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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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In this paper, the synchronization in a unified fractional-order
chaotic system is investigated by two methods. One is the
frequency-domain method that is analysed by using the Laplace
transform theory. The other is the time-domain method that is
analysed by using the Lyapunov stability theory. Finally, the
numerical simulations are used to illustrate the effectiveness
of the proposed synchronization methods. 相似文献
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基于波特图的频域近似方法,研究了分数阶Liu混沌系统,并设计了一种树形电路单元来实现分数阶Liu混沌系统,通过对2.7阶Liu混沌系统的电路仿真和实验,以及α=0.8—0.1(步长0.1)Liu混沌系统的电路仿真,验证了树形电路单元的有效性,证实分数阶Liu混沌系统中确实存在混沌现象,且存在混沌的最低阶数为0.3. 设计简单有效的线性反馈控制器,实现了分数阶Liu混沌系统的混沌控制.
关键词:
分数阶Liu系统
电路实验
混沌控制 相似文献
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This paper introduces a new four-dimensional (4D) hyperchaotic system, which has only two quadratic nonlinearity parameters but with a complex topological structure. Some complicated dynamical properties are then investigated in detail by using bifurcations, Poincare mapping, LE spectra. Furthermore, a simple fourth-order electronic circuit is designed for hardware implementation of the 4D hyperchaotic attractors. In particular, a remarkable fractional-order circuit diagram is designed for physically verifying the hyperchaotic attractors existing not only in the integer-order system but also in the fractional-order system with an order as low as 3.6. 相似文献
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A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system 下载免费PDF全文
This paper investigates the synchronization between integer-order and fractional-order chaotic systems.By intro-ducing fractional-order operators into the controllers,the addressed problem is transformed into a synchronization one among integer-order systems.A novel general method is presented in the paper with rigorous proof.Based on this method,effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order,and for the synchronization between an integer-order Chen system and a fractional-order Liu system.Numerical results,which agree well with the theoretical analyses,are also given to show the effectiveness of this method. 相似文献
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In this paper, chaotic behaviours in the fractional-order Liu system
are studied. Based on the approximation theory of fractional-order
operator, circuits are designed to simulate the fractional- order
Liu system with $q=0.1-0.9$ in a step of 0.1, and an experiment has
demonstrated the 2.7-order Liu system. The simulation results prove
that the chaos exists indeed in the fractional-order Liu system with
an order as low as 0.3. The experimental results prove that the
fractional-order chaotic system can be realized by using hardware
devices, which lays the foundation for its practical applications. 相似文献
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Dynamical analysis,circuit realization,and application in pseudorandom number generators of a fractional-order laser chaotic system 下载免费PDF全文
Chenguang Ma 《中国物理 B》2021,30(12):120504-120504
A new five-dimensional fractional-order laser chaotic system (FOLCS) is constructed by incorporating complex variables and fractional calculus into a Lorentz-Haken-type laser system. Dynamical behavior of the system, circuit realization and application in pseudorandom number generators are studied. Many types of multi-stable states are discovered in the system. Interestingly, there are two types of state transition phenomena in the system, one is the chaotic state degenerates to a periodical state, and the other is the intermittent chaotic oscillation. In addition, the complexity of the system when two parameters change simultaneously is measured by the spectral entropy algorithm. Moreover, a digital circuit is design and the chaotic oscillation behaviors of the system are verified on this circuit. Finally, a pseudo-random sequence generator is designed using the FOLCS, and the statistical characteristics of the generated pseudo-random sequence are tested with the NIST-800-22. This study enriches the research on the dynamics and applications of FOLCS. 相似文献
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针对含参数不确定的整数阶统一混沌系统, 提出一种鲁棒分数阶比例-微分(PDμ)控制. 通过变换将受控统一混沌系统转换成等效被控对象及其等效控制器. 针对等效被控对象, 基于一种改进Monje-Vinagre方法并考虑到求解性能约束方程组的复杂度, 设计了鲁棒PDμ控制器. 通过基于最小相角边界传递函数和最大增益边界传递函数的设计约束来保证受控统一混沌系统对参数不确定性的鲁棒性能. 数值仿真验证了所提出方法的有效性. 相似文献
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A new circuit unit for the analysis and the synthesis of the chaotic behaviours in a fractional-order Liu system is proposed in this paper. Based on the approximation theory of fractional-order operator, an electronic circuit is designed to describe the dynamic behaviours of the fractional-order Liu system with α = 0.9. The results between simulation and experiment are in good agreement with each other, thereby proving that the chaos exists indeed in the fractional-order Liu system. 相似文献
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We present a new fractional-order resistor-capacitor controller and a novel control method based on the fractional-order controller to control an arbitrary three-dimensional fractional chaotic system. The proposed control method is simple, robust, and theoretically rigorous, and its anti-noise performance is satisfactory. Numerical simulations are given for several fractional chaotic systems to verify the effectiveness and the universality of the proposed control method. 相似文献
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Control of a fractional chaotic system based on a fractional-order resistor-capacitor filter 下载免费PDF全文
We present a new fractional-order resistor-capacitor controller and a novel control method based on the fractional- order controller to control an arbitrary three-dimensional fractional chaotic system. The proposed control method is simple, robust, and theoretically rigorous, and its anti-noise performance is satisfactory. Numerical simulations are given for several fractional chaotic systems to verify the effectiveness and the universality of the proposed control method. 相似文献
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通过设计一个非线性反馈控制器,实现了分数阶混沌系统的同步.与其他的分数阶混沌系统同步方法相比,提出的控制器设计方法保留了部分误差系统中的非线性项,而没有完全抵消同步误差系统的非线性项,有效改善了误差系统的控制性能.同时,应用区间分数阶线性时不变系统稳定性原理和线性矩阵不等式技术,得到了一个新的分数阶混沌系统同步的充分条件,进而获得的控制器保证了混沌系统同步.仿真结果验证了提出方法的有效性.
关键词:
区间分数阶时不变系统
分数阶混沌系统
混沌同步 相似文献
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Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation 总被引:1,自引:0,他引:1 下载免费PDF全文
The chaotic behaviours of a fractional-order generalized Lorenz
system and its synchronization are studied in this paper. A new
electronic circuit unit to realize fractional-order operator is
proposed. According to the circuit unit, an electronic circuit is
designed to realize a 3.8-order generalized Lorenz chaotic system.
Furthermore, synchronization between two fractional-order systems is
achieved by utilizing a single-variable feedback method. Circuit
experiment simulation results verify the effectiveness of the
proposed scheme. 相似文献
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提出了一种并行遗传算法用于比例-积分-微分(PID)控制器结构和参数的同时优化,遗传算法采用浮点数和二进制混合矩阵编码.优化后的PID控制器用于统一混沌系统的控制,仿真研 究结果表明:1) 用一个比例-积分(PI)调节器可将统一混沌系统控制到零不动点; 2) 用 三个PI调节器可将统一混沌系统控制到非零不动点;3) 所提出的并行遗传算法具有很强的 全局优化能力,较好地克服了简单遗传算法的过早收敛问题;4) 整个控制系统具有很好的调 节品质和很强的鲁棒性,对PID调节器用于控制混沌系统具有重要的参考价值.
关键词:
混沌
统一混沌系统
遗传算法
比例-积分-微分控制 相似文献