Controllability to the origin implies state-feedback stabilizability for discrete-time nonlinear systems
Controllability to the origin implies state-feedback stabilizability for discrete-time nonlinear systems
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DOI：
10.1016/j.automatica.2016.09.046
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发表时间：
2015-05
期刊：
影响因子：
--
通讯作者：
S. Hanba
中科院分区：
文献类型：
--
作者：
S. Hanba
本技术公报研究了离散非线性系统的有限时间状态反馈镇定问题。有两个断言已经得到了证实。首先，如果系统是N步可控到原点，则存在一个状态反馈控制律，闭环系统的轨迹在N步收敛到原点。其次，如果系统渐近能控于原点，且在原点满足能控阶条件，则存在状态反馈控制律，使闭环系统的轨迹以有限步收敛于原点。
The problem of finite-time state-feedback stabilizability of discrete-time nonlinear systems has been considered in this technical communique. Two assertions have been proved. First, if the system is N-step controllable to the origin, then there is a state feedback control law for which the trajectory of the closed-loop system converges to the origin in N steps. Second, if the system is asymptotically controllable to the origin and satisfies the controllability rank condition at the origin, then there is a state feedback control law for which the trajectory of the closed-loop system converges to the origin in finite steps.