Controllability and near-controllability of a class of discrete-time inhomogeneous bilinear systems

被引:2
作者
Tie, Lin [1 ]
机构
[1] Beijing Univ Aeronaut & Astronaut, Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100083, Peoples R China
基金
中国国家自然科学基金;
关键词
Discrete-time bilinear systems; near-controllability; controllability; nearly controllable subspaces; SUBSPACES;
D O I
10.1080/00207179.2020.1749937
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a class of discrete-time inhomogeneous bilinear systems whose controllability cannot be checked by the classical results is considered. By using an algebraic technique, it is shown that the systems are never controllable. Near-controllability of the systems is thus studied and, by defining a novel transition operator, an algebraic necessary and sufficient criterion is established, where the control inputs to achieve state transition can also be computed. Furthermore, the established near-controllability result is applied to study nearly controllable subspaces of the discrete-time homogeneous bilinear systems. Although such systems were investigated in the previous work, a new and larger class of nearly controllable subspaces of the homogeneous systems is derived, which cannot be found by the previous work due to different algebraic structures. Finally, an algorithm for solving the control inputs to achieve state transition as well as examples are given to demonstrate the results of this paper.
引用
收藏
页码:3022 / 3037
页数:16
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