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Related Experiment Video

Updated: Jun 12, 2026

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
06:04

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Published on: February 14, 2025

Hierarchical controller synthesis using ( γ , δ )-Similarity.

Armin Pirastehzad1, Arjan van der Schaft1, Bart Besselink1

  • 1Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, 9700 AK Groningen, The Netherlands.

Mathematics of Control, Signals, and Systems : MCSS
|June 11, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a hierarchical control synthesis method to address scalability issues in non-deterministic systems. The approach uses (gamma, delta)-similarity and abstraction to create controllers for complex systems efficiently.

Keywords:
Approximate simulationCompositional reasoningHierarchical control synthesisSystem abstraction

Related Experiment Videos

Last Updated: Jun 12, 2026

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
06:04

Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

Published on: February 14, 2025

Area of Science:

  • Control Theory
  • Computer Science
  • Systems Engineering

Background:

  • Scalability issues hinder controller synthesis for complex non-deterministic systems.
  • Existing methods struggle with large-scale control problems.
  • Hierarchical approaches offer potential solutions for managing complexity.

Purpose of the Study:

  • To develop a hierarchical control scheme for synthesizing controllers for non-deterministic systems.
  • To address scalability limitations in traditional controller synthesis.
  • To enable the creation of effective controllers for complex systems.

Main Methods:

  • Developed a hierarchical control scheme based on (gamma, delta)-similarity.
  • Introduced and characterized (gamma, delta)-abstraction using L2 approximation metric.
  • Proposed a step-by-step procedure for constructing an interface between abstract and concrete systems.
  • Synthesized an abstract controller and refined it into a concrete controller.

Main Results:

  • Successfully demonstrated a hierarchical approach to controller synthesis.
  • Quantified the behavioral similarity between concrete systems and their abstractions.
  • Provided a method for interface construction to bridge abstraction levels.
  • Enabled the synthesis of controllers for non-deterministic systems overcoming scalability challenges.

Conclusions:

  • The proposed hierarchical control scheme effectively compensates for scalability issues.
  • (gamma, delta)-abstraction provides a robust framework for controller synthesis.
  • The method facilitates the design of controllers for complex non-deterministic systems.