Related Experiment Video
Updated: Oct 15, 2025
06:04
Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
Published on: February 14, 2025
685
Leader-follower controllability of signed networks
Bo Liu1, Qing An2, Yanping Gao3
1School of Information Engineering, Minzu University of China, Beijing 100081, China.
ISA Transactions
|October 30, 2021
Summary
Controlling signed multi-agent networks is possible when leaders are chosen from structurally balanced subsets. Cooperation and antagonism significantly impact network controllability, even enabling switching control in otherwise uncontrollable systems.
Area of Science:
- Control Theory
- Network Science
- Systems Engineering
Background:
- Multi-agent networks involve complex interactions, including cooperative (positive) and antagonistic (negative) relationships, represented by signed graphs.
- Understanding leader-follower controllability in these networks is crucial for designing coordinated systems.
- Existing research often focuses on non-signed or fixed topology networks, leaving gaps in analyzing signed and switching interaction effects.
Purpose of the Study:
- To determine the criteria for leader-follower controllability in signed multi-agent networks with both fixed and switching interaction topologies.
- To investigate the specific effects of cooperative and antagonistic interactions on network controllability.
- To explore leader selection strategies for achieving desired network control.
Main Methods:
- Analysis of signed graph theory to model cooperative and antagonistic interactions.
- Development of controllability criteria for fixed and switching signed multi-agent networks.
- Mathematical proofs to establish conditions for follower controllability based on leader selection and network structure.
Main Results:
- Followers in structurally balanced signed multi-agent networks can be controlled if leaders are selected from the same partitioned subset.
- Switching signed multi-agent networks can achieve controllability even if individual subsystems are uncontrollable, provided simultaneous structural balance conditions are met.
- Criteria for leader selection are established, demonstrating their importance in achieving network control.
Conclusions:
- Structural balance is a key factor in achieving leader-follower controllability in signed multi-agent networks.
- Cooperation and antagonism play critical roles in determining the controllability of these complex systems.
- The findings provide a theoretical foundation for designing and controlling advanced multi-agent systems with mixed interactions.
Related Concept Videos
01:28Load-frequency control
285
Load-frequency control (LFC) is vital for maintaining power system stability, ensuring that frequency and power flows remain within acceptable limits during load changes. Turbine-governor control eliminates rotor accelerations and decelerations following load changes. However, a steady-state frequency error persists when the change in the turbine-governor reference setting is zero. In an interconnected power system, each area agrees to export or import a scheduled amount of power through...
285
01:25Network Function of a Circuit
424
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
424
01:24Time and frequency -Domain Interpretation of Phase-lead Control
154
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
154
01:30Control of Power Flow
335
There are several methods to control power flow in power systems:
335
01:22Controller Configurations
185
Controller configurations are crucial in a car's cruise control system because they manage speed over time to maintain a consistent pace regardless of road conditions, thereby meeting design goals. In traditional control systems, fixed-configuration design involves predetermined controller placement. System performance modifications are known as compensation.
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller...
185
01:21Pilot and Numeric Relaying
159
Pilot relaying is a type of differential protection used in power systems. It compares electrical quantities at the terminals of equipment via a communication channel instead of direct relay interconnection. This method is essential for transmission lines where the terminals are far apart, typically up to 80 km for lines with 69 to 115 kV ratings. Four types of communication channels are used for pilot relaying:
159