Delayed reset control design for uncertain fractional-order systems with actuator faults via dynamic output feedback scheme

In this work, the stabilization of uncertain fractional-order dynamical control system with actuator faults and external disturbances will be addressed. Specifically, a fractional-order reset control system consisting of two sub-systems namely flow and jump subsystems will be designed. Based on the triggering conditions of reset law, a particular subsystem of the control system will be invoked. Meanwhile, the uncertainty and time-delay will be incorporated in the reset control system. Then the output of the reset control system, that is the control input of the system is designed to be fault-tolerant due to the presence of actuator faults. Further, the fractional-order dependent linear matrix inequalities (LMIs) will be derived by an appropriate choice of a Lyapunov function and other matrix inequalities. Thus, by solving the obtained LMIs, the gain values can be obtained guaranteeing the stabilization of the closed loop system with prescribed disturbance attenuation level. Later, the theoretical results are authenticated by providing numerical simulation results.