Finite Time Control Of Stochastic Nonlinear Systems And Its Applications

Due to the influence of external environment and other uncertain factors,many industrial and economic systems are often regarded as stochastic nonlinear systems.At present,the research on stochastic nonlinear systems is a hot topic.Due to the uncertainty of the stochastic nonlinear system itself and the randomness of external interference caused by environmental factors,how to effectively control and obtain good system performance has attracted many scholars’ research interests.Therefore,it is particularly important to study the stability analysis and controller design of stochastic nonlinear systems.In this paper,the finite time control problem of It?-type stochastic nonlinear systems is studied.The main contents are as follows:For a class of It?-type stochastic nonlinear system,the finite time H∞ control of this kind of system is studied through Ito formula,LMI and state observer under the condition that there are random disturbances and the system state is not measurable or completely measurable and the transient performance and anti-interference ability of the system are guaranteed.The state observer is designed to estimate the system state variables.On this basis,using the estimated system state variables combined with the H∞ performance,the corresponding state feedback controller is designed to ensure that the system meets the meansquare finite time boundedness and the corresponding H∞ performance decay index.For T-S fuzzy It?-type stochastic nonlinear systems,the finite time boundedness and input-output finite time stability problems are studied.Combined with the H∞ performance,the state feedback controller is designed,and new sufficient conditions are given to ensure that the T-S fuzzy stochastic nonlinear system under study satisfies the finite time boundedness and the input-output finite time stability,and meets a certain H∞ performance decay index,which further improves the robustness and anti-interference ability of the system.Finally,the results are applied to the inverted pendulum system to verify its effectiveness and feasibility.