Stabilization of exponentially unstable linear systems with saturating actuators

被引：57
|
作者：
Hu, TS [1 ]
Lin, ZL
Qiu, L
机构：
[1] Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA
[2] Hong Kong Univ Sci & Technol, Dept Elect & Elect Engn, Kowloon, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2001年 / 46卷 / 06期
关键词：
actuator saturation; domain of attraction; null controllable region; semiglobal stabilization;
D O I：
10.1109/9.928610
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study the problem of stabilizing exponentially unstable linear systems with saturating actuators. The study begins with planar systems with both poles exponentially unstable. For such a system, we show that the boundary of the domain of attraction under a saturated stabilizing linear state feedback is the unique stable limit cycle of its time-reversed system. A saturated linear state feedback is designed that results in a closed-loop system having a domain of attraction that is arbitrarily close to the null controllable region. This design is then utilized to construct state feedback laws for higher order systems with two exponentially unstable poles.
引用
收藏
页码：973 / 979
页数：7
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