Characterization of Controllability Based on Continuity of Closed-Loop Eigenvectors: Application to Controller-Driven Sampling Stabilization

被引：3
作者：
Haimovich, Hernan [1 ,2 ]
Osella, Esteban N. [1 ,2 ]
机构：
[1] Univ Nacl Rosario, CONICET, CIFASIS, RA-2000 Rosario, Argentina
[2] Univ Nacl Rosario, Depto Control, Esc Ing Elect, FCEIA, RA-2000 Rosario, Argentina
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 01期
关键词：
Continuity; controllability; eigenvector assignment; gap metric; subspace-valued maps; SWITCHED LINEAR-SYSTEMS; STABILITY; STABILIZABILITY;
D O I：
10.1109/TAC.2015.2434072
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note presents a novel characterization of controllability for linear time-invariant finite-dimensional systems. This characterization relates eigenvalue controllability with the continuity of the map that assigns to each closed-loop eigenvalue the smallest subspace containing the set of corresponding closed-loop eigenvectors. Application of the given characterization is illustrated on a specific case of controller-driven sampling stabilization, where the sampled system is interpreted as a discrete-time switched system and stability under arbitrary switching is ensured via simultaneous triangularization (Lie-algebraic solvability).
引用
收藏
页码：276 / 281
页数：6
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