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Adaptive neural network based leader-following consensus control for a class of second-order nonlinear multi-agent
Fathia Moh Al Samman1, Wajiha Abdul Khaliq2, Shreefa O Hilali3
1Department of Mathematics, College of Sciences, Northern Border University, Arar, Saudi Arabia.
This study develops an adaptive neural network control strategy for second-order nonlinear multi-agent systems (MASs) facing faults and saturation. The approach ensures leader-following consensus despite complex uncertainties and failures.
Area of Science:
- Control Theory
- Robotics
- Artificial Intelligence
Background:
- Multi-agent systems (MASs) are crucial in various fields, but their control is challenged by nonlinear dynamics, input saturation, and component faults.
- Existing control methods often rely on restrictive assumptions like global Lipschitz conditions, limiting their applicability to complex, real-world scenarios.
Purpose of the Study:
- To address the leader-following consensus problem in second-order nonlinear MASs with practical limitations.
- To propose a robust adaptive control strategy that accommodates unknown nonlinear dynamics, input saturation, actuator faults, and sensor faults.
Main Methods:
- Utilized a differential mean value theorem to handle unknown nonlinear factors more effectively than traditional methods.
- Developed a distributed adaptive neural network (NN)-based controller using only relative position and velocity data, avoiding the need for complete state measurements.
- Employed stability theory and Lyapunov functions to rigorously prove the achievement of leader-following consensus.
Main Results:
- The proposed adaptive NN control strategy successfully achieves leader-following consensus in second-order nonlinear MASs.
- The controller demonstrates resilience against unknown nonlinear dynamics, actuator faults, sensor faults, and input saturation.
- Simulation results validate the effectiveness and robustness of the proposed control method in complex MASs.
Conclusions:
- The study presents a novel and effective adaptive control solution for challenging MASs scenarios.
- The approach enhances the practical applicability of consensus control by addressing multiple real-world constraints.
- The findings contribute to the advancement of robust control strategies for distributed autonomous systems.
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