Research On The Control System Of Oil Extraction Joint Station Based On PLC

The passivity concept of nonlinear systems has caused a new upsurge in nonlinear system control.Passive theory is often used to analyze the stability of integer-order nonlinear systems.Due to its broad application development prospects,it has quickly become the focus of research and discussion of the majority scholars.Chaos control and chaos synchronization are the keys to apply chaos to some actual industries,and they are the key points in the study of chaos.The rise of modern fractional calculus theory has broadened the depth and breadth of chaos control and synchronization research.The chaos control and synchronization have relatively mature theories in the past research,Therefore,the control of fractional order chaotic system,the synchronization of integer order chaotic system and fractional order chaotic system have become the most advanced academic hotspot in the 21 st century.This paper mainly studies the control of fractional-order chaotic systems,the synchronization of integer-order chaotic systems and fractional-order chaotic systems,the hybrid synchronization of integer order hyperchaotic system and fractional order hyperchaotic system and its application in secure communication.The main contents and results are as follows:Firstly,an improved differential transformation method is applied for fractional Lorenz chaotic system to obtain its solution sequence.Then,the Lyapunov equation method is utilized to control the stability of the fractional-order chaotic system to its equilibrium.The effectiveness of the control method is verified by theoretical analysis and numerical simulation.The passive control method has been used in the integer-order chaotic systems and extended to the fractional-order chaotic systems.Based on the passive control,an adaptive control method is added to realize the control of the fractional-order chaotic system and the identification of unknown parameters.Numerical simulations verify the feasibility of the control method.Secondly,by designing a suitable compensator through the idea of tracking control and using the adaptive control method,the synchronization problems of integer-order chaotic systems and fractional-order chaotic systems under different initial conditions are studied.A suitable adaptive controller is designed and a parameter adaptive law is found to make the drive system and the response system synchronize gradually,and the synchronization error tends to zero: thus realizing the synchronization of the fractional-order chaotic system.Based on the stability theorem of fractional systems,according to the passive system theory,the compensator and passive controller are designed to guarantee that the synchronous error system eventually tends to zero,so that the drive system and the response system can reach the state of synchronization.The structure of the passive controller is simple,the control cost is saved to a great extent,the synchronization effect and the working efficiency are greatly improved,and the time is reduced.Numerical simulation results verify the effectiveness of the controller.Finally,,with the case of unknown system parameters.Using passive control theory to achieve the synchronization of integer-order chaotic systems and fractional-order chaotic systems,it is applied in secure communication.Finally,the numerical simulation verifies the effectiveness of the scheme.