Related Experiment Video
Updated: Dec 14, 2025

The HoneyComb Paradigm for Research on Collective Human Behavior
Published on: January 19, 2019
Leader-following group consensus of discrete-time fractional-order double-integrator multi-agent systems
Erfan Shahamatkhah1, Mohammad Tabatabaei1
1Department of Electrical Engineering, Khomeinishahr Branch, Islamic Azad University, Isfahan, Iran.
Abstract:
The current study concerns with the leader-following group consensus issue for discrete-time fractional-order multi-agent systems. The agents are assumed as fractional-order double-integrators. The interconnection among the agents is characterized by a bidirectional fixed graph. By considering some assumptions on the interaction graph, it is proved that leader-following group consensus will be realized if the controller parameters lie in a specific two-dimensional region. In the beginning, the proposed distributed control structure's ability is evaluated for two groups with two leaders. Then, it is extended to an arbitrary number of groups with an arbitrary number of leaders. Simulation results indicate the efficiency of this distributed control structure.
Related Concept Videos
Multi-input and Multi-variable systems
In the absence of...
Second Order systems I
By reinterpreting the system, one can derive the closed-loop transfer function, which...
Second Order systems II
Feedback control systems
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
PI Controller: Design
First Order Systems
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...

