Fixed-time feasibility-guaranteed BLF control with full-state constraints and full-error performance under deception...

Area of Science:

• Control Theory
• Nonlinear Systems Engineering
• Cybersecurity in Control Systems

Background:

• Nonlinear systems often face challenges like actuator saturation and state constraints.
• Deception attacks pose significant threats to control system stability and performance.
• Existing control strategies may struggle with singularity issues or computational complexity.

Purpose of the Study:

• To develop a singularity-free fixed-time control strategy for nonlinear systems.
• To address actuator saturation, asymmetric time-varying state constraints, and dual-channel deception attacks simultaneously.
• To guarantee boundedness of signals and fixed-time convergence of error dynamics.

Main Methods:

• A smooth asymmetric saturation approximation was developed to maintain differentiability.
• A feasibility-guaranteed barrier Lyapunov function (FGBLF) framework was constructed.
• A unified framework integrated FGBLF for constraint enforcement and prescribed performance.
• A fixed-time adaptive dynamic surface filter was incorporated to reduce computational load.

Main Results:

• The proposed control scheme ensures boundedness of all closed-loop signals.
• Fixed-time convergence of error dynamics was achieved.
• The strategy effectively handles actuator saturation, state constraints, and deception attacks.
• Simulation results confirmed the method's effectiveness and implementation feasibility.

Conclusions:

• The developed control strategy offers a robust solution for complex nonlinear systems.
• It successfully integrates constraint satisfaction, performance guarantees, and resilience to attacks.
• The approach avoids singularity issues and maintains analytical consistency.