This paper mainly addresses the practical consensus problem of nonlinear multi-agent systems modeled by reaction-diffusion equations subject to the bounded external disturbances. Different from the existing consensus control methods associated with spatiotemporal dynamics, the proposed H Neumann boundary controller based on distributed measurement data can guarantee the optimal disturbance attenuation performance under the actuator saturation. Initially, a consensus spatiotemporal error model is constructed by introducing the Kronecker product and equivalent directed graph. Subsequently, a linear matrix inequalities (LMIs)-based sufficient condition is derived by combining the improved Lyapunov-based approach and H norm. Then, an optimization problem is proposed by applying invariant set, such that the consensus errors can converge to a minimized bounded region in the presence of actuator saturation. Finally, comparison simulations on the synchronization of FitzHugh-Nagumo (FHN) model are given to demonstrate the effectiveness of proposed methodology.
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| http://dx.doi.org/10.1016/j.isatra.2022.09.024 | DOI Listing |
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Article Synopsis
- The paper explores a unified tracking control approach for high-order nonlinear systems facing seven types of irregular state constraints and input saturation, utilizing a dynamic event-triggered mechanism.
- Auxiliary boundaries are introduced to manage these irregular constraints, allowing flexibility in response to changing conditions while maintaining a consistent controller structure.
- The study employs nonlinear transformed functions to enhance the controller's effectiveness, and demonstrates the approach through simulation and real-world examples, highlighting its efficiency in reducing communication and energy load.
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