共查询到10条相似文献,搜索用时 62 毫秒
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On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty 总被引:4,自引:0,他引:4
Qing-Long Han 《Automatica》2004,40(6):1087-1092
This paper investigates the robust stability of uncertain linear neutral systems with time-varying discrete delay. A delay-dependent stability criterion is obtained and formulated in the form of a linear matrix inequality. Two numerical examples are given to indicate significant improvements over some existing results. 相似文献
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An improved LMI-based approach for stability of piecewise affine time-delay systems with uncertainty
The stability problem for uncertain piecewise affine (PWA) time-delay systems is investigated in this article. It is assumed that there exists a known constant time delay in the system and the uncertainly is norm-bounded. Sufficient conditions for the stability of nominal systems and the stability of systems subject to uncertainty are derived using the Lyapunov–Krasovskii functional with a triple integration term. This approach handles switching based on the delayed states (in addition to the states) for a PWA time-delay system, considers structured as well as unstructured uncertainty and reduces the conservativeness of previous approaches. The effectiveness of the proposed approach is demonstrated by comparing with the existing methods through numerical examples. 相似文献
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Lisong Yuan 《Systems & Control Letters》1996,28(5):281-289
The problems of robust analysis and synthesis of systems with state-delay and norm-bounded time-varying parameter uncertainty are studied. It is shown that these problems are equivalent to the H∞ analysis and synthesis problems of an auxiliary system, which is independent of the time-delay and the uncertainty in the system. The necessary and sufficient conditions for the equivalence are developed. Thus any standard H∞ analysis and synthesis method can be used to solve this problem. 相似文献
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Peng Shi Ramesh K. Agarwal El-Kébir Boukas Shyh-Pyng Shue 《International journal of systems science》2013,44(4):409-415
This paper studies, via a linear matrix inequality approach, the problem of Hinfinity control for discrete time-delay linear systems with parametric uncertainty. The system under consideration is subjected to both time-varying norm-bounded parameter uncertainty and time delay in the state. First, the problem of robust stability of the underlying system is investigated. Next, we address the problem of robust Hinfinity state feedback control in which both robust stability and a prescribed Hinfinity performance are required to be achieved irrespective of the uncertainty and time delay. It is shown that the above problem can be solved if a linear matrix inequality has a symmetric positive definite solution. 相似文献
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Qing-Long Han Keqin Gu 《Automatic Control, IEEE Transactions on》2001,46(9):1426-1431
This paper considers the robust stability problem for a class of time-delay systems with norm-bounded, and possibly time-varying uncertainty. Based on the discretized Lyapunov functional approach, a stability criterion is derived. The time-delay is assumed constant and known. Numerical examples show that the results obtained by this new criterion significantly improve the estimate of the stability limit over some existing results in the literature 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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In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method. 相似文献