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Xiefu Jiang Qing-Long Han Shirong Liu Anke Xue 《Automatic Control, IEEE Transactions on》2008,53(4):1025-1032
This note is concerned with robust Hinfin control of linear networked control systems with time-varying network-induced delay and data packet dropout. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the time-varying network-induced delay, is proposed to drive a new delay-dependent Hinfin stabilization criterion. The criterion is formulated in the form of a non-convex matrix inequality, of which a feasible solution can be obtained by solving a minimization problem in terms of linear matrix inequalities. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no slack variable is introduced. Finally, two numerical examples are given to show the effectiveness of the proposed design method. 相似文献
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Yin Zongming Jiang Xiefu Wang Fang 《International Journal of Control, Automation and Systems》2020,18(4):877-885
International Journal of Control, Automation and Systems - The problem of stability for systems with multiple probabilistic intervals time-varying delay is investigated in this paper. First, it is... 相似文献
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提出一种新的时滞分解方法—时滞不等分法,研究了T-S模糊常时滞系统的稳定性准则问题。基于Lyapunov稳定性理论,构造恰当的Lyapunov-Krasovskii泛函,以线性矩阵不等式形式给出一个决策变量少、运算效率高、保守性小的时滞相关稳定性准则。最后给出数例说明该方法的有效性。 相似文献
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On control for linear systems with interval time-varying delay 总被引:1,自引:1,他引:1
This paper deals with the problem of delay-dependent robust H∞ control for linear time-delay systems with norm-bounded, and possibly time-varying, uncertainty. The time-delay is assumed to be a time-varying continuous function belonging to a given interval, which means that the lower and upper bounds for the time-varying delay are available, and no restriction on the derivative of the time-varying delay is needed, which allows the time-delay to be a fast time-varying function. Based on an integral inequality, which is introduced in this paper, and Lyapunov–Krasovskii functional approach, a delay-dependent bounded real lemma (BRL) is first established without using model transformation and bounding techniques on the related cross product terms. Then employing the obtained BRL, a delay-dependent condition for the existence of a state feedback controller, which ensures asymptotic stability and a prescribed H∞ performance level of the closed-loop systems for all admissible uncertainties, is proposed in terms of a linear matrix inequality (LMI). A numerical example is also given to illustrate the effectiveness of the proposed method. 相似文献
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Xiefu Jang Wenli Xu 《Fuzzy Systems, IEEE Transactions on》2004,12(5):743
The research in the above paper (X. Jiang and W. Xu, "Comments on 'Stability of fuzzy control systems with bounded uncertain delays'", IEEE Trans. Fuzzy Syst., vol. 12, pp. 285-286, Apr. 2004) was carried out while the first author was with the Department of Automation, Tsinghua University, Beijing 100084, China. He is now with the Faculty of Informatics and Communication, Central Queensland University, Rockhampton QLD 47012, Australia. 相似文献
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This paper is concerned with the problem of robust H∞ controller design for a class of uncertain networked control systems (NCSs). The network‐induced delay is of an interval‐like time‐varying type integer, which means that both lower and upper bounds for such a kind of delay are available. The parameter uncertainties are assumed to be normbounded and possibly time‐varying. Based on Lyapunov‐Krasovskii functional approach, a robust H∞ controller for uncertain NCSs is designed by using a sum inequality which is first introduced and plays an important role in deriving the controller. A delay‐dependent condition for the existence of a state feedback controller, which ensures internal asymptotic stability and a prescribed H∞ performance level of the closed‐loop system for all admissible uncertainties, is proposed in terms of a nonlinear matrix inequality which can be solved by a linearization algorithm, and no parameters need to be adjusted. A numerical example about a balancing problem of an inverted pendulum on a cart is given to show the effectiveness of the proposed design method. 相似文献
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This paper investigates robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and is a fast time-varying function. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. A new Lyapunov-Krasovskii functional, which makes use of the information of both the lower and upper bounds of the interval time-varying delay, is proposed to drive some new delay-dependent stability criteria. In order to obtain much less conservative results, a tighter bounding for some term is estimated. Moreover, no redundant matrix variable is introduced. Finally, three numerical examples are given to show the effectiveness of the proposed stability criteria. 相似文献
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在知识经济临近之时,我国企业界应如何迎头赶上,本文从研究知识经济内涵和确立其发展观,立足国情企情发挥优势,逐步提高创新水平等有关方面提出了一些具体实施意见。 相似文献
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Xiefu Jiang Wenli Xu 《Fuzzy Systems, IEEE Transactions on》2004,12(2):285-286
In these comments, some misleading statements in the above paper have been pointed out and relation results are given. 相似文献