Output feedback guaranteed cost control of uncertain linear discrete systems with interval time-varying delays

Output feedback guaranteed cost control of uncertain linear discrete systems with interval time-varying delays
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DOI:
10.1016/j.apm.2012.04.035
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发表时间:
2013-02
影响因子:
5
通讯作者:
T. Fernando;V. Phat;H. Trinh
T. Fernando;V. Phat;H. Trinh
中科院分区:
工程技术2区
文献类型:
--
作者:
T. Fernando;V. Phat;H. Trinh

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研究了一类不确定线性离散时滞系统的输出反馈保性能控制问题,其中状态和观测输出均服从区间时变时滞。所提出的输出反馈控制器使用的观测测量指数稳定的闭环系统,并保证足够的系统性能水平。通过构造一组增广Lyapunov-Krasovskii泛函,以线性矩阵不等式的形式给出了鲁棒输出反馈保性能控制的时滞依赖条件.三个数值例子证明了所提出的方法的有效性。
This paper deals with output feedback guaranteed cost control problem for a general class of uncertain linear discrete delay systems, where the state and the observation output are subjected to interval time-varying delay. The proposed output feedback controller uses the observation measurement to exponentially stabilize the closed-loop system and guarantee an adequate level of system performance. By constructing a set of augmented Lyapunov–Krasovskii functionals, a delay-dependent condition for the robust output feedback guaranteed cost control is established in terms of linear matrix inequalities (LMIs). Three numerical examples are provided to demonstrate the efficiency of the proposed method.