Global stabilization of high-order nonlinear systems under multi-rate sampled-data control

被引：16

作者：

Jia, Jinping ^{[1
,3
]}

Chen, Weisheng ^{[2
]}

Dai, Hao ^{[2
]}

Li, Jing ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China

[2] Xidian Univ, Sch Aerosp Sci & Technol, Xian 710071, Shaanxi, Peoples R China

[3] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China

来源：

NONLINEAR DYNAMICS | 2018年 / 94卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Sampled-data control; High-order nonlinear systems; Multi-rate sampling; Global stability; OUTPUT-FEEDBACK STABILIZATION; FINITE-TIME STABILIZATION; LOWER-TRIANGULAR SYSTEMS; POWER INTEGRATOR; ADAPTIVE-CONTROL; NEURAL-NETWORKS; STABILITY; FRAMEWORK;

D O I：

10.1007/s11071-018-4501-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper studies the sampled-data control problem for a class of high-order nonlinear systems. Based on exact discrete-time equivalent model of the sampled-data system, a multi-rate sampled-data controller with the form of a power series expansion is designed to achieve the global asymptotic stability of the closed-loop system under some assumptions. Approximate solutions of the proposed controller are proved to be effective by a theoretical analysis. The results show that, compared with the emulated control scheme, the approximate controllers allow considering larger sampling periods and enlarge the domain of attraction for a given sampling period. Finally, a simulation example is given to show the effectiveness of the proposed control scheme.

引用

页码：2441 / 2453

页数：13

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