Fault Tolerant Control of Switched Affine Systems With Application to Boost Converter: The Transition-Dependent Bumpless Transfer Approach

The ${\mathcal {L}}_{\infty }$ bumpless transfer fault-tolerant control problem is addressed for continuous-time switched affine systems with actuator faults and bounded disturbances. A novel piecewise transition-dependent fault-tolerant controller is designed, by enforcing the specified bumps limitation constraints, sufficient conditions for the existence of the fault-tolerant controller are derived satisfying a new average dwell time constraint, which guarantees the practical stability of the closed-loop system and the bumpless transfer as switching and faults occur. Finally, both practicability and validity of the developed methods are illustrated through a case study of DC-DC boost converter.