Dynamic output feedback control for fast sampling discrete-time singularly perturbed systems

被引：24

作者：

Liu, Wei ^{[1
]}

Wang, Zhiming ^{[1
]}

Dai, Haohui ^{[1
]}

Naz, Mehvish ^{[1
]}

机构：

[1] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2016年 / 10卷 / 15期

基金：

美国国家科学基金会;

关键词：

feedback; control system synthesis; sampling methods; discrete time systems; singularly perturbed systems; linear matrix inequalities; Riccati equations; fast-sampling discrete-time singularly-perturbed systems; sufficient conditions; slow-subsystems; fast-subsystems; controller gains; coefficient matrices; LMI; Riccati-based solutions; composite dynamic output feedback control design; full-order discrete-time singularly-perturbed system stabilisation; H-INFINITY CONTROL; DESIGN;

D O I：

10.1049/iet-cta.2016.0121

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 study is concerned with the dynamic output feedback control problem for fast sampling discrete-time singularly perturbed systems using the singular perturbation approach. Sufficient conditions in terms of linear matrix inequalities (LMIs) are presented to guarantee the existence of a dynamic output feedback controller for the corresponding slow and fast subsystems, respectively. The controller gains and the corresponding coefficient matrices can be obtained via solving the proposed LMIs. Thus, not only the high dimensionality and the ill condition are alleviated, but also the regularity restrictions attached to the Riccati-based solutions are avoided. The theoretical result demonstrates that the composite dynamic output feedback control designed through those of the slow and fast subsystems can stabilise the full-order discrete-time singularly perturbed systems. Finally, two real world practical examples are provided to show the effectiveness of the obtained results.

引用

页码：1782 / 1788

页数：7

共 50 条

[41] Gain-scheduled dynamic output feedback control for discrete-time LPV systems
De Caigny, J.
Camino, J. F.
Oliveira, R. C. L. F.
Peres, P. L. D.
Swevers, J.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (05) : 535 - 558
[42] Linear Discrete-Time Systems - H∞ Dynamic Output-Feedback Control with Preview
Gershon, Eli
INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS (ICINCO 2018), 2020, 613 : 464 - 481
[43] Stability Bound Analysis of Slow Sampling Discrete-Time Singularly Perturbed Systems with Time-Delay
Abdeljawad, R.
Bahri, N.
Ltaief, M.
2017 18TH INTERNATIONAL CONFERENCE ON SCIENCES AND TECHNIQUES OF AUTOMATIC CONTROL AND COMPUTER ENGINEERING (STA), 2017, : 1 - 5
[44] Dynamic Output Feedback Control of the Liouville Equation for Discrete-Time SISO Linear Systems
Bakolas, Efstathios
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (10) : 4268 - 4275
[45] Distributed dynamic output feedback control for discrete-time linear parameter varying systems
Dabiri, Azita
Kulcsar, Balazs
2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 6080 - 6085
[46] Memory Dynamic Output Feedback Control for Discrete-Time Systems in Finite Frequency Domain
Wang, Meng
Liu, Lu
Feng, Gang
Qiu, Jianbin
PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 1112 - 1117
[47] Robust H∞ fuzzy control via dynamic output feedback for discrete-time systems
Lo, JC
Lin, YC
PROCEEDINGS OF THE 2002 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOL 1 & 2, 2002, : 633 - 638
[48] Output Feedback Control of Discrete-Time Systems in Networked Environments
Peng, Chen
Tian, Yu-Chu
Yue, Dong
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 2011, 41 (01): : 185 - 190
[49] Robust output feedback control of nonlinear singularly perturbed systems
Christofides, PD
AUTOMATICA, 2000, 36 (01) : 45 - 52
[50] State estimation of stochastic singularly perturbed discrete-time systems
Kando, Hisashi
Optimal Control Applications and Methods, 1997, 18 (01): : 15 - 28

← 1 2 3 4 5 →