Time-varying feedback for stabilization in prescribed finite time
Time-varying feedback for stabilization in prescribed finite time
复制标题
时变反馈以在规定的有限时间内实现稳定
DOI：
10.1002/rnc.4084
复制
发表时间：
2019
影响因子：
3.9
通讯作者：
Krstic Miroslav
中科院分区：
文献类型：
--
作者：
Song Yongduan;Wang Yujuan;Krstic Miroslav
本文提出了一种基于时变增益的有限时间系统的时变反馈控制方案，称为“规定时间控制”，它具有以下几个上级特点：（1）这种基于时变增益的规定时间控制是建立在常规状态反馈而不是分数幂状态反馈的基础上的，因此在系统的整个运行过程中处处都是光滑的（Cm）控制作用;（ii）规定时间控制的特征在于可以在物理允许的范围内根据需要预先分配的均匀可预先规定的收敛时间，不仅与传统的有限时间控制（其中有限建立时间由系统初始条件和多个设计参数决定），而且固定时间控制（建立时间受到某些限制，因此只能在相应范围内指定）;以及（iii）该控制器仅依赖于正则的李雅普诺夫微分不等式而不是分数阶李雅普诺夫微分不等式进行稳定性分析，从而避免了传统控制器设计和稳定性分析中遇到的困难。高阶系统的有限时间控制
This paper provides a time‐varying feedback alternative to control of finite‐time systems, which is referred to as “prescribed‐time control,” exhibiting several superior features: (i) such time‐varying gain–based prescribed‐time control is built upon regular state feedback rather than fractional‐power state feedback, thus resulting in smooth (Cm) control action everywhere during the entire operation of the system; (ii) the prescribed‐time control is characterized with uniformly prespecifiable convergence time that can be preassigned as needed within the physically allowable range, making it literally different from not only the traditional finite‐time control (where the finite settling time is determined by a system initial condition and a number of design parameters) but also the fixed‐time control (where the settling time is subject to certain constraints and thus can only be specified within the corresponding range); and (iii) the prescribed‐time control relies only on regular Lyapunov differential inequality instead of fractional Lyapunov differential inequality for stability analysis and thus avoids the difficulty in controller design and stability analysis encountered in the traditional finite‐time control for high‐order systems.