Finite-time decentralized non-fragile dissipative control for large-scale systems against actuator saturation

Area of Science:

• Control Systems Engineering
• Systems Theory
• Optimization Algorithms

Background:

• Large-scale systems are susceptible to actuator faults and saturation, impacting stability and performance.
• Existing actuator fault models may not capture the complexities of real-world scenarios.
• Ensuring finite-time boundedness and dissipativeness is crucial for robust system operation.

Purpose of the Study:

• To design a novel decentralized fault-tolerant controller for large-scale systems.
• To address challenges posed by actuator faults, actuator saturation, and nonlinear interconnections.
• To ensure finite-time boundedness and dissipativeness under these conditions.

Main Methods:

• Employing linear matrix inequality (LMI)-based optimization algorithms.
• Developing a generalized time-varying actuator fault model.
• Utilizing a Lyapunov-Krasovskii functional for stability analysis.

Main Results:

• Sufficient conditions for finite-time boundedness and dissipativeness are derived.
• A novel decentralized fault-tolerant controller is designed.
• The controller effectively compensates for actuator faults, saturation, and interconnections.

Conclusions:

• The proposed control design technique is effective for large-scale systems with actuator faults and saturation.
• The novel time-varying fault model enhances the generality of the controller design.
• Simulation results validate the performance and potential of the proposed method.