Prescribed-Time Stabilization of Controllable Planar Systems Using Switched State Feedback

被引：19

作者：

Verdes Kairuz, Ramon, I ^{[1
]}

Orlov, Yury ^{[2
]}

Aguilar, Luis T. ^{[1
]}

机构：

[1] Inst Politecn Nacl CITEDI, Tijuana 22435, Mexico

[2] Mexican Sci & Adv Studies Ctr Ensenada, Dept Elect & Telecommun, Ensenada 22860, Baja California, Mexico

来源：

IEEE CONTROL SYSTEMS LETTERS | 2021年 / 5卷 / 06期

关键词：

Switches; Trajectory; Tuning; Closed loop systems; State feedback; Convergence; Robustness; Prescribed– time stabilization; robust control; time– varying systems; variable structure systems; ORDER;

D O I：

10.1109/LCSYS.2020.3046682

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A novel switched state feedback is proposed to stabilize a planar controllable system in prescribed time regardless of whichever uniformly bounded external disturbance affects the system. The approach is based on a successive application of time-varying linear feedback synthesis and twisting controller design. The underlying strategy is to utilize globally stabilizing non-autonomous linear feedback so that the system trajectories enter an arbitrarily small domain of attraction as fast as desired regardless of initial conditions and then switch to the twisting controller that settles the trajectories from the pre-specified attraction domain at the origin in prescribed time. Tuning rules to achieve the desired settling time are explicitly derived and illustrated in an experimental study of a simple pendulum to track a reference trajectory with periodic velocity jumps.

引用

页码：2048 / 2053

页数：6

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