| Semiconductor laser is an important component of modern electronic circuit.The chaotic signals generated in the process of operation have unique security properties,which make it widely used in the fields of secure communication and optical fiber transmission.Chaotic synchronization of semiconductor lasers has become a hot research topic in recent years.However,due to the influence of many factors,the research on chaotic synchronization of semiconductor laser is mainly focused on the experiment,and its research results have some limitations and case.The research and analysis of chaos synchronization control theory of semiconductor laser is still a very weak.Therefore,it is of great theoretical significance and practical value to find a chaotic synchronization strategy for semiconductor lasers,which is easy to implement and robust.The research of this paper can perfect the chaos theory and control method of semiconductor lasers,which also enrich and complete the mathematical synchronization theory.It also provides theoretical basis and technical reference for promoting the widespread application of semiconductor lasers in chaotic secure communication and chaotic secure network.In this paper,different methods of chaotic signal generation in semiconductor lasers are analyzed,and the chaos synchronization theory of three kinds of semiconductor lasers based on optical feedback,optical injection and optoelectronic feedback is discussed.Therefore,we adopt different classical theory of chaos synchronization theory,which is easy to be realized in practice,to solve each kind of chaos generated form semiconductor laser.We present sufficient conditions corresponding to each method of synchronization.The main research works are as follows:Firstly,the chaotic signals generated by three kinds of semiconductor lasers,such as optical feedback,optical injection and optoelectronic feedback are analyzed comprehensively.This is in order to contrast with the research methods,which using in the semiconductor laser classic book "Semiconductor Lasers: Stability,Instability and Chaos".Secondly,the study for chaos synchronization of optical feedback semiconductor laser is mainly as follows:(1)The impulsive synchronization of optical feedback semiconductor lasers with time delay are studied via LMI(linear matrix)method.(2)Proposing fuzzy synchronization strategy via LMI method.And according to the difference of the fuzzy rules,the corresponding synchronization strategies were given.(3)Combining impulsive method and fuzzy method,an impulsive fuzzy strategy which is corresponding to optical feedback semiconductor laser is proposed.The sufficient conditions for asymptotic stability and exponential stability are given respectively by using this strategy.(4)Intermittent control strategy for optical feedback semiconductor laser is also studied.(5)Combining intermittent control method and adaptive method to study the adaptive criterion of nonlinear part and establish sufficient conditions of stability.(6)Combining intermittent control method and fuzzy method,a fuzzy intermittent strategy of synchronization for optical feedback semiconductor laser is proposed.(7)We do numerical simulations for all the synchronization methods to verify the effectiveness of the strategy of synchronization.Thirdly,the study for chaos synchronization of optical injection semiconductor laser is mainly as follows:(1)We discuss the pulse synchronization strategy of optical injection semiconductor laser.And get the sufficient conditions for stability of the system with stability theory.(2)Combining adaptive method and impulsive method,the adaptive impulsive synchronization strategy for optical injection semiconductor laser is proposed.We can get the sufficient conditions for asymptotic stability and exponential stability of the system by using this strategy.(3)Intermittent control strategy for optical injection semiconductor laser is also studied.(4)Combining intermittent control method and adaptive method to propose adaptive intermittent criterion for optical injection semiconductor laser.(5)We do numerical simulations for all the synchronization methods to verify the effectiveness of the strategy of synchronization.Lastly,the study for chaos synchronization of optoelectronic feedback semiconductor is mainly as follows:(1)We studied the problem of chaos impulsive synchronization of optoelectronic feedback semiconductor lasers,and get the sufficient conditions of stability with the classical Lyapunov method.(2)We present the fuzzy synchronization strategy,which is based on LMI,and establish sufficient conditions which make the system tend to asymptotic stability.(3)We propose impulsive fuzzy strategy,which combines impulsive method and fuzzy method,to study synchronization of optoelectronic feedback semiconductor laser.Then,the sufficient conditions for asymptotic stability and exponential stability are given respectively.(4)Intermittent control strategy for optoelectronic feedback semiconductor laser is also studied.And we put forward synchronization scheme based on Lyapunov function.(5)Combining intermittent control method and adaptive method to study the adaptive criterion of nonlinear part and establish sufficient conditions of stability.(6)We do numerical simulations for all the synchronization methods to verify the effectiveness of the strategy of synchronization.In summarize,we use the impulsive theory,fuzzy theory and intermittent control method to the chaos synchronization of semiconductor laser.Combing with the impulsive differential equation,delay differential equation,fuzzy equation,fuzzy delay equation and Lyapunov stability theory,we studied the stability of chaos synchronization of the three kinds of semiconductor lasers,and illustrated the effectiveness of the synchronization strategy with numerical simulations. |
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