The effects of the distance to uncontrollability in redundant optimal control

摘要：

　　In the paper,the new lower and upper bounds of the distance to uncontrollability are presented by solving the Riccati equations.In redundant optimal control,it is derived that the larger distance to uncontrollability would lead to the smaller quadratic performance index.Due to this result,we obtain some sufficient conditions to strictly increase the distance to uncontrollability with the control input extensions on the basis of the new lower and upper bounds.These results show that how to choose the redundant control inputs to improve the control performance of linear system.Meanwhile,an essential difference is showed from these results between single-input and multi-input control systems.Numerical results illustrate that these conditions work well.

关键词： upper and lower bounds the distance to uncontrollability Riccati equation quadratic performance index redundant control

作者: XIA Yaping CAI Chenxiao YIN Minghui ZOU Yun

作者单位: School of Automation,Nanjing University of Science and Technology,210014,China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 9016-9021

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）