Fault detection based on interval observers for discrete-time fuzzy Markov jump systems
WANG Shujia
ZHU Shuqian
Abstract：For a class of discrete-time fuzzy Markov jump systems with actuator faults,the problem of fault detection in finite frequency domain is investigated based on the interval observer approach.The mode-dependent fuzzy interval observer is proposed by utilizing the boundary information of both system state and persistent external disturbances,and the upper-bound and lower-bound estimation error augmen-ted system model is constructed with generated dynamic residual intervals,then the lf performance and H-performance indexes are further introduced to evaluate the robustness of the residual intervals to the disturbances and the sensitivity to the faults,respectively.In order to overcome the difficulty of designing the performance index in the finite frequency domain due to the mode transfer probability,the Markovian state mathematical expectation is introduced to transform the error system into a deterministic fuzzy sys-tem,and the mode-dependent fuzzy Lyapunov function method is applied to establish the analysis results of lf performance and H-performance of the error system,respectively,then the design and optimization algorithms of the interval observer are proposed to realize the fault detection in finite frequency domain by linear matrix inequalities.The effectiveness and superiority of the proposed algorithms in fault detection efficiency are verified by numerical simulation.
Keywords：fuzzy Markov jump systemfuzzy interval observerfault detectionfinite frequency domain
Publication Date：2026-04-25
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：12( 159-170 )