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针对异结构不同维分数阶混沌系统的广义同步问题进行研究, 设计了一种将滑模变结构理论和自适应控制理论相结合的方法.通过设计一种对外界干扰具有强鲁棒性的分数阶滑模面, 以及构造合适的自适应滑模控制器, 该控制器将系统的运动控制到滑模面上, 使系统轨道沿滑动模运动到所需的控制状态, 最终实现了两个不同维异结构混沌系统之间的广义同步.以四维超混沌Chen系统和三维Chen混沌系统为例, 对这两个系统分别进行升维和降维的同步仿真. 仿真模拟结果表明, 运用本文设计的控制器, 经过短暂的时间, 两系统的广义误差变量始终平稳地趋于零, 即证明了这种控制器的有效性.
关键词:
分数阶混沌系统
异结构
自适应滑模控制
混沌同步 相似文献
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混沌系统的一般变结构控制方法存在高频抖振和需要事先已知系统不确定项的上界等不足,针对这些不足,以一类不确定时变混沌系统为例,提出了自适应无抖振变结构控制(ACFVSC)方法,以控制混沌系统到任意设定轨道.该方法不仅能消除滑模面附近的抖振现象,实现渐近跟踪,而且不需要“不确定项的上界已知”的先验知识.ACFVSC的渐近跟踪分析与仿真结果都表明,只要选择合适的控制器参数,就能在有限时间内达到任意的设定跟踪精度.
关键词:
不确定时变混沌系统
变结构控制
无抖振 相似文献
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针对冠状动脉系统混沌同步问题, 系统模型受到有界但未知的不确定干扰条件下, 利用几何齐次性理论和积分滑模面设计高阶滑模自适应控制器, 使响应系统在有限时间内跟踪驱动系统, 该方法无需提前预知扰动边界. 采用Lyapunov理论对闭环系统进行分析并证明该控制器保证该系统能够在有限时间内镇定, 从仿真实验结果可以看出所设计的控制器在不确定干扰的情况下系统具有良好鲁棒性和未知参数的自适应性, 为能够有效治疗心肌梗死等冠状动脉疾病提供了一定的理论依据. 相似文献
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以直驱式永磁同步风力发电机(D-PMSG)作为研究对象,推导了其数学模型,论证了在某些参数及工作条件下会出现混沌运动,提出了D-PMSG混沌运动的滑模变结构控制方法,通过控制桨距角β来实现.针对风力机系统的非线性,参数变化等特性,根据风力机机理,基于一定假设得到风力机在某一工况点线性模型,进而提出滑模变结构控制方案,充分利用变结构控制对被控对象的模型误差、对象参数的变化以及外部干扰有极佳的不敏感性的优点.仿真结果表明所提出控制方案的有效性,控制响应速度快,控制鲁棒性好,能适用于系统具有不确定
关键词:
风力发电
直驱式永磁同步风力发电机组(D-PMSG)
混沌控制
滑模变结构控制 相似文献
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通过分析无反馈周期拍方法控制耗散系统的动力学特性,找出了控制耗散系统混沌轨道的必要条件,并且对周期拍方法进行推广,在加上作为微扰的反馈项后,实现对2维Hamiltonian系统混沌轨道的控制.对于标准映象,系统的整体混沌轨道被稳定在目标周期轨道上,并且在有较弱外噪声的情况下具有鲁棒性.在3维连续流的情况下,与局限于Poincar e-截面的脉冲控制方法进行比较,确定了两种控制方法各自的适用范围,结论是,为了稳定控制保守系统的混沌轨道,外加控制项必为耗散的.
关键词:
混沌控制
保守系统 相似文献
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针对一类含有不确定参数的时变时滞系统的同步控制问题,提出了一种滑模自适应鲁棒控制方法.基于Lyapunov稳定性理论和滑模自适应控制方法,设计出滑模自适应鲁棒控制器和参数自适应率.所设计的单一控制器适用于一类分数阶超混沌系统的同步性控制问题,它不仅具有较强的抗噪声能力而且对于时变时滞系统也具有良好的控制能力,因此该控制器具有较好的实用价值.此外,通过在系统的输入量中引入一个补偿量,用以消除系统中所存在的不确定性和外界扰动的影响,从而实现不确定性分数阶超混沌系统的同步,并且将系统的同步误差控制在任意小范围内.最后,对带有外界噪声扰动、系统参数不确定的时变时滞Chen分数阶超混沌系统进行了数值仿真,经过短暂的时间,响应系统与驱动系统同步,进而验证了所提出的控制方法的有效性. 相似文献
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Synchronization of uncertain fractional-order chaotic systems with disturbance based on a fractional terminal sliding mode controller
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This paper provides a novel method to synchronize uncertain fractional-order chaotic systems with external disturbance via fractional terminal sliding mode control. Based on Lyapunov stability theory, a new fractional-order switching manifold is proposed, and in order to ensure the occurrence of sliding motion in finite time, a corresponding sliding mode control law is designed. The proposed control scheme is applied to synchronize the fractional-order Lorenz chaotic system and fractional-order Chen chaotic system with uncertainty and external disturbance parameters. The simulation results show the applicability and efficiency of the proposed scheme. 相似文献
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Eun-Ju Hwang 《Physics letters. A》2009,373(22):1935-1939
This Letter presents fuzzy model-based robust tracking control for the adaptive synchronization of uncertain chaotic systems. Fuzzy model and adaptive algorithm are employed to present the unknown chaotic systems. H∞ and sliding mode control are combined to construct a robust tracking controller. The incorporated H∞ controller can attenuate the external disturbance and approximation error to any prescribed level. The proposed scheme guarantees that all the variables are bounded and the tracking error is compensated. 相似文献
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提出了一种基于在线误差修正自适应SVR的滑模控制方法, 用于解决一类非线性不确定分数阶混沌系统的控制问题. 分别通过对混沌系统非线性函数的离线SVR估计和基于增量学习的状态跟踪误差在线SVR预测, 解决了不确定分数阶混沌系统模型难以预测的问题. 同时根据Lyapunov稳定性理论设计出SVR权值自适应调整律. 本文以分数阶Arneodo 系统为例进行仿真, 仿真结果表明了, 对于带有外界噪声扰动的非线性不确定分数阶混沌系统, 该方法可以在有限时间内将系统稳定至期望状态, 提高对非线性函数的预测精度, 改善控制性能. 相似文献
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We propose a new sliding mode control scheme for a class of uncertain time-delay chaotic systems. It is shown that a linear time invariant system with the desired system dynamics is used as a reference model for the output of a time-delay chaotic system to track. A sliding mode controller is then designed to drive the output of the time-delay chaotic system to track the desired linear system. On the sliding mode, the output of the controlled time-delay chaotic system can behave like the desired linear system. A simulation example is given in support of the proposed control scheme. 相似文献
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A no-chattering sliding mode control strategy for a class of fractional-order chaotic systems is proposed in this paper. First, the sliding mode control law is derived to stabilize the states of the commensurate fractional-order chaotic system and the non-commensurate fractional-order chaotic system, respectively. The designed control scheme guarantees the asymptotical stability of an uncertain fractional-order chaotic system. Simulation results are given for several fractional-order chaotic examples to illustrate the effectiveness of the proposed scheme. 相似文献
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《Chinese Journal of Physics (Taipei)》2018,56(5):2488-2499
Chaotic oscillation in the power system often poses a great threat to the stability of the power grid, and the dynamic behaviors of fourth-order power system with power disturbance, which is more in line with the actual situation, are investigated firstly through Lyapunov exponent spectrums and bifurcation diagrams. It is found that the power system with power disturbance has more complex dynamic behaviors and larger domains of chaos. The disturbance terms also result in dynamic behaviors different from those of power system without disturbance, which sometimes brings system motions to period orbits with perturbation-related parameters limited in specific range. Moreover, a dynamic surface sliding mode controller with low pass filter is designed for chaotic suppression, and the relay characteristic function is selected as switching function to inhibit high-frequency chattering. Numerical simulations show that the sliding mode controller owns good effectiveness and strong robustness. 相似文献
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《理论物理通讯》2017,(12)
In this paper, a simplest fractional-order delayed memristive chaotic system is proposed in order to control the chaos behaviors via sliding mode control strategy. Firstly, we design a sliding mode control strategy for the fractionalorder system with time delay to make the states of the system asymptotically stable. Then, we obtain theoretical analysis results of the control method using Lyapunov stability theorem which guarantees the asymptotic stability of the noncommensurate order and commensurate order system with and without uncertainty and an external disturbance. Finally,numerical simulations are given to verify that the proposed sliding mode control method can eliminate chaos and stabilize the fractional-order delayed memristive system in a finite time. 相似文献
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In this paper, we have studied the hybrid projective synchronisation for incommensurate, integer and commensurate fractional-order financial systems with unknown disturbance. To tackle the problem of unknown bounded disturbance, fractional-order disturbance observer is designed to approximate the unknown disturbance. Further, we have introduced simple sliding mode surface and designed adaptive sliding mode controllers incorporating with the designed fractional-order disturbance observer to achieve a bounded hybrid projective synchronisation between two identical fractional-order financial model with different initial conditions. It is shown that the slave system with disturbance can be synchronised with the projection of the master system generated through state transformation. Simulation results are presented to ensure the validity and effectiveness of the proposed sliding mode control scheme in the presence of external bounded unknown disturbance. Also, synchronisation error for commensurate, integer and incommensurate fractional-order financial systems is studied in numerical simulation. 相似文献