Robust fault tolerant control based on sliding mode method for uncertain linear systems with quantization.

Area of Science:

• Control Systems Engineering
• Robust Control Theory
• Signal Processing

Background:

• Uncertain linear systems face challenges from state and input signal quantization.
• Actuator failures and quantization errors degrade system performance and stability.
• Existing fault-tolerant control methods may lack robustness or wide applicability.

Purpose of the Study:

• To develop a robust fault-tolerant compensation control strategy for uncertain linear systems.
• To address challenges posed by both state/input quantization and actuator failures.
• To design an adaptive controller that compensates for system uncertainties and disturbances.

Main Methods:

• Incorporation of matrix full-rank factorization with sliding surface design.
• Development of a dynamic uniform quantizer with adjustable quantization sensitivity.
• Design of an adaptive sliding mode controller with a static adjustment policy for quantization sensitivity.

Main Results:

• Achieved robust fault-tolerant compensation control despite actuator failures and quantization.
• Demonstrated stronger fault tolerance and wider applicability compared to existing methods.
• Validated the effectiveness of the adaptive controller in compensating for faults, quantization, disturbances, and uncertainties.

Conclusions:

• The proposed method effectively handles actuator failures and quantization in uncertain linear systems.
• The adaptive sliding mode controller offers robust performance without requiring a fault detection and isolation mechanism.
• The approach enhances fault tolerance and broadens the applicability of control strategies for complex systems.