Practical fixed-time observer-based generalized cascade predictor design for synchronization of integrator systems...

Area of Science:

• Control Systems Engineering
• Nonlinear Dynamics
• Distributed Systems

Background:

• Leaderless synchronization is crucial for distributed systems.
• High-order integrator chains face challenges from nonlinear dynamics, noise, disturbances, and time delays.
• Existing methods struggle with complex, time-varying conditions.

Purpose of the Study:

• To develop robust output feedback protocols for leaderless synchronization in high-order integrator chains.
• To address input/output time delays, nonlinear dynamics, measurement noise, and matched disturbances.
• To design novel predictor devices utilizing extended state observers (ESOs).

Main Methods:

• Proposed a novel extended state observer (ESO)-based predictor device for normal-scale input delays.
• Developed leaderless fully distributed synchronization protocols using integral sliding mode and ESO predictors.
• Extended the predictor device to a cascade structure for broader input delay handling.
• Employed Lyapunov-Krasovskii functional for synchronization analysis.

Main Results:

• Achieved fixed-time convergence of synchronization errors to a residual set.
• The proposed ESO-based protocols effectively compensate for delays and uncertainties.
• Demonstrated superior performance and robustness compared to existing methods through simulations.
• The anti-disturbance, time-delay compensation scheme is general, not relying on known exosystems.

Conclusions:

• The novel ESO-based predictor devices and synchronization protocols are effective for high-order integrator chains.
• The methods provide robust, fixed-time leaderless synchronization under complex conditions.
• The study offers a significant advancement in distributed control systems with time delays and disturbances.