Finite Time H_∞ Filtering For Linear Stochastic Time-delay Systems

In practical applications such as chemical reactions and robotic behavior control,the system is often required to achieve certain dynamic characteristics at a specific time or to keep the system state within certain bounds at all times.The presence of time lags often makes it difficult for the system to achieve this goal.Simultaneously,uncertainties and external disturbances can also lead to deviations in the measured signal of the system.,The insensitivity of the H_∞filter to uncertainty in the system model can be leveraged to effectively manage arbitrary noise with finite energy.Therefore,it is of practical significance to study the finite time H_∞filtering for systems with uncertainty and time-delay.The main contents are as follows:Firstly,a finite-time H_∞ filtering problem is studied for a class of stochastic delay systems with bounded interference.By introducing finite time into the H_∞filtering problem,the filter is designed with the goal of constructing an appropriate Lyapunov functional that combines It?o formula to achieve a filter error system that is randomly bounded in finite time.Additionally,filter parameters satisfying the finite-time H_∞performance are obtained using linear matrix inequality toolbox.The given example verifies that the method is correct.Secondly,the finite time H_∞ filtering problem of neutral delay systems with external noise is studied.By introducing finite-time into the H_∞filtering problem,the filter is designed with the goal of constructing an appropriate Lyapunov functional that combines It?o formula to achieve a filter error system that is randomly bounded in finite time,the filter parameters satisfying the performance of finite-time H_∞are obtained using the corresponding matrix inequality algorithm.The given example verifies that the method is correct.Finally,according to the H_∞ filtering method of two kinds of time-delay systems studied in this paper,the finite time H_∞filter is solved for the unmeasured variables in the time-delay system of chemical petroleum reaction process and the neutral time-delay system of current transmission,respectively,we get a satisfactory result.