共查询到18条相似文献,搜索用时 234 毫秒
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关于非线性时滞系统的鲁棒稳定性条件的讨论 总被引:1,自引:0,他引:1
1 引 言在《自动化学报》1 999年第 6期中 ,短文“非线性时滞系统的稳定性分析及鲁棒稳定性分析”[1 ] 用 Lyapunov函数方法分别讨论了确定性和不确定性非线性时滞系统的稳定性 .对于确定性系统得到了一种基于 LMI的渐近稳定充分条件 ,并研究了不确定性系统的鲁棒稳定性问题 .但由于该文对 Razumikhin定理的理解有误 ,有关鲁棒稳定性的结论 (定理 1、推论 1 )是不正确的 .对于 Razumikhin定理 ,文 [2 ]给出了一种所谓的改进型 Razumikhin定理 .但有人提出质疑 ,问题在于没有正确理解 Razumikhin定理 [3,4] .文 [1 ]虽然没有直接提到 R… 相似文献
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非线性随机时滞系统族的鲁棒稳定性 总被引:4,自引:0,他引:4
研究了不确定性的一族非线性随机时滞系统的指数稳定性,建立了这种系统的均
方指数稳定和几乎必然指数稳定的时滞相关的充分准则;然后应用这些充分条件到一类不确
定性的随机时滞神经网络,得到了这种神经网络指数稳定的实用判据.最后一个数值例子说
明所给准则的有效性. 相似文献
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非线性中立型时滞系统的鲁棒耗散控制 总被引:2,自引:0,他引:2
研究了非线性中立型时滞系统的鲁棒耗散控制问题,系统包含状态时滞和非线性不确定性,基于Lyapunov稳定性理论,给出了该类时滞系统在非线性不确定性满足增益有界的条件下耗散控制器存在的充分条件,并通过线性矩阵不等式(LMI)方法构造得出耗散控制状态反馈律,最后给出一个数值算例验证了本文结果的有效性. 相似文献
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时滞控制系统鲁棒稳定性分析 总被引:12,自引:0,他引:12
Lurie型时滞控制系统是工程实践中经常遇到的一类重要的非线性控制系统,本文通
过构造Lyapunov函数,提出了不确定性Lurie时滞控制系统Robust稳定的充分条件,并给出
了本文结果的一个应用实例. 相似文献
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研究了一类中立型非线性不确定时滞系统的稳定性分析和状态观测器设计问题,系统包含状态时滞和非线性不确定性,基于Lyapunov稳定性理论,给出了该类时滞系统在非线性不确定性满足增益有界的条件下状态观测器存在的充分条件,并通过线性矩阵不等式(LMI)方法构造得出基于状态观测器的动态输出反馈控制器,最后给出一个数值算例验证了本文结果的有效性. 相似文献
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具有多个时变时滞的不确定系统的时滞相关稳定性 总被引:1,自引:0,他引:1
研究了具有多个时变时滞的不确定系统的
稳定性问题, 利用Razumikhn定理与向量不等式的方法, 给出了不确定时滞系统稳定的充分
条件. 所得的条件与时滞相关, 在很大程度上降低了现有结果的保守性. 文末给出了一个应
用的算例, 并与已有的结果作了比较. 相似文献
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Analytical design of active disturbance rejection control for nonlinear uncertain systems with delay
For first-order nonlinear uncertain systems with delay, the analytical design of active disturbance rejection control (ADRC) with matched time delay is rigorously studied. The conditions of stabilizing the closed-loop system are studied in the form of parameters’ explicit sets such that the tuning laws of ADRC can be directly obtained and intuitively demonstrated in engineering practice. The necessary and sufficient condition of the asymptotical stability for the closed-loop system in the case of linear time-invariant is explicitly given. The condition of stabilizing the closed-loop system with nonlinear uncertain dynamics is quantitatively presented. Moreover, the water tank experiment illustrates the proposed tuning laws. 相似文献
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Alexander Aleksandrov Elena Aleksandrova Alexei Zhabko 《International journal of systems science》2017,48(10):2111-2119
Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov–Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results. 相似文献
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This paper deals with the problem of quadratic stability analysis and quadratic stabilization for uncertain linear discrete-time systems with state delay. The system under consideration involves state time delay and time-varying norm-bounded parameter uncertainties appearing in all the matrices of the state-space model. Necessary and sufficient conditions for quadratic stability and quadratic stabilization are presented in terms of certain matrix inequalities, respectively. A robustly stabilizing state feedback controller can be constructed by using the corresponding feasible solution of the matrix inequalities. Two examples are presented to demonstrate the effectiveness of the proposed approach. 相似文献
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We consider the problem of robust stability of a class of uncertain nonlinear dynamical systems with time-varying delay. Based on the assumption that the nominal system (i.e. the system in the absence of uncertainty and delay) is stable, we derive some sufficient conditions on robust stability of uncertain nonlinear dynamical systems with time-varying delay. Some analytical methods and the Bellman-Gronwall inequality are used to investigate such sufficient conditions. The notable features of the results obtained in this paper are their simplicity in testing the stability of uncertain dynamical systems with delay and their clarity in giving an insight into system analysis. Our results are also applicable to perturbed time-delay dynamical systems without exact knowledge of the delay. In addition, a numerical example is given to demonstrate the validity of our results. 相似文献
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本文研究了具有无穷时滞切换不确定细胞神经网络(UCNNs)系统任意切换下的指数稳定性.利用同胚映射和M-矩阵理论,得到UCNNs系统平衡点存在性,唯一性和指数稳定性的充分条件;利用Lyapunov泛函方法,研究了时滞切换UCNNs系统任意切换下的鲁棒指数稳定性,并得到确保系统全局指数稳定的充分条件. 相似文献
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Robust Exponential Stability and Stabilization of a Class of Nonlinear Stochastic Time‐Delay Systems
Meng Yuan 《Asian journal of control》2013,15(4):1168-1177
This paper presents new exponential stability and delayed‐state‐feedback stabilization criteria for a class of nonlinear uncertain stochastic time‐delay systems. By choosing the delay fraction number as two, applying the Jensen inequality to every sub‐interval of the time delay interval and avoiding using any free weighting matrix, the method proposed can reduce the computational complexity and conservativeness of results. Based on Lyapunov stability theory, exponential stability and delayed‐state‐feedback stabilization conditions of nonlinear uncertain stochastic systems with the state delay are obtained. In the sequence, the delayed‐state‐feedback stabilization problem for a nonlinear uncertain stochastic time‐delay system is investigated and some sufficient conditions are given in the form of nonlinear inequalities. In order to solve the nonlinear problem, a cone complementarity linearization algorithm is offered. Mathematical and/or numerical comparisons between the proposed method and existing ones are demonstrated, which show the effectiveness and less conservativeness of the proposed method. 相似文献