非方广义系统带干扰抑制的奇异LQ次优控制问题

Singular LQ suboptimal control problem with disturbance rejection for nonregular descriptor systems

研究了非方广义系统带干扰抑制的奇异线性二次指标次优控制问题(LQ次优控制问题).在给定的条件下,存在次优控制—状态对使得闭环系统的性能指标被控制在尽量小的范围之内,次优控制可被综合为状态反馈,闭环系统的任意有限特征值均在开左半复平面,闭环系统的状态有最少自由元.

A singular linear quadratic suboptimal control problem （LQ suboptimal control problem） is considered for nonregular .descriptor systems with disturbance rejection, Under the given conditions, a suboptimal control-state pair can be found such that the performance of the closed-loop system is within some range. The suboptimal control can be synthesized as state feedback. All the finite eigenvalues of the closed-loop system are located on the open left-half complex plane and the state of tbe closed-loop system has the least free entries.