Fault diagnosis based on sliding mode observer for LPV descriptor systems

Abstract

This paper considers the problem of fault detection and reconstruction of actuator faults for linear parameter varying descriptor systems. A polytopic sliding mode observer (PSMO) is constructed to achieve simultaneous reconstruction of LPV polytopic descriptor system states and actuator faults. Sufficient conditions for the existence and design algorithm of the proposed polytopic sliding mode observer are provided. In addition, the design of the PSMO is formulated in terms of linear matrix inequalities that can be suitably solved using convex optimization techniques. This PSMO can force the output estimation error to converge to zero in a finite time when the actuators faults are bounded through the reinjection of the output estimation error via a nonlinear switching term. The effectiveness of the design technique is illustrated through a simulation of an anaerobic bioreactor.

Fault estimation for aero‐engine LPV systems based on LFT

“…Step I. Given γ, solve LMIs (12)- (14) to obtain L, J, Q 3 , R 3 , e Q 3 , e R 3 , S 4 , and e S 4 .…”

“…Until now, there have been mainly two types of methods to deal with LPV system fault estimation. One is the observer-based method [11][12][13][14], which can reconstruct faults accurately based on the precise model of the system, but it is sensitive to the models uncertainties and disturbances. To overcome this limitation, the H ∞ optimization-based method featuring strong robust performance has been proposed.…”

State and fault estimation for nonlinear recurrent neural network systems: Experimental testing on a three‐tank system

“…LMIs have been applied to solve the parameter‐dependent problem of the LPV fault estimator . Scholars have designed an observer to estimate the system states and fault for the generalized LPV systems . A researcher has studied robust fault detection and estimation for nonlinear descriptor systems with a residual generator based on an unknown input observer .…”

Observability of probabilistic Boolean multiplex networks

“…The optimal control of Boolean networks was considered in [30,31]. In addition, the design of sliding mode observers for different systems was studied in [32–36].…”