共查询到20条相似文献，搜索用时 125 毫秒
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CHEN混沌系统的同步控制 总被引：1，自引：0，他引：1
混沌系统的研究在国内外正在广泛的开展,如何使得对混沌系统的控制达到良好的控制效果构成了问题的关键。由于Chen混沌系统具有的参数不确定性,以至于常规的控制方法很难实现对Chert混沌系统的控制,讨论了一种参数可调节的自适应同步设计方法。设计出了可以使两个同结构的Chen系统状态渐近同步的自适应控制器,其参数调节律Lya2punov稳定性理论来确定。最后进行数字仿真,仿真结果表明了这种方法的有效性和实用性。 相似文献
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本文以一个典型的只含一个非线性项的超混沌系统为研究对象,设计了非线性反馈控制器,使该系统实现了自同步。对控制器的控制效果用Lyapunov稳定性理论进行了理论证明,并用Matlab7.0软件进行了计算机仿真,验证了所设计控制器的有效性。 相似文献
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混沌是非线性系统的固有现象,电力系统是典型的非线性系统。针对周期性负荷扰动下电力系统中出现的混沌,提出了一种模糊滑模控制方法,设计了模糊滑模控制器,从理论上证明了控制器可以快速到达切换面。在该控制器的作用下使系统输出渐进跟踪参考轨迹,用模糊控制规则来抑制常规滑模控制器中的高频抖振。仿真结果表明,所设计的模糊滑模控制器能够有效抑制电力系统的混沌振荡。 相似文献
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一个统一混沌系统及其研究 总被引：6，自引：0，他引：6
发现了一个新的混沌系统,它是介于著名的Lorenz系统和Chen系统之间的临界系统。同时,提出了一个单参数的统一混沌系统———Lorenz系统族,它包含Lorenz系统和Chen系统作为参数区间的两个极端系统,临界系统作为一个过渡系统。基于线性耦合多振子互同步问题的研究,提出了研究这一类问题的新方法———模式分解法,并首次从理论上给出了上述 3个典型系统混沌同步的几个严格的充分条件。还提出了一类新的简单的切换分段线性反控制器,它能够使一个简单的线性系统在三维空间中同时产生n个,或一个具有多吸引域融合的复杂混沌吸引子 相似文献
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利用脉冲非线性状态反馈控制混沌 总被引：3，自引：0，他引：3
研究了脉冲非线性反馈控制方法控制Lorenz系统的混沌问题，首先从理论上论证了控制方法的正确性．然后设计出了三种控制器并给出了控制器应满足的条件，理论分析和数值模拟结果表明混沌Lorenz系统中的不稳定不动点能被稳定控制，而且Hopf分岔也能产生，给出了相应的数值模拟结果，例如不动点、极限环(IP)轨道，采用脉冲控制方法的优点是控制代价小，工程上易于实现，最后指出，对于其他具有平衡点对称的混沌系统如蔡氏电路系统的混沌控制，此控制策略同样有效。 相似文献
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针对一类线性系统的混沌化问题进行研究,应用脉冲控制方法实现稳定线性系统的混沌化。在一定的假设条件下,设计一个简单的脉冲控制器,得到混沌化的充分条件。最后,通过研究数值示例说明脉冲控制器是一种有效的混沌化工具,脉冲控制方法具有简单高效的特点。 相似文献
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Baojiang Sun Min Li Fangfang Zhang Hui Wang Jian Liu 《Journal of The Franklin Institute》2019,356(1):334-350
Time-delay is frequently encountered in a variety of practical chaotic systems, such as chaos-communication. The behaviours of time-delay chaotic system are greatly different from those of the original system. Self-time-delay synchronization (STDS) implies that the synchronization between the time-delay system and the original system while maintaining the structure and parameters of systems unchanged, thus these various problems produced by time-delay in practice are avoided. Firstly, we investigate the characteristics of two-time-delay complex Lorenz system. Then we take one-time-delay and two-time-delay complex Lorenz system as examples, and design their controllers to realize STDS. One-time-delay complex Lorenz system is a special case of two-time-delay. Numerical simulations verify the validity of the STDS controllers. The controllers only involve error, and it is easy to realize in practice. Moreover, the time-delay chaotic system exhibits highly stochastic behaviors and unpredictable properties, which can be applied to chaos-communication and enhance the security of communication. 相似文献
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Han Ho Choi 《Journal of The Franklin Institute》2003,340(2):135-146
In this paper, we propose a method to estimate the asymptotic stability region (ASR) of uncertain variable structure systems with bounded controllers. Using linear matrix inequalities (LMIs) we estimate the ASR and we show the exponential stability of the closed-loop control system in the estimated ASR. We also give simple LMI-based algorithms for estimating the ASR and designing a switching surface which will make the estimated ASR big. Finally, we give numerical examples in order to show that our method can be better than the previous results for a certain class of uncertain variable structure systems with bounded controllers. 相似文献
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This note is concerned with global stabilization of linear systems subject to input saturation and time delays. Based on the Luenberger canonical form, two new decoupling methods are proposed. For the decoupled system, according to some special canonical forms, we propose two control laws for systems with input time-delays and systems with input saturation and time-delays, and give explicit conditions to ensure the global stability of the closed-loop system. Two special canonical forms contain time delays in input and state vectors, which is essential in recursive design. In addition, for the system subject to input saturation and time-delay, we introduce some free parameters when designing the controller, which can improve the instantaneous performance of the closed-loop system. Finally, the proposed approach is applied on the multi-agent system to design global stabilizing controllers and the effectiveness of the proposed controllers are illustrated by numerical simulations. 相似文献
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《Journal of The Franklin Institute》2019,356(8):4215-4239
This paper investigates the output regulation problem for a class of switched nonlinear systems with at least a feedback incrementally passive subsystem via average dwell time method. First, the output regulation problem for switched nonlinear system via full information feedback is solved. The stabilizing controllers consist of the state feedback controllers and linear output feedback controllers. In some particular cases, it is unnecessary to verify that all the solutions of the switched nonlinear system converge to the bounded steady-state solution, while we only have to verify the regulated outputs converge to zero directly. Second, a dynamic error-feedback stabilizer for each subsystem and a switched internal model whose subsystems all are incrementally passive are designed to solve the output regulation problem for the switched nonlinear system under a composite switching signal with average dwell times. The stabilizer and the internal model are interconnected in a more simple way and allowed to switch asynchronously. Finally, two examples are provided to show the effectiveness of the obtained results. 相似文献
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A new and systematic method to design digital controllers for uncertain chaotic systems with structured uncertainties is presented in this paper. Takagi-Sugeno (TS) fuzzy model is used to model the chaotic dynamic system, while the uncertainties are decomposed such that the uncertain chaotic system can be rewritten as a set of local linear models with an additional disturbed input. Conventional control techniques are utilized to develop the continuous-time controllers first. Then, the digital controllers are obtained as the digital redesign of the continuous-time controllers using the state-matching approach. The performance of the proposed controller design is illustrated through numerical examples. 相似文献
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We investigate the input–output decoupling problem of switched Boolean control networks (SBCNs) in this paper. Based on the matrix expression of Boolean functions, the dynamics of SBCNs are converted into an algebraic form via semi-tensor product of matrices first. Then, using the redundant variable separation technique, we give the necessary and sufficient conditions for the existence of three kinds of controllers to detect whether an SBCN can be input–output decomposed or not, respectively, including the open-loop controllers, the state feedback controllers, and the output feedback controllers. Meanwhile, a constructive procedure is presented to construct the open-loop controllers, as well as the state feedback controllers and output feedback controllers. Finally, an illustrative example is given to show that the new results obtained are effective. 相似文献
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Huiling Xu Zhiping Lin Xiaokai Zhai Hongyan Feng Xuefeng Chen 《Journal of The Franklin Institute》2018,355(16):7924-7961
This paper is concerned with the quadratic stability analysis and robust distributed controllers design of both continuous-time and discrete-time uncertain spatially interconnected systems (USISs), where uncertainties are modeled by linear fractional transformation (LFT). The well-posedness, quadratic stability, and contractiveness of USISs are properly defined for the first time. A sufficient condition employing the given system matrices is established to check the well-posedness, quadratic stability and contractiveness. This condition is simpler than the existing conditions based on the decomposition of system matrices. Based on the new condition derived, a sufficient condition is given for the existence of robust distributed controllers and a constructive method is then presented for the design of robust distributed controllers. The advantage of the proposed constructive approach is that it employs the given system matrices while the existing methods conduct the bilinear transformation on these matrices when design controllers, and consequently, the constructive approach in this paper is computationally more efficient than the existing methods. Several examples are included to demonstrate the simplicity, efficiency and applicability of the derived theoretical results. 相似文献
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Mauro Cappelli Bernardino Castillo–Toledo Stefano Di Gennaro 《Journal of The Franklin Institute》2021,358(2):1308-1326
In this work, dynamic controllers are designed for reactor power, pressurizer water level, and pressure control in the primary circuit of a pressurized water reactor. These nonlinear controllers use super-twisting sliding-mode estimators to enhance their robustness versus parameter variations and external disturbances. Hence, the perturbative terms can be canceled by the control, thus improving the dynamic behavior of the controlled system. The designed controllers ensure good performances and better transient behavior, also in the presence of uncertainties and disturbances. A performance study of the proposed controllers is carried out in the presence also of unmodeled dynamics. 相似文献