共查询到18条相似文献,搜索用时 359 毫秒
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具有时滞的线性区间系统的鲁棒稳定性 总被引:5,自引:0,他引:5
本文给出了线性区间时滞系统鲁棒稳定性的一些结果,这些结果推广和改进了前人关于线性时滞系统鲁棒稳定性的相关结论,同时还讨论了线性区间时滞系统的稳定度,最后讨论了线性区间时滞大系统的鲁棒稳定性. 相似文献
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带有时滞的区间动力系统的鲁棒稳定性研究 总被引:2,自引:1,他引:1
给出了区间动力系统稳定性的相关概念,讨论了带有时滞的区间动力系统的鲁棒稳定性.通过构造控制矩阵和迭代相结合的方法,给出了一类带有时滞的区间动力系统鲁棒稳定的判别方法,并且给出了系统鲁棒稳定时参数取值的最大区间.将含有时滞的区间动力系统的稳定性转化为判别一个矩阵的稳定性,推广和改进了已有的结论. 相似文献
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具有时滞的线性区间动力系统的鲁棒稳定性 总被引:2,自引:0,他引:2
利用Lyapunov原理,给出了具有时滞的线性区间动力系统鲁棒稳定的一些充分条件,推广和改进了前人关于具有时滞的线性区间动力系统的鲁棒稳定性的相关结论,并举例说明了本文结果不仅保守性小,且计算简单. 相似文献
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针对带分布时滞和离散时滞的不确定中立型系统进行稳定性研究. 基于交互式凸组合方法和下界引理, 通过构造恰当的李雅普诺夫泛函, 适当分割时滞区间, 处理一组由凸参数逆加权的正函数线性组合(交互式凸组合), 给出线性矩阵不等式形式的系统鲁棒稳定性判据. 该方法允许离散时滞为变时滞, 增强了系统的鲁棒性能. 数值算例验证了所得结果的有效性和合理性.
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In this paper, we consider robust stability and stabilization of uncertain Takagi-Sugeno fuzzy time-delay systems where uncertainties come into the state and input matrices. Some stability conditions and robust stability conditions for fuzzy time-delay systems have already been obtained in the literature. However, those conditions are rather conservative and do not guarantee the stability of a wide class of fuzzy systems. This is true in case of designing stabilizing controllers for fuzzy time-delay systems and it thus leads to a conservative fuzzy controller design as well. We first consider rather relaxed robust stability conditions of uncertain fuzzy systems. To this end, we introduce an auxiliary system to the original fuzzy time-delay system to obtain generalized delay-dependent stability conditions. Such an auxiliary system has some arbitrary matrices that generalize not only the system representation but also delay-dependent stability conditions. Conditions we obtain here are delay-dependent conditions that depend on the upper bound of time-delay, and are given in terms of linear matrix inequalities (LMIs). Then, we compare our delay-dependent stability conditions with other conditions in the literature, and show that our conditions guarantee the stability of a wider class of systems than others. Next, we consider the robust stabilization problem with memoryless and delayed state feedback controllers. Based on our generalized robust stability conditions, we obtain delay-dependent sufficient conditions for the closed-loop system to be robustly stable, and give a design method of robustly stabilizing controllers. Finally, we give three examples that illustrate our results. 相似文献
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This article is concerned with new robust stability conditions and robust stabilisation method for a discrete-time system with time-delay and time-varying structured uncertainties that come into state and input matrices. An improved approach to obtain new robust stability conditions is proposed. Our approach employs a generalised Lyapunov functional combined with the parameterised model transformation method and the generalised free weighting matrix method. These generalisations lead to generalised robust stability conditions that are given in terms of linear matrix inequalities. Moreover, based on new robust stability conditions, a robust stabilisation method for uncertain discrete-time systems with time-delay is given. Numerical examples compare our robust stability conditions with some existing conditions to show the effectiveness of our approach and also illustrate the improvement of our robust stabilisation method. 相似文献
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This paper is concerned with the computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations. Firstly, a delay-independent condition on the robust stability is presented and a method to determine the maximum upper bound of robust stability is given. Then, a delay-dependent robust stability condition is provided. All results are given in terms of linear matrix inequalities where efficient solution procedures are available. Numerical examples have shown that the results are less conservative than some previous established bounds. 相似文献
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Delay-Dependent Robust Stability Criteria for Two Classes of Uncertain Singular Time-Delay Systems 总被引:3,自引:0,他引:3
In this note, the delay-dependent robust stability criteria for two classes of singular time-delay systems with norm-bounded uncertainties are investigated. First, without using model transformation and bounding technique for cross terms, an improved delay-dependent stability criterion for the nominal singular time-delay system is established in terms of strict linear matrix inequalities (LMIs). Then, based on this criterion, the delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems are proposed, which ensure that the systems are regular, impulse free and asymptotically stable for all admissible uncertainties. Numerical examples are proposed to illustrate the less conservatism of the obtained results 相似文献
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This article considers the robust exponential stability of uncertain switched stochastic systems with time-delay. Both almost sure (sample) stability and stability in mean square are investigated. Based on Lyapunov functional methods and linear matrix inequality techniques, new criteria for exponential robust stability of switched stochastic delay systems with non-linear uncertainties are derived in terms of linear matrix inequalities and average dwell-time conditions. Numerical examples are also given to illustrate the results. 相似文献
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一类非线性不确定时滞系统的鲁棒镇定 总被引:13,自引:0,他引:13
基于Lyapunov稳定性理论,了一类具有状态非线性不确定线性时滞系统的鲁棒稳定的一个充分条件。通过求解一个代数Riccati方程即可获得鲁棒稳定控制器,并且该控制器不依赖于系统的时滞。具体算例说明了该方法有效性。 相似文献
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一类奇异摄动时滞不确定系统鲁棒稳定性 总被引:4,自引:4,他引:0
为了解决复杂工业过程控制系统由于工程设计时模型描述的不完全性造成的不稳定,针对一类常见的奇异摄动时滞不确定线性系统,研究了其鲁棒稳定性问题。通过对系统各参数日。范数有界摄动分析,获得了系统时滞有关稳定的充分条件。给出了保证系统稳定的时滞τ及奇异摄动参数ε的上界,在工程设计中为复杂工业过程控制系统稳定边界的判别提供了简单有效的手段。应用实例表明了奇异摄动时滞不确定系统鲁棒稳定性充分条件使用的方便性。 相似文献