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具有外部扰动的线性离散系统有限时间有界性 被引量：2

Finite-time boundedness of discrete-time linear systems with exogenous disturbances
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摘要 对于外部扰动满足一个动态方程的线性离散系统,通过构造一个不含外部扰动项的李雅普诺夫函数,给出了此类系统有限时间有界的充分条件,与现有结果相比,该充分条件可以降低保守性.在此基础上,分别讨论了此类系统有限时间有界状态反馈控制器以及输出反馈控制器存在的充分条件.这些条件都可以转换为线性矩阵不等式的可行性问题.最后,通过仿真实验验证了本方案的有效性. A new Lyapunov function was constructed without the term of disturbances, and some sufficient conditions were given for finite-time boundedness for a class of discrete-time systems with exogenous disturbances. The disturbances were generated by an exosystem. Compared with the existed results, these conditions can decrease the conservation. Some sufficient conditions for the existence of state feedback controller and output feedback controller were also given. These conditions can be reduced to feasibility problems involving linear matrix inequalitie（LMI）. Finally, the proposed methodology was illustrated by an example.
作者 沈艳军 朱琳
机构地区 三峡大学理学院 南昌工程学院理学系
出处 《华中科技大学学报（自然科学版）》 EI CAS CSCD 北大核心 2008年第12期27-30,共4页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 湖北省教育厅创新团队资助项目(60773190) 湖北省教育厅重点资助项目(D20081306)
关键词 线性离散系统 线性矩阵不等式 有限时间有界性 状态反馈 输出反馈 discrete-time linear systems linear matrix inequality finite-time boundedness state feedback output feedback
分类号 O231 [理学—运筹学与控制论]
作者简介 沈艳军（1970-），男，副教授，E-mail：shenyi@ctgu．edu．cn．
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参考文献14

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二级参考文献22

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共引文献19

同被引文献21

  • 1孙甲冰,程兆林.一类不确定线性奇异系统的有限时间控制问题[J].山东大学学报（理学版）,2004,39(2):1-6. 被引量：16
  • 2FENGJun-E,WUZhen,SUNJia-Bing.Finite-time Control of Linear Singular Systems with Parametric Uncertainties and Disturbances[J].自动化学报,2005,31(4):634-637. 被引量：28
  • 3杨波,苏岩,施芹,周百令.硅微机械陀螺仪的机电接口模型分析[J].中国惯性技术学报,2005,13(5):49-53. 被引量：4
  • 4Yin Tao, Yang Haigang, Zhang Chong, et al. A low- noise readout circuit for MEMS vibratory gyroscope [C~//The 3rd IEEE Int Conf on Nano/Micro Engi- neered and Molecular Systems. Sanya, China, 2008: 124 - 127.
  • 5Mikko Saukoski, Lasse Aaltonen, Teemu Salo, et al. Interface and control electronics for a bulk micromach- ined capacitive gyroscope [ J ].Sensors and Actuators A : Physical, 2008, 147( 1 ) : 183 - 193.
  • 6Ajit Sharma, Mohammad Faisal Zaman, Farrokh Aya- zi. A 104-dB dynamic range transimpedance-based CMOS ASIC for tuning fork microgyroscopes [ J ]. IEEE Journal of Solid-State Circuits, 2007, 42 ( 8 ) : 1790 - 1802.
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  • 8Babak Vakili Amini, Farrokh Ayazi. A 2. 5-V 14-bit∑-Δ CMOS SOI capacitive accelerometer[ J]. IEEE Jour- nal of Solid-State Circuits, 2004, 39 (12): 2467 - 2476.
  • 9Dong Lili, Zheng Qing, Gao Zhiqiang. A novel oscilla- tion controller for vibrational MEMS gyroscopes [ C ]// 2007 American Control Conference. New York, USA, 2007 : 3204 - 3209.
  • 10Kim Dong Joon, M'Closkey R T. A systematic method for tuning the dynamics of electrostatically actuated vi-bratory gyros [ J ]. IEEE Transactions on Control Sys- tems Technology, 2006, 14( 1 ) :69 -81.

引证文献2

二级引证文献5

华中科技大学学报（自然科学版）
2008年 第12期

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