Sensor fault estimation for fractional-order descriptor one-sided Lipschitz systems

Up to now, the problem of sensor fault estimation for integer-order descriptor systems has been tackled by several researchers. However, no attempt has been done to estimate sensor faults for fractional-order descriptor systems. In this context, this paper presents a complete methodology to solve this problem. On the other hand, to the best of our knowledge, among all the existing works dealing with the observer design task for fractional-order descriptor systems, no paper has treated the special class of one-sided Lipschitz systems. In this paper, the designed observer is capable of estimating sensor faults for one-sided Lipschitz systems, thanks to a linear matrix inequality technique. In order to validate the theoretical results, a second-order numerical example as well as a third-order one are studied in the simulation section. The simulation results show that the sensor fault estimates are satisfactory.