Robust state and fault estimation observer for discrete-time D-LPV systems with unmeasurable gain scheduling functions. Application to a binary distillation column
Abstract
This paper deals with the problem of robust jointly state and fault estimation (actuator and sensor) observer design for discrete-time Descriptor-Linear Parameter Varying (D-LPV) with unmeasurable gain scheduling. The proposed approach is based on the $H_\infty$ synthesis applied to the state estimation error. Sufficient conditions are given by a set of Linear Matrix Inequalities (LMIs), which guarantee robustness to disturbances/noise and to the error given by the unmeasurable gain scheduling functions. Thus, the main contribution is to develop a conceptually simple integrated procedure to estimate states, sensor or actuator faults. In order to illustrate the methodology, simulations based on a realistic model of binary distillation column are considered.