摘要
研究了线性定常控制系统(SIMO或MISO)在结构参数扰动下的鲁棒稳定性。对于固定控制器,如果在标称参数p^0下闭环渐稳,我们指出了在参数空间中找出比中心位于p_0的最大稳定超球还要大的稳定超球的构造方法,可以求出包含p_0的一个最大的稳定超球,从而得到更大的稳定锥形域。改善了鲁棒稳定性判据,得到了一个同时镇定系统族的充分条件。
Robust stability of SIMO or MISO linear time-invariant control systems is investigated in this paper. For a given controller, if the nominal closed loop system is asymptotically stable, stability hyper-spheres which contain the largest stability hypersphere centered at the nominal parameter vector p0 are structurally determined and the largest one of them is also obtained to improve the creteria of robust stability. In addition,a sufficient condition for simultaneously stabilizing a family of plants is proposed in terms of a larger stability hypercone.
出处
《北京航空航天大学学报》
EI
CAS
CSCD
北大核心
1991年第1期1-7,共7页
Journal of Beijing University of Aeronautics and Astronautics
关键词
参数空间
鲁棒
稳定性
控制系统
robust stability,parameter space,simultaneously stabilizing.