Fault detection and isolation in linear parameter‐varying descriptor systems via proportional integral observer

Abstract

SUMMARY The main contribution of this paper is the design of a polytopic unknown inputs proportional integral observer (UIPIO) for linear parameter‐varying (LPV) descriptor systems. This observer is used for actuator fault detection and isolation. The proposed method is based on the representation of the LPV descriptor systems in a polytopic form. Its parameters evolve in an hypercube domain. The designed polytopic UIPIO is also able to estimate both the states and the unknown inputs of the LPV descriptor system. Stability conditions of such observer are expressed in terms of linear matrix inequalities. An example illustrates the performances of such polytopic UIPIO. Copyright © 2011 John Wiley & Sons, Ltd.