Fault Hiding of Nonlinear Parameter Varying Systems

This letter addresses the problem of fault-tolerant control of nonlinear parameter-varying (N-LPV) systems. Specifically, it focuses on N-LPV models that effectively represent nonlinear systems by partially embedding nonlinearities while preserving sector-bounded terms. This representation simplifies control design by reducing the number of polytope vertices compared to traditional linear parameter-varying approaches. The main contribution of this letter is to present novel fault-hiding approaches for fault-tolerant control of N-LPV models. The proposed approach guarantees recovery of the asymptotic stability for N-LPV systems under multiplicative sensor and actuator faults using a generic static N-LPV structure. Moreover, it guarantees the input-to-state stability of the reconfigured system under additive faults.