In this paper, an approach to design a Reliable Admissible Model Matching (AMM) Fault Tolerant Control (FTC) for LPV systems is proposed.
Besides the advantage of optimizing nominal performance, this new reliable design has the flexibility that it can be formulated to tolerate the actuator faults within certain admissible set of actuators, or to tolerate any single actuator fault.
The closed-loop system is asymptotically stable for all admissible uncertainties as well as actuator faults.
The resulting closed-loop fuzzy system is robustly reliable stochastically stable, and the corresponding quadratic cost function is guaranteed to be no more than a certain upper bound for all admissible uncertainties, as well as different actuator fault cases.
Attention is focused on the analysis and design of a full-order fault detection filter such that, for all admissible unknown inputs and incomplete measurements, the error between residual and fault is kept as small as possible.
By means of a descriptor system method, this paper designs a fault detection filter such that the residual system is admissible and satisfies the H∞ performance index when control inputs, actuator faults and unknown bounded disturbances exist.
By using the descriptor observer method, an H∞ fault detection filter is designed to guarantee the residual system is admissible and satisfies the H∞ performance.
Fault-hiding control reconfiguration aims at hiding a fault from the nominal controller while the reconfigured closed-loop system possesses admissible behaviour.
By using the descriptor system method, a H∞ fault detection filter is designed to guarantee that the residual system is admissible and satisfies the H∞ performance index when control inputs, actuator faults and unknown bounded disturbances are included in the systems.
Moreover, the residual evaluation problem is considered also, which involves the detection of the occurrence of fault, the estimation of false alarm rate, and the choice of threshold guaranteeing an admissible false alarm rate.
