Design Of Finite Time State Feedback Controller For Lower Triangular Stochastic Nonlinear Systems

With the rapid development of industrialization and the gradual improvement of automation level,while the controlled object becomes more and more complex,the requirements of control speed and precision are also improved.The previous results are generally based on bounded stability or asymptotic stability,and finite time stability has better effect on improving the transient performance of the system.Systems with strict feedback form are the basic and most important class of nonlinear systems,but due to the complexity of nonlinear systems and their wide application,there are still many fields to be studied.For example,the field of stochastic system and interconnected system,which requires us to do a deeper exploration.In this paper,the finite time state feedback control problem of high order interconnected stochastic nonlinear systems with saturated input or dead-zone characteristics is studied,and the event trigger mechanism and stochastic inverse dynamic term are considered in different systems.The accuracy of the designed controller is verified by a series of simulation experiments.The details are as follows:Firstly,a state feedback controller is designed for the first power lower triangular stochastic nonlinear system with saturated input.By using backstepping method,a Lyapunov function with novel integral form is designed.By using the method of increasing power integral term,combining with hyperbolic tangent function,and using some inequality scaling techniques and lemmas,the system is designed so that the system can operate at any time Compared with the previous results,the controller which can achieve finite time stability under the initial conditions has faster convergence speed and higher accuracy.Then the stability of the system is proved.Finally,the effectiveness of the designed controller is verified by numerical simulation and practical engineering simulation experiments.Then,in view of the shortcomings of the previous research system,the state feedback finite time controller of high-order stochastic nonlinear interconnected system with dead time characteristic is designed by referring to the research idea of high-power system.The dead time characteristic curve is used to deal with the input dead time,and new assumptions are proposed to design the parameters.Combined with the inequality scaling technique,the technique of increasing power integral term is used to solve the problem Discrete state feedback controller is designed for complex stochastic nonlinear systems.Finally,the S-function is built by MATLAB for simulation verification.Finally,the finite time state feedback control problem of high-order stochastic nonlinear system with inverse dynamic term is studied,and the event triggering mechanism is introduced into high-order stochastic nonlinear system.It is proved that there is no Zeno phenomenon under the event triggering mechanism,and the system can achieve finite time stability.The accuracy of the state feedback controller is verified by a two-dimensional simulation.