摘要
讨论一类具有随机跳变参数的线性系统正实控制问题 ,其跳变参数的跃迁由有限状态的马尔可夫过程描述 .基于随机李亚普诺夫函数的方法 ,并结合线性矩阵不等式 ,分别提出依赖于模态的状态反馈和输出反馈控制 ,以保证相应闭环系统的严格正实性 .进一步针对系统含参数不确定性的情形 ,引入鲁棒正实性分析 ,得到鲁棒正实控制器存在的充分条件和设计方法 .
The positive real analysis and synthesis problems are investigated for a class of linear systems with random jump parameters. The dynamics of the jump parameters is modeled by a continuous-time finite-state Markov process. Based on stochastic Lyapunov functional approach, both state and output-feedback mode-dependent controllers are proposed to guarantee the strict positive realness of the resulting closed-loop systems. For the Markov jump systems subject to parametric uncertainties, sufficient conditions which are in terms of solutions of a set of coupled linear matrix inequalities are developed to design robust controllers such that stochastic stability and positive realness property hold irrespective of all admissible uncertainties.
出处
《自动化学报》
EI
CSCD
北大核心
2003年第5期761-766,共6页
Acta Automatica Sinica
基金
国家杰出青年基金 (NSFC :6 0 0 2 5 30 8)
中国高等学校优秀青年教师教学和科研奖励基金资助~~
