The Optimal Preview Control for a class of Descriptor Discrete-time Systems with Multirate Setting

摘要：

The problem of optimal preview controller design for descriptor discrete-time systems with multirate setting is discussed in this paper. According to discrete-time lifting technique, the multirate preview control problem is transformed into the single-rate one for a certain augmented system. Then, an error system is constructed by using difference operator. Through employing some identities and including the difference of the known future information of desired tracking into the state vector of the error system, the problem is changed into optimal control problem of common descriptor system. Based on the result, a design method for an optimal preview controller is presented by the optimal control method of descriptor discrete-time systems. Moreover, the R-stabilizability and R-detectability of the error system have also been discussed.

关键词： Discrete-time system Descriptor system Multirate control system Optimal control Preview control

作者: Fucheng Liao Panduan An Di Wang

作者单位: School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, Chi School of Automation, University of Science and Technology Beijing, Beijing 100083, China

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 2442-2446

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）