参数空间中鲁棒稳定性问题

ROBUST STABILITY IN PARAMETER SPACE

本文研究了单输入多输出(SIMO)和多输入单输出(MISO)线性定常控制系统在对象参数扰动下的鲁棒稳定性问题,并对一给定的控制器,系统在标称参数p^o下闭环渐稳的情况,提出了在参数空间中构造比中心位于p^o的最大稳定超球还要大的稳定超球的方法,从而改善了鲁棒稳定性判据.

The robust stability problem of single-input multi-output (SIMO) and multi-input singleoutput (MISO) linear time-invariant control systems with perturbed parameter is studied in this paper. For a given controller, if the closed loop system with nominal parameter vector p° is asymptotically stable, a method to construct a stability hypersphere which contains the largest one centered at p° in the parameter space is proposed. As a result, a robust stability criterion is improved.