Research On Adaptive Compensation Control Methods And Circuit Designs For Uncertain Chua's Circuit Systems

Chua's circuit is a typical nonlinear circuit,which is full of uncertainties and can produce a wealth of chaotic phenomena.The phenomenon of chaos has received extensive attention since it was proposed,and it has important applications in the fields of information science,life science,economics,and aerospace.Chua's circuit establishes a connection between chaos theory and nonlinear circuits.Although Chua's circuit has a simple structure,it is of great significance to study control strategies to compensate for the uncertainties and synchronize chaos in Chua's circuit.This is conducive to the application of chaotic phenomena in various circuit systems.In addition,the research on the hardware circuit design method of the uncertainty control strategies is also of important value,which is conducive to the application of control theory to the actual nonlinear circuit systems.This thesis takes the Chua's circuit system as the research object,expounds the adaptive compensation control method and the hardware circuit design scheme for dealing with the uncertainties in the system.The research content of the thesis is mainly divided into two parts: first,for a single Chua's circuit system affected by bounded disturbances,a compensation controller is designed based on adaptive technology to eliminate the influence of uncertainties on the system state and to ensure the asymptotic stability of the system.In addition,the hardware circuit implementation scheme of the adaptive compensation controller is given,and the validity of the controller design is verified based on the circuit simulation software named Multisim.Second,in order to reduce the conservatism of the design,a generalized synchronization error model is provided to integrate the characteristics of strong and weak synchronization for the complex network which is coupled by multiple Chua's circuits affected by bounded disturbances.Based on this error model,an adaptive technology is used to construct a pinning constraint controller and a coupling strength adjuster,thereby eliminating the influence of bounded disturbances and realizing bounded synchronization of disturbed Chua's circuit networks.Based on Lyapunov theorem,the correctness of the above-mentioned bounded synchronization result is proved.In addition,the hardware circuit implementation schemes of the pinning constraint control strategy and coupling strength adjustment strategy are given in detail based on the modular design method.Finally,the simulation comparison results based on Matlab and Multisim further verify the effectiveness of the above-mentioned control methods and regulation schemes.