文献类型：会议论文

英文题名：Stochastic Stabilization of Semi-Markov Jump Systems with Linear Fraction Uncertainty: State Feedback Case

作者：Long, Fei Zhou, Junmin Guo, Lu

第一作者：龙飞

通信作者：Long, F[1]

机构：[1]Guizhou Univ, Coll Elect & Informat, Guizhou Inst Technol, Coll Informat Engn, Guiyang, Peoples R China;[2]Guizhou Univ, Coll Elect & Informat, Guiyang, Peoples R China

第一机构：贵州理工学院电气与信息工程学院

通信机构：corresponding author), Guizhou Univ, Coll Elect & Informat, Guizhou Inst Technol, Coll Informat Engn, Guiyang, Peoples R China.|贵州理工学院电气与信息工程学院;贵州理工学院;

会议论文集：International Conference on Mechatronics and Control (ICMC)

会议日期：JUL 03-05, 2014

会议地点：Jinzhou, PEOPLES R CHINA

语种：英文

外文关键词：partition scheme; semi-Markov jump linear system; stochastic stabilization; linear fraction uncertainty; time-varying transition rate

年份：2014

摘要：In this note, we propose the robust state feedback control problem and the robust stochastic stability for the Semi-Markov jump linear system (S-MJLS) with the feature of Linear Fraction uncertainties. The transition rates of the S-MJLS is time varying function with respect to dwell-time d. Under the assumption that the transition rates of the S-MJLS is bounded, sufficient condition of numerical solution for the stochastic robust stability and robust state feedback control of such uncertain S-MJLS is established according to linear matrix inequalities. In order to decrease the conservativeness, the stochastic robust stability condition and robust state feedback controller is correspondingly developed via partitioning the lower and upper bounds of the time-varying transition rate, respectively. Finally, numerical simulation and comparative studies demonstrate the effectiveness and advantages of the obtained theoretical results.