Abstract This paper addresses the problem of prognostics based on Joint Estimation States and Parameters (JESP) using a zonotopic Linear Parameter-Varying (LPV) set-membership approach. The aim is to forecast Remaining Useful Life (RUL) systems with degraded components. Thus, this suggests transforming such nonlinear dynamical models into an LPV representation. Hence, Zonotopic Set-Membership (...

− The paper deals with joint state and parameter estimation for nonlinear continuous-time systems. Based on a guaranteed LPV approximation, the set adaptive observers design problem is solved avoiding the exponential complexity obstruction usually met in the set-membership parameter estimation. Potential application to fault diagnosis is considered. The efficacy of the proposed set adaptive obs...

This work presents set-membership adaptive algorithms based on time-varying error bounds for CDMA interference suppression. We introduce a modified family of set-membership adaptive algorithms for parameter estimation with time-varying error bounds. The algorithms considered include modified versions of the set-membership normalized least mean squares (SM-NLMS), the affine projection (SM-AP) an...

This paper considers the problems of channel estimation and adaptive equalization in the novel framework of set-membership parameter estimation. Channel estimation using a class of set-membership identiication algorithms known as optimal bounding ellipsoid (OBE) algorithms and their extension to track time-varying channels are described. Simulation results show that the OBE channel estimators o...