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 共查询到20条相似文献,搜索用时 31 毫秒
1.
刘云峰  杨小冈  缪栋  袁润平 《物理学报》2007,56(11):6250-6257
提出了混沌同步有限时间实现问题.应用全程滑模控制技术,选择指数型终端滑模趋近律来设计滑模控制器,以实现一类混沌系统的状态同步.该设计方案针对混沌系统的参数不确定性和外界扰动,引入模糊基函数网络,在线估计不确定性和外部扰动的界值.同时该方案消除了滑模控制的到达阶段,状态始终保持在滑模面上,并能在有限时间内趋近于原点.最后以Duffing系统为例研究验证同步策略的可行性和有效性.  相似文献   

2.
陈帝伊  刘玉晓  马孝义  张润凡 《中国物理 B》2011,20(12):120506-120506
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   

3.
冠状动脉系统高阶滑模自适应混沌同步设计   总被引:1,自引:0,他引:1       下载免费PDF全文
赵占山  张静  丁刚  张大坤 《物理学报》2015,64(21):210508-210508
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   

4.
This paper deals with the design of a novel nonsingular terminal sliding mode controller for finite-time synchronization of two different chaotic systems with fully unknown parameters and nonlinear inputs.We propose a novel nonsingular terminal sliding surface and prove its finite-time convergence to zero.We assume that both the master’s and the slave’s system parameters are unknown in advance.Proper adaptation laws are derived to tackle the unknown parameters.An adaptive sliding mode control law is designed to ensure the existence of the sliding mode in finite time.We prove that both reaching and sliding mode phases are stable in finite time.An estimation of convergence time is given.Two illustrative examples show the effectiveness and usefulness of the proposed technique.It is worthwhile noticing that the introduced nonsingular terminal sliding mode can be applied to a wide variety of nonlinear control problems.  相似文献   

5.
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   

6.
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   

7.
陆见光  唐卷  秦小林  冯勇 《物理学报》2016,65(11):110501-110501
混沌系统的跟踪控制是近年来非线性控制领域研究的热点之一. 本文提出了一种基于快速下降控制方法的保群算法, 此方法使受控混沌系统能够快速稳定到相空间的一个不动点; 另外提出一种基于滑模控制方法的保群算法, 此方法使受控混沌系统能够快速跟踪一个确定的运动轨迹. 应用这两种新方法分别对两个经典的混沌系统(Lorenz系统和Duffing系统)进行了相应的数值实验, 实验结果表明这两种方法都具用较高的精度和稳定性.  相似文献   

8.
一种新颖的滑模非线性比例积分控制方法(SMNPIC)被提出用于高精度驱动一类时变不确定混沌系统到任意期望轨道。SMNPIC区别于以前的滑模控制技术之处在于滑动模的一个非线性比例积分函数被包含在控制率中,因此不仅稳态误差和高频抖振都被减小,同时鲁棒性和快速性也能被保证。此外,SMNPIC实际上能被作为一类非线性PID控制器,不仅仅跟踪误差及其直到n-1阶微分被考虑,而且跟踪误差的积分也被考虑,因此有比传统PID更多的有用信息能被使用,因此更好的动静态特性能被获得。通过不确定Duffing-Holmes系统的仿真实例证实了SMNPIC用于混沌控制能获得好的性能。  相似文献   

9.
曹鹤飞  张若洵 《物理学报》2011,60(5):50510-050510
基于滑模控制理论和自适应控制理论,研究了分数阶混沌系统的同步问题.设计了新的分数阶积分滑模面,并提出了用单一自适应控制器实现一类三维分数阶混沌系统同步的方法.数值模拟证实了所提方法的有效性. 关键词: 滑模控制 分数阶混沌系统 单一控制器 自适应同步  相似文献   

10.
沈启坤  张天平  孙妍 《物理学报》2007,56(11):6263-6269
研究了一类具有死区饱和输入的不确定时滞混沌系统的跟踪问题.基于滑模控制原理,提出了一种自适应控制的新方案.该方法不仅克服了已有结果的设计缺陷,还取消了死区斜率已知和死区对称的假设,并从理论上分析证明了跟踪误差渐近收敛到零.最后,Duffing-Holme系统的仿真结果表明了该方案的有效性.  相似文献   

11.
针对一类非线性不确定系统的滑模控制,结合有限时间收敛理论、高阶积分滑模理论与自适应控制理论,提出了一种高阶积分自适应滑模控制方法,改善了传统积分滑模存在的抖振问题。该方法通过对有限时间收敛反馈量的选取和高阶积分滑模面的设计,不但确保了系统状态误差在有限时间内的收敛性,而且还保证了系统具备对不确定性干扰的抑制能力。同时,采用自适应方法估计滑模控制的趋近速率,使得无须已知不确定项的边界范围。仿真结果验证了所提方法的有效性。  相似文献   

12.
The gyro is one of the most interesting and everlasting nonlinear dynamical systems,which displays very rich and complex dynamics,such as sub-harmonic and chaotic behaviors.We study the chaos suppression of the chaotic gyros in a given finite time.Considering the effects of model uncertainties,external disturbances,and fully unknown parameters,we design a robust adaptive finite-time controller to suppress the chaotic vibration of the uncertain gyro as quickly as possible.Using the finite-time control technique,we give the exact value of the chaos suppression time.A mathematical theorem is presented to prove the finite-time stability of the proposed scheme.The numerical simulation shows the efficiency and usefulness of the proposed finite-time chaos suppression strategy.  相似文献   

13.
一种分数阶混沌系统同步的自适应滑模控制器设计   总被引:3,自引:0,他引:3       下载免费PDF全文
潘光  魏静 《物理学报》2015,64(4):40505-040505
针对分数阶混沌系统的同步问题, 基于滑模控制理论和自适应控制理论, 设计了一个具有较强鲁棒性的分数阶积分滑模面, 并提出了一种自适应滑模控制器在不消除非线性项的情况下实现一类三维分数阶混沌系统同步的方法. 利用所设计的自适应滑膜控制器实现了分数阶Chen系统、分数阶Liu系统以及分数阶Arneodo系统的混沌同步. 数值模拟仿真结果验证了所设计的控制器的有效性和可行性.  相似文献   

14.
This paper presents a new method to synchronize different chaotic systems with disturbances via an active radial basis function (RBF) sliding controller. This method incorporates the advantages of active control, neural network and sliding mode control. The main part of the controller is given based on the output of the RBF neural networks and the weights of these single layer networks are tuned on-line based on the sliding mode reaching law. Only several radial basis functions are required for this controller which takes the sliding mode variable as the only input. The proposed controller can make the synchronization error converge to zero quickly and can overcome external disturbances. Analysis of the stability for the controller is carried out based on the Lyapunov stability theorem. Finally, five examples are given to illustrate the robustness and effectiveness of the proposed synchronization control strategy.  相似文献   

15.
A novel adaptive observer-based control scheme is presented for synchronization and suppression of a class of uncertain chaotic system. First, an adaptive observer based on an orthogonal neural network is designed. Subsequently, the sliding mode controllers via the proposed adaptive observer are proposed for synchronization and suppression of the uncertain chaotic systems. Theoretical analysis and numerical simulation show the effectiveness of the proposed scheme.  相似文献   

16.
Sara Dadras 《Physica A》2010,389(12):2434-2442
This paper deals with designing a sliding mode controller (SMC) for a fractional-order chaotic financial system. Using the sliding mode control technique, a sliding surface is determined. The sliding mode control law is derived to make the states of the fractional-order financial system asymptotically stable. The designed control scheme is robust against the system’s uncertainty and guarantees the property of asymptotical stability in the presence of an external disturbance. An illustrative simulation result is given to demonstrate the effectiveness of the proposed sliding mode control design.  相似文献   

17.
Wenguang Yu 《Physics letters. A》2010,374(30):3021-4235
This Letter investigates the stabilization of three-dimensional chaotic systems in a finite time. Based on the finite-time stability theory, a control law is proposed to realize finite-time chaos stabilization of three-dimensional chaotic systems. Several illustrative examples with numerical simulations are studied by using the results obtained in this Letter. Study of examples shows that our control methods work very well in stabilizing a class of chaotic systems in a finite time.  相似文献   

18.
牛玉军  王兴元  裴炳南 《中国物理 B》2012,21(3):30503-030503
We investigate the projective synchronization of different chaotic systems with nonlinearity inputs. Based on the adaptive technique, sliding mode control method and pole assignment technique, a novel adaptive projective synchronization scheme is proposed to ensure the drive system and the response system with nonlinearity inputs can be rapidly synchronized up to the given scaling factor.  相似文献   

19.
We investigate the projective synchronization of different chaotic systems with nonlinearity inputs.Based on the adaptive technique,sliding mode control method and pole assignment technique,a novel adaptive projective synchronization scheme is proposed to ensure the drive system and the response system with nonlinearity inputs can be rapidly synchronized up to the given scaling factor.  相似文献   

20.
电力系统混沌振荡的等效快速终端模糊滑模控制   总被引:4,自引:0,他引:4       下载免费PDF全文
倪骏康  刘崇新  庞霞 《物理学报》2013,62(19):190507-190507
电力系统混沌振荡被认为是大型互联电力系统停电事故的主要原因, 本文通过相图、 李雅普诺夫指数图和时域波形图分析了二阶电力系统混沌振荡的动力学行为, 并提出了等效快速终端模糊滑模控制来抑制电力系统混沌振荡, 使其恢复到同步运行状态. 仿真结果表明, 所提出的控制方案不仅具有较快的收敛速度, 而且能够柔化控制信号, 减少控制能量, 并且能有效地降低抖振. 关键词: 电力系统混沌振荡 等效滑模控制 模糊滑模控制 快速终端滑模控制  相似文献   

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