A Fuzzy Design for a Sliding Mode Observer-Based Control Scheme of Takagi-Sugeno Markov Jump Systems under Imperfect Premise Matching with Bio-Economic and Industrial Applications

Fuzzy theory is widely studied and applied. This article introduces an adaptive control scheme for a class of non-linear systems with Markov jump switching. The introduced supposes that the system submitted to external disturbances under imperfect premise matching. By using discrete-time Takagi–Sugeno fuzzy models, sliding mode observer-based utilized estimate unmeasured states system. We build two switching manifolds disturbance observer systems. Then, linear matrix inequality-based criterion developed slack matrices. proves dynamics are robustly admissible H-infinity performance often used in theory. Hence, new controllers synthesized allows reachability pre-designed surfaces be guaranteed. Finally, experimental numerical illustrations on bio-economic tunnel diode circuit presented show potential applications, as well validating effectiveness proposed present investigation.