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Comparison between two different sliding mode controllers for a fractional-order unified chaotic system 下载免费PDF全文
Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterpart system, and the fractional-order system can be made asymptotically stable by this controller. By proving the existence of a sliding manifold containing fractional integral, the controller for a fractional-order system is obtained, which can stabilize it. A comparison between these different methods shows that the performance of a sliding mode controller with a fractional integral is more robust than the other for controlling a fractional order unified chaotic system. 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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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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首先,提出了一个新的分数阶混沌系统,通过对系统第二个等式的线性项x作绝对值运算,并分析了其唯一的参数k,该参数在一定区间内取值时可将混沌吸引子由两个翼的结构变换为四翼的拓扑结构,从而实现翼倍增. 其次,分别采用Matlab和Multisim对新的分数阶系统及其翼倍增系统进行了数值模拟和电路仿真,电路仿真结果和数值模拟结果相一致. 最后,基于滑模变结构控制理论和分数阶稳定性定理,为新的分数阶系统及其翼倍增系统设计了新的分数阶积分滑模控制器实现系统的同步,仿真结果和理论分析相一致,证实了所设计滑模控制器的有效性.
关键词:
分数阶
翼倍增
滑模控制
同步 相似文献
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Synchronization between a novel class of fractional-order and integer-order chaotic systems via a sliding mode controller 下载免费PDF全文
<正>In order to figure out the dynamical behaviour of a fractional-order chaotic system and its relation to an integerorder chaotic system,in this paper we investigate the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems via sliding mode control method.Stability analysis is performed for the proposed method based on stability theorems in the fractional calculus.Moreover,three typical examples are carried out to show that the synchronization between fractional-order chaotic systems and integer-orders chaotic systems can be achieved. Our theoretical findings are supported by numerical simulation results.Finally,results from numerical computations and theoretical analysis are demonstrated to be a perfect bridge between fractional-order chaotic systems and integer-order chaotic systems. 相似文献
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Generalized projective synchronization of the fractional-order chaotic system using adaptive fuzzy sliding mode control 下载免费PDF全文
An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractionalorder chaotic system, where the slave system is not necessarily known in advance. Based on the designed adaptive update laws and the linear feedback method, the adaptive fuzzy sliding controllers are proposed via the fuzzy design, and the strength of the designed controllers can be adaptively adjusted according to the external disturbances. Based on the Lyapunov stability theorem, the stability and the robustness of the controlled system are proved theoretically. Numerical simulations further support the theoretical results of the paper and demonstrate the efficiency of the proposed method. Moreover,it is revealed that the proposed method allows us to manipulate arbitrarily the response dynamics of the slave system by adjusting the desired scaling factor λi and the desired translating factor ηi, which may be used in a channel-independent chaotic secure communication. 相似文献
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针对受扰统一混沌系统,提出一种主动白适应模糊积分滑模控制方法.在保持原非线性积分滑模控制暂态性能的同时,设计了一种改进非线性积分滑模控制方法,保证了系统的稳定性.所提出控制方法减小了统一混沌系统的不可控状态和自适应模糊补偿项的逼近精度对系统状态误差的影响.基于Lyapunov稳定性理论分析了系统的稳定性.数值仿真结果表明,在存在参数摄动和外部扰动时,能将统一混沌系统控制到目标点上.数值仿真验证了所提出控制方法的有效性. 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 下载免费PDF全文
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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This paper uses the recently developed novel robust terminal sliding mode control (NRTSMC) and under-actuated system sliding mode control (USSMC) approaches to solve the strong coupling and under-actuated problems of a small quad-rotor unmanned helicopter (QRUH). The two controllers have been widely adopted to act as a single control algorithm in many fields, respectively. However, this paper just displays the useful composite application of the two controllers. The QRUH model can be divided into two subsystems, including a fully actuated subsystem (FAS) and an under-actuated subsystem (UAS). For the FAS, the NRTSMC is used to solve the strong coupling problem, it can guarantee the FAS states converge to the desired equilibrium in a very short time, then the states are treated as time invariants and the UAS gets simplified. For the UAS, the USSMC is utilized to solve the under-actuated problem. The obtained simulation results show the applicability of the composite control when faced with external disturbances. 相似文献
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Mohammad Saleh Tavazoei 《Physica A》2008,387(1):57-70
In this paper, we propose a controller based on active sliding mode theory to synchronize chaotic fractional-order systems in master-slave structure. Master and slave systems may be identical or different. Based on stability theorems in the fractional calculus, analysis of stability is performed for the proposed method. Finally, three numerical simulations (synchronizing fractional-order Lü-Lü systems, synchronizing fractional order Chen-Chen systems and synchronizing fractional-order Lü-Chen systems) are presented to show the effectiveness of the proposed controller. The simulations are implemented using two different numerical methods to solve the fractional differential equations. 相似文献
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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
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本文采用反演自适应动态滑模控制实现耦合FitzHugh-Nagumo (FHN) 神经元混沌同步. 该方法将自适应技术与反演控制方法相结合, 通过设计新型切换函数, 采用动态滑模控制律, 实现了带有不确定参数的耦合FHN神经元混沌放电同步. 研究表明该方法可以有效地削弱系统的抖振, 从而避免破坏神经元的本质特性, 且响应速度快. 仿真结果证明了该控制方法的有效性.
关键词:
自适应
动态滑模控制
FitzHugh-Nagumo神经元
混沌同步 相似文献
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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
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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