Descriptor observer‐based sensor and actuator fault tolerant tracking control design for linear parameter varying systems

This article investigates the design of a descriptor observer (DO)‐based sensor and actuator fault (SAF) tolerant tracking control for linear parameter varying (LPV) systems with LPV outputs and disturbed by unknown inputs. The fault tolerant tracking control closed loop system is made of: a DO, a proportional integral derivative (PID) AF tolerant tracking controller, and a sensor fault compensation block. The proposed approach gives a solution to the tracking control problem for this class of systems where the observer and the controller gain matrices can be obtained by solving an optimization problem. The main advantages of this approach with regard to previous approaches are getting around a critical situation which is that the studied LPV system is subject to SAFs simultaneously and unknown inputs, with less conservative results and improving trajectory tracking performances especially in terms of accuracy and rapidity. The performances of the proposed approach are compared to a previous study through a numerical example which is carried out on an hydraulic system.