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Robust H#x221E; control for large-scale Systems with uncertain missing measurements probabilities

机译：不确定缺失概率的大型系统的鲁棒H ∞控制

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摘要

In this paper, robust stabilization problems for a class of large-scale systems with missing measurements are considered. It is assumed that the occurrence of missing measurements satisfies a Bernoulli random binary switching sequence with an unknown conditional probability distribution. A state feedback controller can be designed to make the closed-loop large-scale systems exponentially mean-square stable and achieve the prescribed H∞ performance in term of linear matrix inequality (LMI). A numerical example is also provided to demonstrate the validity of the proposed design approach.

机译：在本文中，考虑了一类缺少测量值的大型系统的鲁棒镇定问题。假定丢失测量的发生满足具有未知条件概率分布的伯努利随机二进制切换序列。可以将状态反馈控制器设计为使闭环大型系统指数均方稳定，并根据线性矩阵不等式（LMI）达到规定的H∞性能。还提供了一个数值示例来证明所提出的设计方法的有效性。

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《Chinese Control Conference》|2014年|4366-4370|共5页
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Zhou Ying; Jin Qinfeng;
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Educational institutions; Large-scale systems; Linear matrix inequalities; Measurement uncertainty; Robustness; State feedback; Large-scale systems; Linear Matrix Inequality; State feedback controller; Unknown conditional probability;

机译：教育机构;大型系统;线性矩阵不等式;测量不确定度;坚固性状态反馈;大型系统;线性矩阵不等式;状态反馈控制器;条件概率未知;

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1. 存在双通道丢包的不确定网络控制系统鲁棒滑模控制 [J] . 张驭, 任立通, 谢寿生, 中南大学学报（英文版） . 2019,第004期
2. Robust H∞ control of Hamiltonian system with uncertainty [J] . Xue Ancheng, Mei Shengwei, Hu Wei, Tsinghua Science and Technology . 2003,第6期

机译：具有不确定性的哈密顿系统的鲁棒H ∞控制
3. Robust H-infinity control for T-S fuzzy systems subject to missing measurements with uncertain missing probabilities [J] . Gao Ming, Sheng Li, Liu Yurong Neurocomputing . 2016,第Juna12期

机译：T-S模糊系统的鲁棒H无限控制，具有丢失概率不确定的丢失度量
4. Observer-based Robust H ∞ Control for Uncertain Discrete-time T-S Fuzzy Systems [J] . A. Bentaleb, A. Benzaouia, A. El Hajjaji, IFAC PapersOnLine . 2020,第2期

机译：基于观察者的鲁棒H ∞对不确定离散时间T-S模糊系统的控制
5. Robust Hinfamp;#x221E;/inf control for large-scale Systems with uncertain missing measurements probabilities [C] . Zhou Ying, Jin Qinfeng Chinese Control Conference . 2014

机译：鲁棒H ＆＃x221e; 对大规模系统的控制，具有不确定的测量概率
6. Reduced-order robust adaptive controller design and convergence analysis for uncertain SISO linear systems with noisy output measurements . [D] . Zhao, Qingrong. 2007

机译：具有噪声输出测量的不确定SISO线性系统的降阶鲁棒自适应控制器设计和收敛分析。
7. Controlled Biomineralization of Magnetite (Fe(inf3)O(inf4)) and Greigite (Fe(inf3)S(inf4)) in a Magnetotactic Bacterium [O] . D. A. Bazylinski, R. B. Frankel, B. R. Heywood, 1995

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8. Reduced-order #x210B;2/#x210B;#x221E; control of discrete-time LPV systems with experimental validation on an overhead crane test setup [O] . G. Hilhorst, G. Pipeleers, W. Michiels, 2015

机译：减少ℋ 2 /ℋ∞在架空起重机测试设置上具有实验验证的离散时间LPV系统的控制
9. H Sup Inf Minimax Approach to the Design of Robust Control Systems [R] . Foo, Y. K., Postlethwaite, I. 1984

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Robust H#x221E; control for large-scale Systems with uncertain missing measurements probabilities

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