Analysis And Design For Stochastic Jump Singular Time-Delay Systems

Engineering systems are often affected by stochastic factors from the internal or external environment of the structure,resulting in sudden changes in the system model.Such sudden changes result from the failure of system components or the connection between components,environmental sudden changes or the change of the working point of the nonlinear system.The stochastic jump singular system model can more accurately reflect the dynamic characteristics of this kind of structural sudden change system.After analyzing and discussing the research background and existing conclusions of this topic,we will conduct a class-by-class study from the system model,performance indicators and restricted conditions.In this paper,for the stochastic jump singular time-delay systems,considering the effects of input saturation,quantization feedback,uncertainty and external disturbance.The stability analysis of the system is based on linear matrix inequality(LMI)technique,and the corresponding feedback controller and filter are proposed.The main results of this paper are as follows:(1)The passive stability analysis and state feedback controller is designed for a class of singular time delay systems with input saturation.Furthermore,multiple strict passive analysis and mode-dependent feedback controller is designed for Markov jump singular time delay systems with actuator saturation.The Wirtinger integral inequality is used to reduce the conservatism of delay-dependent criteria.Then,an optimization for attraction domain is given.Finally,the numerical simulations show that the obtained criterion has less conservative and the feasibility of the method.(2)The dissipative filter is designed for Markov jump singular time-delay systems with unknown transition rate matrix(TRM).Considering the three types of not completely known TRM,the filter design method can be given,which satisfies the dissipativity.Finally,in the numerical simulation,Markov jump singular time-delay systems model is used to illustrate the superiority of the obtained delay-dependent criteria in terms of conservativeness and computational complexity.The circuit system is taken as the practical background to further illustrate the effectiveness of the proposed theoretical method.(3)A reduced order quantization sliding mode control method is proposed for a class of semi-Markov jump nonlinear systems with uncertain parameters.The gains of sliding surface are obtained according to LMI,so that the system is stochastic stable after reaching the sliding surface.The non-matching quantitative sliding mode control strategy is given and the reachability of the sliding surface is proved.Finally,numerical simulation of vertical take-off and landing aircraft(VTOL)demonstrates the effectiveness of the proposed method.(4)A mean-square synchronous controller is designed for a class of singular complex network systems with actuator saturation and randomly occurring time-delay.Based on Bernoulli distribution and stochastic system stability theory,the criterion of mean-square stability of closed-loop error system and the optimization method of attracting domain are given.Finally,the feasibility of the method is illustrated by two numerical simulations including Chua's circuit.