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Decentralized state-feedback chaotification method of discrete Takagi-Sugeno fuzzy systems 下载免费PDF全文
A new chaotification method is proposed for making an arbitrarily given discrete Takagi-Sugeno (TS) fuzzy system chaotic. Based on a given discrete TS fuzzy system, the new chaotification method uses the decentralized state-feedback control and the continuous sawtooth function, instead of the modulo operation, to construct a chaotic nonlinear system,which can generate discrete chaos with the arbitrarily desired amplitude bound. We apply the improved Marotto theorem to mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. In particular, an explicit formula for the computation of chaotification parameters is obtained. A numerical example is used to illustrate the theoretical results. 相似文献
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Generating Li-Yorke chaos in a stable continuous-time T-S fuzzy model via time-delay feedback control 下载免费PDF全文
This paper investigates the chaotification problem of a stable continuous-time T-S fuzzy system.A simple nonlinear state time-delay feedback controller is designed by parallel distributed compensation technique.Then,the asymptotically approximate relationship between the controlled continuous-time T-S fuzzy system with time-delay and a discrete-time T-S fuzzy system is established.Based on the discrete-time T-S fuzzy system,it proves that the chaos in the discretetime T-S fuzzy system satisfies the Li-Yorke definition by choosing appropriate controller parameters via the revised Marotto theorem.Finally,the effectiveness of the proposed chaotic anticontrol method is verified by a practical example. 相似文献
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Chaotifying a linear time-invariant system by the state feedback controller and sawtooth function 下载免费PDF全文
Another algorithm for chaotification of any given linear time-invariant discrete-time systems is presented. The new chaotification algorithm uses the decentralized control and the continuous sawtooth function, which can generate discrete chaos with an arbitrarily desired amplitude bound. Based on the Marotto theorem, we mathematically prove that the controlled system is chaotic in the sense of Li and Yorke. Finally, a simple example is used to illustrate the effectiveness of the proposed theory and method. 相似文献
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解玲丽 《应用数学和力学(英文版)》2013,34(9):1167-1174
This paper shows that two or more switched linear systems can generate chaotic dynamical behaviors by an appropriate switching rule as they at least consist of a controllable system and an unstable system with the expanding property. According to the results in the reference (Xie, L. L., Zhou, Y., and Zhao, Y. Criterion of chaos for switched linear systems with antrollers. International Journal of Bifurcation and Chaos, 20(12), 4105-4109 (2010)), a nonlinear feedback gain is needed to generate chaotic dy- namics. A linear feedback control is usually used to approximate the nonlinear one for simulation. In order to obtain the exact control, as a main result of this paper, the con- troller is constructed by Russell's result, and a block diagram is included to interpret the realization of the controller. Numerical simulations are given to illustrate the generated chaotic dynamical behavior of the switched linear systems with some parameters and show the effects of the constructed controller. 相似文献
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In this paper, an approach for chaotifying a stable controllable
linear system via single input state-feedback is presented. The
overflow function of the system states is designed as the
feedback controller, which can make the fixed point of the
closed-loop system to be a snap-back repeller, thereby yields
chaotic dynamics. Based on the Marotto theorem, it proves
theoretically that the closed-loop system is chaotic in the
sense of Li and Yorke. Finally, the simulation results are used
to illustrate the effectiveness of the proposed method. 相似文献
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研究了利用分散状态反馈控制使稳定的Takagi-Sugeno(TS)模糊系统产生Devaney混沌的问题。所提的分散反馈控制器是由分散线性反馈控制器与2补运算的溢出非线性函数复合而成的。2补运算的溢出非线性导致了复杂动态。应用Shi-Chen定理从数学上证明了受控系统在Devaney意义下确实是混沌的。给出了计算混沌化参数的解析公式。一个数值例子被用来说明所提的理论结果。 相似文献
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研究了利用任意小幅值的状态反馈控制来混沌化稳定的Takagi-Sugeno (TS) 模糊系统问题。所用状态反馈控制器是系统状态的锯齿函数。我们应用改进的Marotto定理从数学上证明了受控系统在Li-Yorke意义下是混沌的。特别地,给出了计算混沌化参数的解析公式。最后一个数值例子被用来说明所提的理论结果。 相似文献
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This paper is concerned with chaotification
of discrete Lagrange systems in one dimension, via feedback
control techniques. A chaotification theorem for discrete
Lagrange systems is established. The controlled systems are
proved to be chaotic in the sense of Devaney. In particular, the
systems corresponding to the original systems and designed
controllers are only required to satisfy some mild assumptions. 相似文献
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