共查询到20条相似文献,搜索用时 78 毫秒
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本文通过构造Lyapunov-Krasovskii泛函并利用线性矩阵不等式的方法将系统的稳定性问题转化为凸优化问题,建立了系统指数稳定的充分条件.该充分条件可利用标准的Matlab LMI工具箱来验证和求解. 相似文献
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研究了含有时变时滞的不确定中立系统的时滞相关稳定性问题.假定不确定参数是范数有界的,通过构造新的Lyapunov泛函和使用更一般的时滞分解方法,得到了基于LMI新颖的时滞相关稳定条件,并且用Matlab LMI工具箱很容易地求解.数值实例表明本文方法所得结果优于现有文献中的结果. 相似文献
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研究了一类具有饱和因子的滞后关联大系统的分散控制问题.首先对饱和因子进行了巧妙地处理,再通过构造Lyapunov泛函,利用(LMI)方法给出了分散控制状态反馈控制器的设计方法.控制器通过解线性矩阵不等式即可得到,计算简便.最后,数值例子和仿真说明了该设计方法的有效性. 相似文献
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研究一类含非线性扰动和混合时变时滞的中立型系统时滞相关鲁棒稳定性问题.通过构造包含三重积分项的Lyapunov-Krasovskii的泛函,结合积分不等式和自由权矩阵技术,建立了基于线性矩阵不等式(LMI)形式的离散时滞和中立时滞均相关的稳定性新判据.判据扩大了系统稳定所允许的最大时滞上界范围,具有更低的保守性.利用MATLAB的LMI工具箱进行了数值仿真,仿真算例验证了所提出的稳定性判据的有效性. 相似文献
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本文研究了具有变时滞的非线性随机时滞系统的时滞反馈鲁棒H∞控制问题.利用时滞分割技术,构造了新的Lyapunov-Krasovskii泛函,通过Ito公式,以线性矩阵不等式(LMI)的形式给出了时滞反馈鲁棒H∞控制器存在的充分条件,通过数值仿真算例说明了结论的正确性和方法的有效性. 相似文献
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线性Volterra系统V泛函的构造及其应用 总被引:1,自引:0,他引:1
V泛函的构造是讨论Volterra积分微分系统稳定性的关键.近十年来,不少作者在Liapunov泛函构造方面作了不少努力,但对一般的线性Volterra系统,还是没有构造Lispunov泛函通用而有效的方法.本文通过具体求解一个线性偏微分方程的方法来确定V泛函,得到了更广泛的Liapunov泛函以及变号V泛函.同时,利用这些V泛函对线性Volterra系统的实用稳定性与Lispunov稳定性作了讨论. 相似文献
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本文研究了具有非线性扰动的不确定随机时变时滞系统的鲁棒镇定的问题.构造了适当的Lyapunov-Krasovskii泛函并利用自由权矩阵方法,借助于线性矩阵不等式(LMI)技术,设计了一个无记忆状态反馈控制器,并获得了不确定随机时变时滞系统的时滞依赖鲁棒镇定判据.数值例子及其仿真曲线表明所提出的理论结果是有效的. 相似文献
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Yucai Ding Shouming Zhong Wufan Chen 《Nonlinear Analysis: Real World Applications》2011,12(2):1152-1162
This paper investigates a class of nonlinear singular systems. Based on the Lyapunov functional method and the free-weighting matrix method, a uniformly asymptotic stability criterion in terms of only one simple linear matrix inequality (LMI) is addressed, which guarantees stability for such time-varying delay systems. This LMI can be easily solved by convex optimization techniques. Two examples are given to illustrate the effectiveness of the proposed main results. All these results are expected to be of use in the study of nonlinear singular systems. 相似文献
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基于Lyapunov泛函方法,对存在状态时滞的线性离散不确定系统,给出了滞后相关型无记忆H∞状态反控制器设计方案,通过求解相应的线性矩阵不等式即可求得满足设计要求的控制器. 相似文献
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《Nonlinear Analysis: Hybrid Systems》2008,2(3):697-705
The stability of discrete-time systems with time varying delay in the state can be analyzed by using a discrete-time extension of the classical Lyapunov–Krasovskii approach. In the networked control systems domain a similar delay stability problem is treated using a switched system transformation approach. The paper aims to establish a relation between the switched system transformation approach and the classical Lyapunov–Krasovskii method. It is shown that using the switched systems transformation is equivalent to using a general delay dependent Lyapunov–Krasovskii functionals. This functional represents the most general form that can be obtained using sums of quadratic terms. Necessary and sufficient LMI conditions for the existence of such functionals are presented. 相似文献
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In this paper, the stability problem is investigated for networked control systems. Input delays and multiple communication imperfections containing time-varying transmission intervals and transmission protocols are considered. A unified framework based on the hybrid systems with memory is proposed to model the whole networked control system. Hybrid systems with memory are used to model hybrid systems affected by delays and permit multiple jumps at a jumping instant. The stability analysis depends on the Lyapunov–Krasovskii functional approaches for hybrid systems with memory and the proposed stability theorem does not need strict decrease of the Lyapunov–Krasovskii functional during jumps. Based on the developed stability theorems, stability conditions for networked control systems are established. An explicit formula is given to compute the maximal allowable transmission interval. In the special case that the networked control system contains linear dynamics, an explicit Lyapunov functional is constructed and stability conditions in terms of linear matrix inequalities (LMI) are proposed. Finally, an example of a chemical batch reactor is given to illustrate the effectiveness of the proposed results. 相似文献
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R. Rakkiyappan P. Balasubramaniam Jinde Cao 《Nonlinear Analysis: Real World Applications》2010,11(1):122-130
In this paper, by utilizing the Lyapunov–Krasovkii functional and combining with the linear matrix inequality (LMI) approach, we analyze the global exponential stability of neutral-type impulsive neural networks. In addition, an example is provided to illustrate the applicability of the result using LMI control toolbox in MATLAB. 相似文献
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一类离散的时滞脉冲切换系统的H_∞二次稳定性 总被引:1,自引:0,他引:1
研究了一类离散的时滞脉冲切换系统的H_∞控制问题,利用Lyapunov稳定性理论和线性矩阵不等式方法,给出了离散脉冲切换系统具有性能指标γ的充分条件. 相似文献
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In this paper, the fault-tolerant control for a class of discrete-time switched systems with time-varying delay and actuator
saturation is investigated. By using a newly constructed Lyapunov functional and the average dwell time scheme, a design procedure
is developed for the mode-dependent state feedback controller which ensures the exponential stability of the closed-loop systems.
Moreover, an optimization problem with linear matrix inequality (LMI) constraints is formulated to estimate the domain of
attraction of the origin for the underlying systems. A numerical example is finally given to illustrate the effectiveness
of the proposed method. 相似文献
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Global exponential stability of BAM neural networks with time-varying delays: The discrete-time case
《Communications in Nonlinear Science & Numerical Simulation》2011,16(2):613-622
This paper deals with the problem of stability analysis for a class of discrete-time bidirectional associative memory (BAM) neural networks with time-varying delays. By employing the Lyapunov functional and linear matrix inequality (LMI) approach, a new sufficient conditions is proposed for the global exponential stability of discrete-time BAM neural networks. The proposed LMI based results can be easily checked by LMI control toolbox. Moreover, an example is also provided to demonstrate the effectiveness of the proposed method. 相似文献