时滞系统在高速网络下的最优扰动抑制  

Optimal disturbance rejection for systems with time delays in high-speed networks

作　　者：唐功友[1] 盖绍婷[1] 

机构地区：[1]中国海洋大学信息科学与工程学院,山东青岛266100

出　　处：《控制理论与应用》2010年第7期965-970,共6页Control Theory & Applications

基　　金：国家自然科学基金资助项目(40776051)

摘　　要：研究在含有控制时滞与测量时滞的系统在高速通讯网络下最优扰动抑制问题.首先建立在高速通讯网络下含有控制时滞与测量时滞系统的离散化数学模型,利用模型转换将时滞系统转化为形式上的无时滞系统.然后通过求解离散Riccati方程和Stein方程设计含有状态反馈、扰动前馈和控制记忆项的最优控制律,前馈项和控制记忆项分别补偿了扰动和控制时滞对系统性能的影响.通过构造降维扰动状态观测器,设计了含扰动前馈、输出反馈及控制记忆项的动态控制律,解决了前馈补偿器的物理不可实现问题.仿真实例验证了所设计的最优控制律的有效性.The optimal disturbance rejection is considered for systems with delayed control and measurement in highspeed communication networks. Firstly, the discrete-time mathematical models for systems with delayed control and measurement are established. Based on a model transformation, we transform the system with delays to a formal system without delay. Then, the optimal control law with a state feedback, a disturbance feedforward and a control memory term is derived from a discrete Riccati equation and a Stein equation. The feedforward control term and the control memory term compensate for the effects of disturbances and the control delay, respectively. A dynamic control law with a disturbance feedforward, an output feedback and a control memory term is designed by constructing a reduced-order disturbance state observer, the observer makes the feedforward compensator physically realizable. Simulation results demonstrate the effectiveness of the optimal control law.

关 键 词：时滞 离散时问系统 网络控制系统 扰动 最优控制 观测器 

分 类 号：O232[理学—运筹学与控制论]