Related Experiment Video
Updated: Jan 26, 2026
08:04
Author Spotlight: Investigating Islet Abnormalities and Function with a Pseudoislet Protocol
Published on: November 3, 2023
2.4K
PID Control for Synchronization of Complex Dynamical Networks With Directed Topologies.
IEEE Transactions on Cybernetics
|April 17, 2019
Summary
This study connects proportional-integral-derivative (PID) controllers to the synchronization of complex networks with directed topologies. Sufficient conditions for achieving global synchronization in various directed network structures were established and verified.
Area of Science:
- Control Theory
- Network Science
- Dynamical Systems
Background:
- Synchronization of complex networks with directed topologies is crucial for real-world applications.
- Designing proportional-integral-derivative (PID) control protocols for directed network synchronization presents significant challenges.
Purpose of the Study:
- To establish a clear connection between PID control protocols and the synchronization of complex dynamical networks with directed topologies.
- To investigate global synchronization in specific directed network configurations using PD and PI controllers.
Main Methods:
- Utilized a classical complex network model to analyze synchronization phenomena.
- Investigated global synchronization with a proportional-derivative (PD) controller for balanced strongly connected directed networks.
- Examined global synchronization with a proportional-integral (PI) controller for strongly connected directed networks and networks with a spanning tree.
Main Results:
- Established several sets of sufficient conditions guaranteeing global synchronization in the studied directed networks.
- Demonstrated the effectiveness of PD and PI controllers in achieving synchronization.
Conclusions:
- The theoretical results provide a framework for designing effective PID controllers for directed network synchronization.
- Simulation examples confirm the efficiency and applicability of the derived conditions and control strategies.
Related Concept Videos
01:19PID Controller
688
Proportional-Integral-Derivative (PID) controllers are widely used in various control systems to enhance stability and performance. In a thermostat, it adjusts heating or cooling based on the temperature difference between the actual and desired levels. They are often used in automotive speed systems, effectively managing sudden speed changes while maintaining a constant speed under varying conditions. On the other hand, PI controllers, commonly employed in voltage regulation, enhance stability...
688
02:26Protein Networks
4.5K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
4.5K
02:26Protein Networks
2.8K
2.8K
02:18Network Covalent Solids
16.1K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
16.1K
01:30Simplified Synchronous Machine Model
760
The Synchronous Machine Model is a fundamental tool in analyzing and ensuring the transient stability of power systems. This model simplifies the representation of a synchronous machine under balanced three-phase positive-sequence conditions, assuming constant excitation and ignoring losses and saturation. The model is pivotal for understanding the behavior of synchronous generators connected to a power grid, particularly during transient events.
In this model, each generator is connected to a...
In this model, each generator is connected to a...
760
02:41Protein Complex Assembly
16.7K
Proteins can form homomeric complexes with another unit of the same protein or heteromeric complexes with different types. Most protein complexes self-assemble spontaneously via ordered pathways, while some proteins need assembly factors that guide their proper assembly. Despite the crowded intracellular environment, proteins usually interact with their correct partners and form functional complexes.
Many viruses self-assemble into a fully functional unit using the infected host cell to...
Many viruses self-assemble into a fully functional unit using the infected host cell to...
16.7K