Global Stabilization by Memoryless Feedback for Nonlinear Systems With a Limited Input Delay and Large State Delays

被引：32

作者：

Zhao, Congran ^{[1
]}

Lin, Wei ^{[2
]}

机构：

[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China

[2] Case Western Reserve Univ, Dept Elect Comp & Syst Engn, Cleveland, OH 44106 USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 08期

基金：

美国国家科学基金会;

关键词：

Delays; Nonlinear systems; Output feedback; State feedback; Closed loop systems; Linear systems; Delays in the state and input; feedback domination; inverse dynamics; Lyapunov-Krasovskii method; memoryless state; output feedback; OUTPUT LINEARIZATION; DESIGN;

D O I：

10.1109/TAC.2020.3021053

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article studies the problem of global asymptotic stabilization (GAS) by memoryless state and/or output feedback for a family of nonlinear systems with delays in the state and input. Under a linear growth condition, together with the lower-triangular bounding requirement, it is proved that GAS of the time-delay nonlinear system under consideration is achievable by memoryless state and output feedback, respectively, as long as the input delay is limited. With the aid of the Lyapunov-Krasovskii stability theorem and the feedback domination design approach, we construct, step-by-step, a set of Lyapunov-Krasovskii functionals and memoryless state and/or output feedback controllers, achieving GAS of the closed-loop systems with delays. Extensions to nonlinear systems with inverse dynamics are also included.

引用

页码：3702 / 3709

页数：8

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