data-driven condition to synthesize a local controller that ensures the dissipativity of the local subsystems. Then, we propose data-driven decentralized stability conditions for the global system based on the dissipativity of each local system. Since both conditions take the form of linear matrix inequalities and are based on dissipativity theory, this yields a unified pipeline, resulting in a data-driven decentralized control algorithm. As a special case, we also consider stabilizing systems interconnected through diffusive coupling and propose a control algorithm. We validate the effectiveness and the scalability of the proposed control algorithms in numerical examples in the context of microgrids.

Citations

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Cited by

• An Input-Output Data-Driven Dissipativity Approach for Compositional Stability Certification of Interconnected LTI MIMO Systems
• Funnel-Based Online Recovery Control for Nonlinear Systems With Unknown Dynamics
• Convergence Analysis of Distributed Optimization: A Dissipativity Framework
• Model-Free Power System Stability Enhancement with Dissipativity-Based Neural Control

Related

• Interconnection of (Q,S,R)-Dissipative Systems in Discrete Time
• A Decentralized Analysis and Control Synthesis Approach for Networked Systems with Arbitrary Interconnections
• Distributed Synthesis of Local Controllers for Networked Systems With Arbitrary Interconnection Topologies
• Dissipativity-Based Distributed Control and Communication Topology Co-Design for Voltage Regulation and Current Sharing in DC Microgrids
• Data-Driven Decentralized Control Design for Discrete-Time Large-Scale Systems