Fault-tolerant control for repeat system with sensor fault based on type-D iterative learning method

With the increasing complexity of system, the sensor might induces failure more easily in the future, and the model-based controller design will become more complicated. This paper uses the D-type iterative learning law to reduce the system complexity. In order to guarantee that the D-type iterative learning law is convergence under the condition that the sensor fault is bounded in simple input simple output (SISO) linear continuous systems, we illustrates the sufficient conditions and proves it. In addition, by using linear matrix inequalities (LMI), we devise a quick determination method which can obtain the optimal iteration gain. An application example is also provided to illustrate the effectiveness and advantages of our approach.