Fault tolerant control approach based on multiple models and set-membership state estimation

Abstract

This paper proposes a new Fault Tolerant Control technique based on the Multiple Models approach for linear systems with bounded perturbations and measurement noises. The consistency of each model with the measurements is checked at each sample time, using an ellipsoidal set-membership state estimation. A Min-Max Model Predictive Control is developed in order to find the optimal control and the best model in spite of the simultaneous presence of component and/or actuator and/or sensor faults. An illustrative example is analyzed in order to show the effectiveness of the proposed approach.

Fault-tolerant periodic economic model predictive control of differential-algebraic-equation systems

“…θ f denotes the parameter depending on the estimated faults. Note that this parameter can be estimated by using the set-membership strategy proposed in [7] and the multiple model (including faulty and healthy models) method proposed in [17].…”

“…Definition 6 (Economic Performances Set): The feasible economic performances set along the MPC prediction horizon is given by (17) and corresponds to the set of all values of J Ω k obtained from feasible solutions set Ω k .…”

The Fault Tolerant Control Design of an Intensified Heat-Exchanger/Reactor Using a Two-Layer, Multiple-Model Structure

“…Due to the development of computing devices, doing parallel calculations of multiple models is not longer a problem to hardware; that change intensively boosted the growth of the multiple-model approach. It is not only used for controller design (see [ 15 , 16 ]) but is also applied in the domain of system reliability for things such as fault diagnosis and fault tolerant control; see [ 17 , 18 ]. Multiple model approaches deal with fault diagnosis problems in a way to avoid the complicated process of observer and controller design of the real system.…”