Singular LQ problem for nonregular singular systems
This paper is concerned with the singular LQ problem for nonregular singular systems with persistent disturbances. The full information feedback control method is employed to achieve the optimal control. Through investigating the LQ problem for standard state space systems with persistent disturbances, and by a series of equivalent transformations, some sufficient conditions for the unique existence of optimal control-state pair are derived. These conditions are all described unitedly with matrix rank equalities, and the optimal control-state pair can be explicitly formulated via just solving an algebraic Riccati equation and a matrix equation. Moreover, the closed-loop system are proved possessing the least free entries, and a necessary and sufficient condition for the dynamic part of state of the closed-loop system to be unique is given.
Nonregular singular system Singular LQ problem Persistent disturbance Full information feedback
FANG Qingxiang CAO Feilong ZHANG Baolin
College of Science, China Jiliang University, Hangzhou, 310018, P.R.China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
2281-2286
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）