On designing interval observer for discrete-time positive fuzzy Markov jump systems with bounded disturbance input

This paper deals with the design problem of interval observer for discrete-time positive fuzzy Markov jump system (FMJS) with bounded disturbance input. For such a system, a mode-dependent Luenberger-like fuzzy interval observer is constructed to estimate the upper and lower bounds of the system state in real time. The upper-bounding and lower-bounding estimation error systems are formulated by two positive FMJSs. Using the fuzzy-dependent linear co-positive function method and the linear programming technique, some solvable conditions for stochastic l 1 -gain performance analysis and interval observer design of the two estimation error systems are derived, respectively. Some numerical results are used to validate the design effectiveness.