ℋ−/ℋ∞ memory fault detection filtering design for uncertain systems with finite frequency specifications. (10th May 2021)

• Record Type: Journal Article
• Authors: Zhao, Rong; Liu, Lu; Feng, Gang
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 11(2021)
• Page Start: 5381
• Page End: 5403
• Publication Date: 2021-05-10
• Subjects: ℋ−/ℋ∞ filtering -- fault detection -- finite frequency domain -- memory filtering -- polytopic uncertainties; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5552
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: This article is concerned with the ℋ − / ℋ ∞ memory fault detection filtering design in finite frequency domain for discrete‐time systems with polytopic uncertainties. Under the assumption that both disturbances and faults are restricted to finite frequency ranges, that is, the low, middle, or high frequency range, an admissible memory fault detection filter is developed by using historical information of the system. It is shown that the asymptotic stability with prescribed ℋ − / ℋ ∞ performance of the closed‐loop filtering error system is guaranteed. It is also shown that by using historical system outputs along with parameter‐dependent Lyapunov functions, the better performance of the resulting fault detection filter is obtained. With the aid of Projection lemma, sufficient conditions for the fault detection filtering design are established by solving an optimization problem in the form of a set of linear matrix inequalities (LMIs). Finally, three examples are presented to demonstrate the effectiveness and advantages of the proposed approach.