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Prescribed-time cluster lag consensus control for second-order non-linear leader-following multiagent systems.
Yuanhong Ren1, Wuneng Zhou1, Zhiwei Li2
1College of Information Science and Technology, Donghua University, Shanghai 201620, China.
ISA Transactions
|October 14, 2020
Summary
Researchers developed a new control protocol for multiagent systems (MAS) to achieve prescribed-time lag consensus. This method ensures systems reach agreement within a specified timeframe, regardless of initial conditions.
Area of Science:
- Control Theory
- Distributed Systems
- Networked Systems
Background:
- Consensus problems are crucial for coordinating multiagent systems (MAS).
- Achieving consensus within a predefined finite time presents significant control challenges.
- Existing methods often lack flexibility in specifying the exact time for consensus.
Purpose of the Study:
- To investigate prescribed-time lag consensus in multiagent systems.
- To design a distributed control protocol enabling consensus in any specified time.
- To extend this to prescribed-time cluster lag consensus with varying lag times.
Main Methods:
- Design of a novel distributed controller with time-varying gains.
- Introduction of a state transformation to handle complex time-varying functions.
- Application of graph theory and generalized Lyapunov stability theory for validation.
Main Results:
- A control protocol was proposed for achieving prescribed-time lag consensus in MAS.
- The controller ensures followers achieve consensus within a user-defined time.
- A solution for cluster lag consensus was developed, allowing different lag times per group.
Conclusions:
- The proposed control strategy effectively achieves prescribed-time lag and cluster lag consensus.
- Theoretical validation confirms the controller's efficacy using advanced stability techniques.
- Simulation examples demonstrate the practical performance of the developed solutions.
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