Research On Finite Time Control Technology Of Temperature System In Continuous Stirred Tank

Continuous stirred reactor is widely used in the field of chemical process,and its temperature control accuracy is the key to the temperature control of continuous stirred reactor.Because there are uncertain interference factors in the reaction kettle in chemical production,its dynamic model has obvious time-varying and nonlinear characteristics,and the temperature control in the reactor is prone to be unstable,which increases the difficulty of accurate temperature control.Therefore,it is necessary to use some precision instruments and suitable temperature control methods for the reaction kettle.Although the traditional control method is simple and easy to operate,it is difficult to accurately control the temperature of the reaction kettle,which requires a better control method.According to the finite time control theory,a temperature state feedback controller which meets the expected performance requirements and has certain robustness is designed for the continuous stirred tank reactor commonly used in chemical industry.Specifically complete the following work:(1)The nonlinear reactor temperature system with external disturbance is studied,and its finite-time bounded tracking problem is discussed through the finite-time boundedness of the constructed new system,and the sufficient conditions for the finitetime bounded tracking of this kind of nonlinear reactor temperature system with external disturbance are obtained,which can effectively judge the operation of the system state in a limited time period.It is verified by numerical simulation of the case.(2)A generalized binary Lipschitz condition is proposed,through which the state variables and disturbance variables in nonlinear terms can be separated,so that the system can be analyzed better.By using the generalized binary Lipschitz condition,the finite-time stability of state feedback and output tracking of nonlinear reactor temperature system is discussed,and the sufficient conditions for stabilization and tracking of nonlinear reactor temperature system are obtained.In fact,the system that these conditions can handle also covers many other common forms.In addition,under normal circumstances,this paper also gives this set of sufficient conditions in the form of matrix inequality(LMI).Finally,through the numerical simulation of a case,it can be seen that the conclusion obtained by using the generalized binary Lipschitz condition to deal with the nonlinear term of the system is effective.