Sliding Mode Control For Stochastic Singular Biological Economic Systems

In recent years,the application of stochastic system theory to biological system has become the research focus of many scholars.In real life,most biological systems are affected by stochastic factors that change their behavior.Therefore,it is of important academic value and practical significance to study the modeling and stability analysis of stochastic singular bio-economic systems.Based on stochastic singular system theory and sliding mode control theory,this paper studies the stability and sliding mode observer design of a class of singular bio-economic systems with stochastic fluctuations.The main research work is as follows:(1)This paper introduces the research status of singular bio-economic systems,as well as the research background and general situation of stochastic system and sliding mode control,expounds the basic theoretical knowledge used in this paper,and clarifies the main research contents of this paper.(2)The finite-time stability and control for a class of stochastic singular bio-economic systems is studied.The bio-economic system with stochastic fluctuation is modeled by using singular system,and the model is transformed based on T-S fuzzy theory,and its stability is analyzed.Then,a state feedback controller is designed for the fuzzy stochastic singular bio-economic system,so that the state of the system can be driven to a bounded range through the management of the open resource.The validity of the results is verified by a numerical simulation.(3)The problem of sliding mode control for stochastic singular bio-economic system based on observer is studied.Firstly,we establish a stochastic singular bio-economic system with invasive alien species.Secondly,for the error system,a novel integral sliding surface is constructed,which contains the product of the sliding variable and a negative definite matrix.Then the dynamic characteristics of the resultant closed-loop system when the state trajectories are constrained on the specified sliding surface are analyzed.Finally,observer-based sliding mode controller are designed,so that the state trajectories of the error system and the observer system are attracted to the specified sliding surfaces from the beginning,and the effectiveness is illustrated by a simulation example.