Integrated fault detection and control design for continuous-time switched systems under asynchronous switching.

Area of Science:

• Control Systems Engineering
• Nonlinear Systems Analysis
• Fault Detection and Diagnosis

Background:

• Switched systems are prevalent in various engineering applications.
• Asynchronous switching poses challenges for traditional control and fault detection methods.
• Integrated fault detection and control design (IFDCD) is crucial for system reliability.

Purpose of the Study:

• To develop an IFDCD methodology for continuous-time switched systems with asynchronous switching.
• To design a robust observer and switched controllers for asymptotic stability.
• To address the asynchronous nature of the designed controller/detector relative to the system.

Main Methods:

• Utilizing piecewise Lyapunov functions for stability analysis.
• Applying H-infinity control techniques for performance guarantees.
• Employing the average dwell-time approach to handle switching dynamics.
• Formulating the problem solution via linear matrix inequalities (LMIs).

Main Results:

• An observer and switched controllers are designed to achieve asymptotic stability in the closed-loop system.
• The proposed method effectively handles asynchronous switching between system modes and controllers/detectors.
• The solvability of the IFDCD problem is demonstrated through LMIs.

Conclusions:

• The developed IFDCD method is effective for continuous-time switched systems with asynchronous switching.
• The approach is validated through case studies on a boost converter and a highly maneuverable aircraft.
• This work provides a robust framework for fault detection and control in complex dynamic systems.