多胞型不确定性随机时滞系统鲁棒H<sub>∞</sub>控制

多胞型不确定性随机时滞系统鲁棒H_∞控制

基金项目: 国家自然科学基金资助项目（60474078，60304001，60574015）；南京理工大学科研启动基金资助项目（XSL 20051024）

详细信息

1.
Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China
2.
Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, China

摘要: 考虑凸多胞型不确定性的随机时滞系统的鲁棒H_∞控制问题，分别运用参数化和非参数化的李亚普诺夫函数，给出解决问题的充分条件．通过求解一组线性矩阵不等式（LMI），设计所需状态反馈控制器，所得到的闭环系统均方渐近稳定，且满足所需要的H_∞性能指标，其中参数化的李亚普诺夫函数具有更小的保守性．通过算例验证了方法的有效性．
- 线性矩阵不等式 /
- 多胞型不确定性 /
- 随机系统 /
- H_∞控制
Abstract: This paper considers the problem of robust H_∞ control for stochastic time-delay systems with convex polytopic uncertainties.Sufficient conditions for solving the problem are obtained by using parameter-independent and parameter-dependent Lyapunov functions respectively.The purpose is to design a state feedback controller so that,for all the admissible uncertainties,the resulting closed-loop system is mean-square asymptotically stable and satisfies a prescribed H_∞ performance level.It is shown that the result derived by a parameter-dependent Lyapunov function is less conservative.A desired state feedback controller can be designed by solving a set of linear matrix inequalities(LMIs).
- linear matrix inequality(LMI) /
- polytopic uncertainty /
- stochastic system /
- H_∞ control

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