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广义随机Markov跳变系统的耗散控制

Dissipative control for singular stochastic Markovian jump systems
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摘要 本文研究了带有布朗运动的广义随机Markov跳变系统的耗散控制问题.首先给出了系统随机容许性的充要条件和系统严格耗散性的充分条件.在此基础上给出了基于严格线性矩阵不等式的状态反馈控制器的设计方法,使得相应的闭环系统是随机容许的和严格耗散的.最后用数值算例验证了所得结论的正确性. This paper deals with the problem of dissipative control for singular Markovian jump systems with Wiener process .A sufficient and necessary condition is derived , which guarantees that the singular system is sto-chastic admissible .Based on this , the existence condition in the term of strict linear matrix inequalities for the dissipative state feedback controller is proposed .A numerical example is given to illustrate the effectiveness of the proposed design method .
作者 李丽 赵岩
机构地区 渤海大学数理学院
出处 《渤海大学学报（自然科学版）》 CAS 2014年第2期138-143,共6页 Journal of Bohai University:Natural Science Edition
基金 国家自然科学基金项目(No:61304054)
关键词 广义系统 MARKOV跳变系统 布朗运动 耗散控制 线性矩阵不等式 singular systems Markovian jump systems Brownian motion dissipative control linear ma-trix inequality
分类号 O644.12 [理学—物理化学]
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参考文献11

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二级参考文献10

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共引文献5

渤海大学学报（自然科学版）
2014年 第2期

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