Stability of quantized time-delay nonlinear systems: a Lyapunov-Krasowskii-functional approach

被引：87
作者：
De Persis, Claudio [1 ,2 ]
Mazenc, Frederic [3 ]
机构：
[1] Univ Twente, Fac Engn Technol, NL-7500 AE Enschede, Netherlands
[2] Univ Rome, Dipartimento Informat & Sistemist, I-00185 Rome, Italy
[3] CNRS Supelec, Projet INRIA DISCO, F-91192 Gif Sur Yvette, France
来源：
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS | 2010年 / 21卷 / 04期
关键词：
Nonlinear systems; Time-delay systems; Quantized systems; Switched systems; Hysteresis; DIFFERENTIAL EQUATIONS; STABILIZATION; THEOREMS; INPUT; ISS;
D O I：
10.1007/s00498-010-0048-1
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Lyapunov-Krasowskii functionals are used to design quantized control laws for nonlinear continuous-time systems in the presence of constant delays in the input. The quantized control law is implemented via hysteresis to avoid chattering. Under appropriate conditions, our analysis applies to stabilizable nonlinear systems for any value of the quantization density. The resulting quantized feedback is parametrized with respect to the quantization density. Moreover, the maximal allowable delay tolerated by the system is characterized as a function of the quantization density.
引用
收藏
页码：337 / 370
页数：34
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