Robust fault-tolerant preview control of linear parameter-varying discrete-time systems

This study presents a new fault-tolerant preview tracking control (FTPTC) method using linear fractional representation (LFR) with regard to discrete-time linear parameter-varying (LPV) systems. To achieve preview tracking performance, a design strategy for a stable controller with integral, fault estimation, and preview actions is adopted. First, a fault estimation methodology for an LPV/LFR system with an actuator failure and external interference is developed utilizing the state observer approach. Next, based on the obtained fault estimation information, an equivalent augmented model including future information on reference signals, is developed, which converts preview tracking control (PTC) problem to a stabilization problem. Less conservative stability conditions for LPV have developed. Lastly, we performed two instances to validate the efficiency of the control approach that was proposed.