Simultaneous robust actuator and sensor fault estimation for uncertain non‐linear Lipschitz systems. Issue 14 (1st September 2014)

• Record Type: Journal Article
• Authors: Zhang, Jian; Swain, Akshya Kumar; Nguang, Sing Kiong
• Is Part Of: IET control theory & applications. Volume 8:Issue 14(2014)
• Page Start: 1364
• Page End: 1374
• Publication Date: 2014-09-01
• Subjects: robust control -- nonlinear control systems -- uncertain systems -- variable structure systems -- observers -- H∞ control -- linear matrix inequalities -- optimisation -- fault diagnosis; simultaneous robust actuator -- sensor fault estimation -- uncertain nonlinear Lipschitz systems -- sliding mode observers -- SMO -- matching condition -- adaptive observer -- ℋ∞ disturbance attenuation level -- ℋ∞ tracking performance -- linear matrix inequality optimisation problem; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2014.0096
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : The present study proposes two schemes for simultaneously estimating actuator and sensor faults for a class of uncertain non‐linear systems. In the first scheme, two sliding mode observers (SMOs) are designed to estimate actuator and sensor faults, respectively, under the assumption that the matching condition holds. In the second scheme, the assumption of matching condition is relaxed and an adaptive observer has been designed to estimate the sensor fault instead of using an SMO. The effects of the system uncertainties on the estimation errors of states and faults are reduced by integrating a prescribed ℋ∞ disturbance attenuation level into the proposed schemes. The sufficient condition for the existence of the proposed observers with ℋ∞ tracking performance is derived and expressed as a linear matrix inequality optimisation problem such that the ℒ2 gain between the estimation errors and system uncertainties is minimised. Finally, a simulation study is presented to illustrate the effectiveness of the proposed schemes.