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1.
不确定Lorenz系统的参数识别与异结构同步   总被引:1,自引:1,他引:0  
设计了一种参数识别器和同步控制器,研究了不确定混沌系统的参数识别与异结构同步问题.根据稳定性原理,确定了参数识别器和同步控制器的结构,以不确定Lorenz混沌系统和Rossler混沌系统为例,验证了其有效性.仿真模拟结果表明,在参数识别器和同步控制器的共同作用下,异结构不确定Lorenz混沌系统和Rossler混沌系统可以达到完全同步,并且不确定Lorenz混沌系统的参数全部可以得到识别.  相似文献   

2.
本文研究了具有时间延迟的异结构不确定网络之间的外同步问题.基于Lyapunov稳定性理论,采用双向耦合自适应方法实现了两个结构互异的复杂网络之间的外同步.并且,网络的拓扑结构以及耦合强度也被同时确定.在数值模拟中,选取Van der Pol系统和Duffing系统作为网络节点进行仿真模拟,验证其理论结果的有效性.  相似文献   

3.
针对参数不确定的广义Lorenz混沌系统,提出一种新的自适应反馈同步方法。利用Lyapunov稳定性理论,设计了参数不确定的广义Lorenz混沌系统的自适应反馈同步控制器,并给出了参数自适应律的解析式。理论上证明了所设计控制器的正确性,并通过Matlab进行仿真实验,成功地实现了系统状态同步和系统不确定参数的辨识。数值仿真结果验证了所提出方法的可行性和有效性。该方法同步建立时间短,同步精度高,对系统初值没有特殊要求。  相似文献   

4.
采用分数阶T-S模糊模型对分数阶Rossler混沌系统建模.使用并行分布式补偿方法设计模糊状态反馈控制器,使得闭环系统极点位于稳定区域内,从而保证闭环系统满足渐近稳定性条件.利用所设计的模糊状态反馈同步控制器实现了两个具有不同初始条件的分数阶Rossler混沌系统的同步.数值仿真结果表明该方案的有效性.  相似文献   

5.
本文针对参数已知和未知的分数阶Chen混沌系统,研究其同步控制问题。利用分数阶系统稳定性理论,设计并实现了系统的反馈控制器;同时运用Multisim软件设计实现了分数阶系统同步的混沌电路,验证了所提出同步方法的有效性和可实现性。  相似文献   

6.
本文利用模糊逻辑连续滑模控制方法,研究了非线性Willis混沌系统的受控问题。设计基于模糊逻辑的模糊控制器,通过隶属函数将滑模面切换函数模糊化,再采用质心法解模糊控制器的输出。用此方法使系统输出跟踪一个给定的状态目标,最终使跟踪误差趋于零,仿真结果验证了方案的有效性。  相似文献   

7.
在模糊滑模变结构控制基础上,研究具有不确定性Duffing混沌系统的同步控制问题。选择合适的滑模面,基于Lyapunov稳定性理论设计模糊滑模变结构控制器及自适应更新规则,从理论上证明控制系统的稳定性。由于控制器的设计是基于自适应模糊滑模变结构控制的,与常规方法相比,控制器滑动模态不受干扰的影响,有较好的鲁棒性和快速跟踪能力。通过数值仿真实验验证了该系统的有效性。  相似文献   

8.
针对一类不确定混沌系统,运用自适应滑模变结构控制方法,设计了相应的控制器和自适应律,实现了混沌系统的主从同步控制.通过构造Lyapunov函数在理论上证明了该同步方法的有效性,并且在不确定项上界未知的情况下,对系统未建模部分和噪声干扰具有很强的鲁棒性.最后以Duffing-Holmes系统为例,进行了混沌同步仿真,仿真结果表明该方法的有效性.  相似文献   

9.
参数未知的永磁同步电机混沌系统模糊自适应同步控制   总被引:1,自引:0,他引:1  
提出了一种参数未知的永磁同步电机(PMSM)系统的模糊自适应同步控制方法.首先通过放射变换和时间尺度变换,将转子磁场定向坐标系下的PMSM模型,变换成无量纲模型.其次通过分析其相图和Lyapunov指数谱,阐述了PMSM的混沌动态行为.接着,在假设PMSM系统参数未知并将PMSM混沌模型及其响应系统模型表示成T-S模糊模型的基础上,利用Lyapunov稳定性理论和自适应控制策略设计了响应系统,并导出了自适应控制律来估计驱动系统参数.此外,设计了响应系统的模糊控制器,对PMSM系统及其响应系统进行同步控制,并证明了同步误差动态是渐近稳定的.最后,仿真结果验证了该方法的有效性.  相似文献   

10.
谢英慧  张化光 《控制与决策》2007,22(9):1058-1060
针对一类具有时滞的部分参数未知的Liao混沌神经元系统,研究不同结构时滞Liao混沌神经元系统的自适应同步问题.基于Lyapunov稳定理论,给出了自适应控制器的设计方法及参数自适应律的解析表达式.所设计的控制器实用有效,易于实现,能够使具有时滞的两个不同结构的Liao混沌神经元系统渐近同步.仿真示例验证了该方法的有效性.  相似文献   

11.
This paper investigates the synchronization problem for a class of uncertain chaotic systems. Only partial information of the system states is known. An adaptive sliding mode observer‐based slave system is designed to synchronize a given chaotic master system with unknown parameters and external disturbances. Based on the Lyapunov stability theorem, the global synchronization between the master and slave systems is ensured. Furthermore, the structure of the slave system is simple and the proposed adaptive sliding mode observer‐based synchronization scheme can be implemented without requiring a priori knowledge of upper bounds on the norm of the uncertainties and external disturbances. Simulation results demonstrate the effectiveness and robustness of the proposed scheme. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society  相似文献   

12.
In this paper, a modified generalized function projective synchronization scheme for a class of master–slave chaotic systems subject to dynamic disturbances and input nonlinearities (dead-zone and sector nonlinearities) is investigated. This synchronization system can be seen as a generalization of many existing projective synchronization schemes (namely the function projective synchronization, the modified projective synchronization and so on), in the sense that the master system has a scaling function matrix and the slave system has a scaling factor matrix. To practically achieve this generalized function synchronization, an adaptive fuzzy variable-structure control system is designed. The fuzzy systems are used to appropriately approximate the uncertain nonlinear functions. A Lyapunov approach is employed to prove the boundedness of all signals of the closed-loop control system as well as the exponential convergence of the synchronization errors to an adjustable region. Simulations results are presented to illustrate the effectiveness of the proposed generalized function PS scheme.  相似文献   

13.
This paper proposes a new state‐feedback stabilization control technique for a class of uncertain chaotic systems with Lipschitz nonlinearity conditions. Based on Lyapunov stabilization theory and the linear matrix inequality (LMI) scheme, a new sufficient condition formulated in the form of LMIs is created for the chaos synchronization of chaotic systems with parametric uncertainties and external disturbances on the slave system. Using Barbalat's lemma, the suggested approach guarantees that the slave system synchronizes to the master system at an asymptotical convergence rate. Meanwhile, a criterion to find the proper feedback gain vector F is also provided. A new continuous‐bounded nonlinear function is introduced to cope with the disturbances and uncertainties and obtain a desired control performance, i.e. small steady‐state error and fast settling time. Several criteria are derived to guarantee the asymptotic and robust stability of the uncertain master–slave systems. Furthermore, the proposed controller is independent of the order of the system's model. Numerical simulation results are displayed with an expected satisfactory performance compared to the available methods.  相似文献   

14.
In this paper, synchronization of chaotic systems with unknown parameters and unmeasured states is investigated. Two nonidentical chaotic systems in the framework of a master and a slave are considered for synchronization. It is assumed that both systems have uncertain dynamics, and states of the slave system are not measured. To tackle this challenging synchronization problem, a novel neural network-based adaptive observer and an adaptive controller have been designed. Moreover, a neural network is utilized to approximate the unknown dynamics of the slave system. The proposed method imposes neither restrictive assumption nor constraint on the dynamics of the systems. Furthermore, the stability of the entire closed-loop system in the presence of the observer dynamics has been established. Finally, effectiveness of the proposed scheme is demonstrated via computer simulation.  相似文献   

15.
In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos control and synchronization to the nonlinear uncertain chaotic systems. A new sort of dynamical sliding mode surface with both integral and differential operators is introduced to divert the discontinuous sign function switch term into the first derivative of the control input; hence a chatter free control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory and SMC technique, stability analysis is performed and a theorem serving as designing the chatter free sliding mode control input is also proposed. In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed. In order to show the advantage of eliminating chatter in control input of our method, we give the simulation results performed by traditional SMC and the method proposed recently. Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization.  相似文献   

16.
This paper addresses the problem of chaos synchronization from a control theoretic point of view. The main idea is to construct an augmented dynamical system from the synchronization error system, which is itself uncertain. A new dynamic output feedback is applied to perform synchronization in spite of master/slave mismatches. In this way, the nonidentical chaotic synchronization can be attained. The advantage of this method over the existing results is that the feedback controller has a predictable synchronization delay. The synchronization time is explicitly computed. Computer simulations are provided to verify the operation of the designed synchronization algorithm.  相似文献   

17.
《国际计算机数学杂志》2012,89(6):1255-1280
This paper investigates the synchronization of coupled chaotic systems with many equilibrium points. By addition of an external switching piecewise-constant controller, the system changes to a new one with several independent chaotic attractors in the state space. Then, by addition of a nonlinear state feedback control, the chaos synchronization is presented. This method can be used in many couples of chaotic systems characterized by the same equilibrium point or by two different equilibrium points, even they are the same systems (Lorenz, Jerk, Van der Pol) or two chaotic systems with different structures (Lorenz modified).  相似文献   

18.
An adaptive synchronization of uncertain chaotic system is presented using partition of unity method. First, the uncertainties of chaotic systems are approximate by the linear combination of partition of unity. Subsequently, the sliding mode adaptive controllers are proposed for synchronization of the uncertain chaotic systems. The proposed approach offers a systematic design procedure for adaptive synchronization of a class of uncertain chaotic system in the chaos research literature. We also illustrate examples of chaotic systems such as Chen and Lorenz chaotic systems to show the effectiveness of the approach.  相似文献   

19.
在受迫Van der Pol振动系统的近似解的基础上,获得驱动系统的虚拟轨线.将虚拟轨线代入驱动-响应振动系统的近似误差方程,再用多尺度法求得同步时间关于反馈增益的分析表达式,并且将数值与分析结果进行比较表明:用该方法求得的同步时间与反馈增益的关系和数值模拟结果相当一致.这方法也适用于研究自激Van der Pol振动系统.  相似文献   

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