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H∞ consensus and synchronization of nonlinear systems based on a novel fuzzy model
IEEE Transactions on Cybernetics
|June 13, 2013
Summary
This study introduces a new fuzzy modeling approach for nonlinear multiagent systems to achieve leader-following consensus. The method ensures guaranteed H∞ performance under arbitrary network topologies, simplifying controller design.
Area of Science:
- Control Theory
- Nonlinear Systems
- Multiagent Systems
Background:
- Consensus control is crucial for coordinating multiagent systems.
- Nonlinear dynamics and arbitrary network topologies present significant challenges.
- Existing methods often lack guaranteed performance bounds or flexibility.
Purpose of the Study:
- To develop a novel Takagi-Sugeno (T-S) fuzzy modeling approach for H∞ consensus control.
- To address leader-following consensus in nonlinear multiagent systems with arbitrary topologies.
- To extend the fuzzy modeling method for nonlinear system synchronization.
Main Methods:
- A Takagi-Sugeno (T-S) fuzzy modeling technique is proposed for follower agents.
- A leader-following consensus algorithm is designed based on the T-S fuzzy models.
- Sufficient conditions for selecting pinned nodes are derived for network consensus.
Main Results:
- Achieved H∞ consensus control for nonlinear multiagent systems under arbitrary network structures.
- Guaranteed H∞ performance against external disturbances.
- Demonstrated simplified controller design and effective synchronization of nonlinear systems.
Conclusions:
- The proposed T-S fuzzy modeling method effectively solves H∞ consensus and synchronization problems.
- The approach offers a simplified yet robust framework for complex nonlinear systems.
- Numerical simulations validate the theoretical results for chaotic and nonlinear systems.
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