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

T.L Fernando; V.N. Phat; KM. Trinh

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

机译：具有时间间隔时滞的不确定线性离散系统的输出反馈保证成本控制

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摘要

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.

机译：针对一类不确定的线性离散时滞系统，其中状态和观测输出都受到区间时变时滞的影响，研究了输出反馈保证成本控制问题。所提出的输出反馈控制器使用观测测量来指数地稳定闭环系统并确保足够水平的系统性能。通过构造一组增强的Lyapunov-Krasovskii泛函，就线性矩阵不等式（LMI）而言，建立了鲁棒的输出反馈保证成本控制的时滞相关条件。提供了三个数值示例，以证明该方法的有效性。

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来源
《Applied Mathematical Modelling》 |2013年第3期|1580-1589|共10页
作者
T.L Fernando; V.N. Phat; KM. Trinh;
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作者单位

School of Electrical, Electronics and Computer Engineering, University of Western Australia, WA 6009, Australia;

Institute of Mathematics, VAST, 18 Hoang Quoc Viet, Hanoi 10307, Viet Nam;

School of Engineering, Deakin University, VIC 3217, Australia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
discrete-time systems; uncertainty; output feedback; interval time-varying delays; lyapunov functions; linear matrix inequalities;

机译：离散时间系统;不确定;输出反馈;间隔时变延迟;lyapunov功能;线性矩阵不等式;

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专利

1. LMI-based criterion for the robust guaranteed cost control of uncertain switched neutral systems with time-varying mixed delays and nonlinear perturbations by dynamic output feedback [J] . Ghadiri Hamid, Jahed-Motlagh Mohammad Reza Complexity . 2016,第S2期

机译：基于LMI的标准，用于基于时变混合延迟和非线性扰动的不确定切换中立系统的鲁棒保证成本控制，动态输出反馈
2. Robust Output Observer-Based Guaranteed Cost Control of a Class of Uncertain Switched Neutral Systems with Interval Time-Varying Mixed Delays [J] . Ghadiri Hamid, Jahed-Motlagh Mohammad Reza, Yazdi Mojtaba Barkhordari International Journal of Control, Automation, and Systems . 2014,第6期

机译：一类具有时变时滞的不确定切换中立系统的基于输出观测器的鲁棒保证成本控制
3. Robust Guaranteed Cost Decentralized Stabilization for Uncertain Discrete Large-Scale Systems with Delays via State Feedback and Output Feedback [J] . Nian X., Sun Z., Wang X. Journal of Optimization Theory and Applications . 2012,第2期

机译：具有状态反馈和输出反馈的不确定时滞离散离散系统的鲁棒保证成本分散稳定
4. Delay-dependent output feedback H∞ guaranteed cost control for uncertain discrete-time switched systems with multiple time-varying delays [C] . Linlin Hou, Guangdeng Zong, Yuqiang Wu 22nd Chinese Control and Decision Conference . 2010

机译：具有多个时变时滞的不确定离散时间切换系统的时滞相关输出反馈H ∞保证成本控制
5. Output feedback tracking control of nonlinear time-varying systems by trajectory linearization. [D] . Huang, Rui. 2007

机译：轨迹线性化对非线性时变系统的输出反馈跟踪控制。
6. Fuzzy ... formula ... output-feedback control for the discrete-time system with channel fadings sector nonlinearities and randomly occurring interval delays and nonlinearities [O] . Xiaozheng Fan, Yan Wang, Manfeng Hu -1

机译：具有信道衰落扇区非线性以及随机出现的间隔延迟和非线性的离散时间系统的模糊...公式输出反馈控制
7. Output feedback guaranteed cost control of uncertain linear discrete systems with interval time-varying delays [O] . Fernando, T.L., Phat, V.N., Trinh, H.M. 2013

机译：具有时间间隔时滞的不确定线性离散系统的输出反馈保证成本控制

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

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