Novel geometric and adaptive approaches to fault-tolerant control for linear systems

In this paper, the fault-tolerant control problem for linear systems with actuator faults is investigated based on the geometric and adaptive approaches, and a new reconfiguration control strategy is proposed. The main idea is to keep the original nominal controller as part of the reconfigured closed-loop system, and then ensure that the system output can track a desired trajectory before and after the occurrence of faults without adjusting the nominal controller. In particular, for the stuck and outage faults, the proposed control strategy does not require the condition of actuator redundancy and the more relaxed controller design conditions are given. Furthermore, the adaptive technique is first embedded into the geometric approach to compensate for stuck and outage faults. Finally, the simulation solutions verify the effectiveness of the proposed method.