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网络控制系统多变量DMC算法的稳定性分析
引用本文:赵旋,何德峰,周洲. 网络控制系统多变量DMC算法的稳定性分析[J]. 浙江工业大学学报, 2012, 40(2): 209-212
作者姓名:赵旋  何德峰  周洲
作者单位:浙江工业大学信息工程学院,浙江杭州,310023
基金项目:国家自然科学基金资助项目(60904040,50908213)
摘    要:针对网络化控制系统(NCSs),研究具有多输入多输出的动态矩阵控制(DMC)算法的闭环稳定性问题.首先,基于有限脉冲响应(FIR)模型导出了系统前向通道和反馈通道上均存在随机网络诱导时延的网络化DMC算法;其次,利用线性矩阵不等式(LMIs)方法分析该多变量网络化DMC算法的稳定性,将系统稳定性问题转化为一类求解LMI方程的可行解的问题,进而建立网络化DMC闭环系统的稳定性充分条件.最后,通过数值仿真实验验证该稳定性结论的有效性.

关 键 词:动态矩阵控制  网络控制系统  时延  稳定性  线性矩阵不等式

Analyze on the stability of multivariable DMC algorithm in networked control systems
ZHAO Xuan , HE De-feng , ZHOU Zhou. Analyze on the stability of multivariable DMC algorithm in networked control systems[J]. Journal of Zhejiang University of Technology, 2012, 40(2): 209-212
Authors:ZHAO Xuan    HE De-feng    ZHOU Zhou
Affiliation:(College of Information Engineering,Zhejiang University of Technology,Hangzhou 310023,China)
Abstract:The stability problem of multi-input and multi-output dynamic matrix control(DMC) algorithm is investigated for networked control systems(NCSs).Firstly,a networked DMC algorithm is deduced based on finite impulse response(FIR) model,in which the random network will induce time-delay on the system forward channel and feedback channel.Secondly,the stability of the networked DMC algorithm is analyzed with the method of linear matrix inequalities(LMIs) and the system stability problem is transformed into solving feasible solution of the LMI equations.Then the sufficient condition of stability is established for the networked DMC closed-loop system.Finally,a numerical simulation experiment verifies the effectiveness of the results.
Keywords:dynamic matrix control  networked control systems  time-delay  stability  linear matrix inequalities
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