自动化学报Issue(1)：216-221,6.DOI:10.16383/j.aas.2015.c140370
广义马氏跳变系统在一般转移速率下的控制器设计
Stabilization of Singular Markovian Jump Systems with General Switching
摘要
Abstract
This paper considers the stabilization of singular Markovian jump systems with general switching, where the tran-sition rate matrix is uncertain and partially unknown. Com-pared with the existing results, the methods proposed in this paper are less conservative and are very suitable to deal with many practical problems. First, a new condition of stochastic admissibility for singular Markovian jump systems with general switching is obtained by exploiting the slack variable method. Then, several conditions for the existence of mode-dependent and mode-independent controllers are developed in terms of lin-ear matrix inequalities (LMIs). Finally, a numerical example is given to show the effectiveness and advantages of the design methods.关键词
广义马氏跳变系统/不确定切换率/转移概率部分未知/线性矩阵不等式Key words
Singular Markovian jump systems/uncertain switching probability/partially unknown transition rate matrix/linear matrix inequality (LMI)引用本文复制引用
王国良,薄海英..广义马氏跳变系统在一般转移速率下的控制器设计[J].自动化学报,2015,(1):216-221,6.基金项目
国家自然科学基金(61104066,61374043),中国博士后科学基金(2012M521086),辽宁省高等学校优秀人才支持计划(LJQ2013040),辽宁省自然科学基金(2014020106)资助Supported by National Natural Science Foundation of China (61104066,61374043), China Postdoctoral Science Foundation Funded Project (2012M521086), the Program for Liaoning Excellent Talents in University (LJQ2013040), and Natural Science Founda-tion of Liaoning Province (2014020106) （61104066,61374043）
