ROBUST QUANTIZED H_∞ CONTROL FOR NETWORK CONTROL SYSTEMS WITH MARKOVIAN JUMPS AND TIME DELAYS

Fangwen Li; Xingcheng Wang; Peng Shi

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ROBUST QUANTIZED H_∞ CONTROL FOR NETWORK CONTROL SYSTEMS WITH MARKOVIAN JUMPS AND TIME DELAYS

机译：具有马尔可夫跳跃和时间延迟的网络控制系统的鲁棒量化H_∞控制

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摘要

This paper deals with the quantized H_∞ control problem for uncertain networked control system with Markovian jumps and time delays. In the study, network-induced delays and limited communication capacity due to signal quantization are both taken into consideration. The system contains time delays and Markovian jumps with partially known transition probabilities. By linear inequality approach, a sufficient condition is derived for the resulting closed-loop system to be stochastically stable with a prescribed H_∞ performance level. Finally, a numerical example is given to illustrate the effectiveness and efficiency of the proposed design method.

机译：本文研究了具有马尔可夫跳跃和时滞的不确定网络控制系统的量化H_∞控制问题。在研究中，考虑了网络引起的延迟和由于信号量化而导致的通信容量有限。该系统包含时间延迟和马尔可夫跳跃，具有部分已知的跃迁概率。通过线性不等式方法，得出了充分的条件，以使所得的闭环系统在规定的H_∞性能水平下随机稳定。最后，通过算例说明了所提设计方法的有效性和有效性。

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来源
《International Journal of Innovative Computing Information and Control》 |2013年第12期|4889-4902|共14页
作者
Fangwen Li; Xingcheng Wang; Peng Shi;
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作者单位

College of Information Science and Technology Dalian Maritime University No. 1, Linghai Rd., Ganjingzi District, Dalian 116026, P. R. China;

College of Information Science and Technology Dalian Maritime University No. 1, Linghai Rd., Ganjingzi District, Dalian 116026, P. R. China;

School of Electrical and Electronic Engineering The University of Adelaide Adelaide, 5005 SA, Australia,College of Engineering and Science Victoria University Melbourne VIC 8001, Australia;

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正文语种 eng
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关键词
Network control system; Quantization; Markov jump linear system; Linear matrix inequality;

机译：网络控制系统;量化;马尔可夫跳跃线性系统线性矩阵不等式;

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专利

1. Robust H_∞ Control for Class of Discrete-Time Markovian Jump Systems with Time-Varying Delays Based on Delta Operator [J] . Jiqing Qiu, Hongjiu Yang, Peng Shi, Circuits, systems, and signal processing . 2008,第5期

机译：基于Delta算子的时变时滞离散马尔可夫跳跃系统的鲁棒H_∞控制。
2. Delay-range-dependent robust stabilisation and H_∞ control for nonlinear uncertain stochastic fuzzy systems with mode-dependent time delays and Markovian jump parameters [J] . P. Balasubramaniam, T. Senthilkumar International journal of systems science . 2013,第1a3期

机译：具有模式相关时滞和马尔可夫跳跃参数的非线性不确定随机模糊系统的时滞相关鲁棒镇定和H_∞控制
3. Delay-Dependent Robust Stabilization and H_∞ Control for Nonlinear Stochastic Systems with Markovian Jump Parameters and Interval Time-Varying Delays [J] . Senthilkumar T., Balasubramaniam P. Journal of Optimization Theory and Applications . 2011,第1期

机译：具有马尔可夫跳跃参数和时变时滞的非线性随机系统的时滞相关鲁棒镇定和H_∞控制
4. Robust Stabilization and H_∞ Control of Uncertain Discrete-time Markovian Jump Linear Systems with Mode-dependent Time-delays [C] . WANG Xianyuan, XIE Dongmei Chinese Control Conference . 2010

机译：强大的稳定和H_∞控制不确定的离散时间马尔可维亚跳跃线性系统，具有模式相关的时滞
5. Control of time-delayed Markovian jump linear systems. [D] . Beane, Carlos D. 2010

机译：时滞马尔可夫跳跃线性系统的控制。
6. Enhanced robust finite-time passivity for Markovian jumping discrete-time BAM neural networks with leakage delay [O] . C Sowmiya, R Raja, Jinde Cao, -1

机译：具有泄漏延迟的马尔可夫跳跃离散时间BAM神经网络的增强鲁棒有限时间无源性
7. Robust Adaptive Sliding Mode Control of Markovian Jump Systems with Uncertain Mode-dependent Time-varying Delays and Partly Unknown Transition Probabilities [O] . Zohrabi, Nasibeh, Zakeri, Hasan, Abolmasoumi, Amir Hossein, 2017

机译：基于maTLaB的马尔可夫跳跃系统鲁棒自适应滑模控制不确定的模式相关的时变延迟和部分未知的转换概率

ROBUST QUANTIZED H_∞ CONTROL FOR NETWORK CONTROL SYSTEMS WITH MARKOVIAN JUMPS AND TIME DELAYS

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