摘要
针对参数不确定的中立型随机时滞系统,提出鲁棒稳定与H∞控制问题.通过构造Lyapunov泛函,由I t公式,并利用Schur补原理,结合分析方法,建立了用线性矩阵不等式(LMI)表示的保证闭环系统均方渐近稳定的充分条件,由此可对状态反馈控制器作出选择.进一步给出了不确定系统鲁棒H∞控制可解性的充分条件.所得结果解决了文献中的相关问题.
Several problems of robust stochastic stabilization and H∞ control for uncertain stochastic systems with time-varying delay in the state were investigated. Linear Matrix Inequality（LMI） conditions which ensure the closed-loop system mean-square asymptotically stable were established by using ItO formula, Schur theory and method of analysis. Therefore, a memoryless state feedback controller was designed, Furthermore, the sufficient conditions were obtained for the solvability of H∞ control of uncertain systems. These results have solved relevant problems in the references.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第1期54-57,共4页
Journal of Hunan University:Natural Sciences
基金
国家自然科学基金资助项目(10571032)
关键词
随机系统
时滞系统
鲁棒随机稳定
H∞控制
线性矩阵不等式
stochastic systems
delay systems
robust stochastic stabilization
H∞ control
linear matrix inequality
