Robust fuzzy sliding mode control for the bio-economic singular stochastic Markov jump system

Throughout the paper, the sliding mode control of bio-economic fuzzy singular Markov system is studied to make the biomass stability at low cost. First, a bio-economic singular system is established by taking the intrinsic growth rate of immature species as a Markov chain, and describing the system with a Takagi-Sugeno (T-S) fuzzy model. Hereafter, an suitable sliding mode surface is proposed, and the stochastic admissibility of the fuzzy singular Markov jumping system based on the integral sliding mode surface can be ensured by a set of sufficient conditions. Immediately, the SMC law is proposed to make the sliding surface meet the accessibility condition. At last, the effectiveness of the proposed method is verified by two examples of eel seedling breeding.