Finite-time H∞ control for a class of discrete-time nonlinear singular systems

被引：27
|
作者：
Li, Meiqing [1 ]
Sun, Liying [1 ]
Yang, Renming [2 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
[2] Shandong Jiaotong Univ, Sch Informat Sci & Elect Engn, Jinan 250357, Shandong, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 13期
基金：
中国国家自然科学基金;
关键词：
HAMILTONIAN DESCRIPTOR SYSTEMS; STABILIZATION; STABILITY; OBSERVER; UNCERTAINTIES; DELAYS;
D O I：
10.1016/j.jfranklin.2018.05.033
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 paper investigates the finite-time control problems for a class of discrete-time nonlinear singular systems via state undecomposed method. Firstly, the finite-time stabilization problem is discussed for the system under state feedback, and a finite-time stabilization controller is obtained. Then, based on which, the finite-time H-infinity boundedness problem is studied for the system with exogenous disturbances. Finally, an example of population distribution model is presented to illustrate the validity of the proposed controller. Because there is no any constraint for singular matrix E in the paper, controllers can be designed for more discrete-time nonlinear singular systems. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：5384 / 5393
页数：10
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