Actuator fault estimation and accommodation for switched systems with time delay: Discrete-time case

Area of Science:

• Control Systems Engineering
• Fault Diagnosis and Tolerant Control
• Discrete-Time Systems

Background:

• Actuator faults pose significant risks to the stability and performance of discrete-time switched systems.
• State delays introduce complexities in accurately estimating and accommodating these faults.
• Existing methods may not adequately address the combined challenges of switched dynamics, state delays, and actuator faults.

Purpose of the Study:

• To develop an effective fault estimation algorithm for discrete-time switched systems with actuator faults and state delays.
• To design a fault-tolerant control strategy for compensating estimated actuator faults.
• To ensure the stability and robustness of the closed-loop system in the presence of actuator failures.

Main Methods:

• Utilizing a reduced-order observer for online actuator fault estimation.
• Employing switched Lyapunov function techniques for stability analysis.
• Designing a switched dynamic output feedback controller for fault accommodation.

Main Results:

• An effective fault estimation algorithm was successfully developed for the specified system class.
• The proposed controller effectively compensated for actuator faults, stabilizing the closed-loop system.
• Simulation results demonstrated the efficacy and practicality of the developed fault estimation and accommodation strategies.

Conclusions:

• The proposed approach provides a robust solution for actuator fault estimation and accommodation in discrete-time switched systems with state delay.
• The integration of reduced-order observers and switched Lyapunov functions offers a promising direction for fault-tolerant control design.
• The study contributes to enhancing the reliability and safety of complex dynamical systems susceptible to actuator failures.