Event-triggered finite-time admissibilization of bio-economic singular semi-Markovian jump fuzzy systems.

• The bio-economic SSMJSs is formulated using T-S fuzzy modeling, in which the commodity price is governed by a semi-Markov process, and an event-triggered controller is proposed for this system using an affine membership-based approach. • The required sufficient conditions to ensure the admissibility of the addressed system over a specified finite-time interval are obtained using dissipative theory and the Lyapunov-Krasovskii functional method. • The eel seedling harvesting model is used to demonstrate the effectiveness and utility of the developed controller design. An event-triggered scheme-based admissibilization problem of bio-economic singular semi-Markovian jump systems over a finite-time interval is investigated in this study, where the commodity price is assumed to follow a semi-Markov process. To facilitate analysis, the addressed system is expressed using Takagi-Sugeno fuzzy modeling with two fuzzy rules, which is then generalized to a finite number of fuzzy rules. Following that, an affine membership-based event-triggered controller is proposed for the system under consideration to ensure the desired admissibility within a given finite-time interval. A new set of conditions that adequately guarantees the aforementioned problem is derived using the Lyapunov-Krasovskii stability theory, parameterized linear matrix inequality technique and dissipative theory. A numerical example based on the eel seedling harvesting model is considered to validate the developed theoretical findings, where the significance of the proposed control design method is clearly demonstrated. [ABSTRACT FROM AUTHOR]