CAJ | 학술논문

对时滞依赖于模态的离散马尔可夫跳跃系统的鲁槔故障检测问题进行了研究.利用多面体系统表征系统时变参数的不确定性,在其顶点求解可以显著减少计算量.基于依赖于系统模态的滤波器构造残差产生系统,所设计的故障检测滤波器,其参数矩阵不是常值,而是以同一概率随着系统模态的变化而变化.设置H∞性能指标并利用线性矩阵不等式推导出故障检测滤波器存在的充分条件,求解出滤波器的参数矩阵.仿真结果表明:设计得到的鲁棒故障检测滤波器能够保证对故障信号的敏感性,并对外界扰动信号和系统时变参数的不确定性具有鲁棒性.
대시체의뢰우모태적리산마이가부도약계통적로고고장검측문제진행료연구.이용다면체계통표정계통시변삼수적불학정성,재기정점구해가이현저감소계산량.기우의뢰우계통모태적려파기구조잔차산생계통,소설계적고장검측려파기,기삼수구진불시상치,이시이동일개솔수착계통모태적변화이변화.설치H∞성능지표병이용선성구진불등식추도출고장검측려파기존재적충분조건,구해출려파기적삼수구진.방진결과표명:설계득도적로봉고장검측려파기능구보증대고장신호적민감성,병대외계우동신호화계통시변삼수적불학정성구유로봉성.
The robust fault detection of discrete Markovian jump systems with the mode-dependent delay is investigated. The uncertainty of the time-varying system parameters is expressed by the polytopic system to significantly reduce the computation for solving its vertexes. The residual generator is constructed based on the mode-dependent filter,the parameter matrixes of which vary with the system mode in the same probability. The H∞ performance indicator is set and the sufficient condition for the existence of the fault detection filter is deduced by means of linear matrix inequalities. The parameter matrixes are thus solved. A numerical example shows the designed filter,sensitive to the fault signal,has the robustness against the external disturbance signal and the uncertainty of system time-varying parameters.