Resilient fuzzy control design of singular stochastic biological economic fishery model

Abstract

This research paper focusses on designing a resilient fuzzy controller for a kind of singular stochastic biological economic fishery model with a variable economic profit. Initially, the singular stochastic biological economic fishery model is formulated as T‐S fuzzy singular systems. By using the ideas of continuous frequency distribution and Lyapunov approach, a fresh collection of linear matrix inequalities is developed which are sufficient to establish the asymptotic stability of the singular biological economic fishery model. Later these conditions are extended to obtain some novel sufficient finite‐time stability conditions for the addressed model. The ultimate objective of this research paper is to develop a more generalized version of the resilient controller against nonlinear actuator faults such that it makes the considered system stable within a finite interval of time. Moreover, the developed conditions are based on the solutions of LMIs which provides maximal estimation of region of attraction. Conclusively, simulation results are provided to embellish the usefulness of the obtained control design.