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

[21] Dynamic Output Feedback Control of Discrete-Time Switched Affine Systems
Xu, Xiaozeng
Li, Yang
Zhang, Hongbin
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2021, 68 (07) : 2523 - 2527
[22] H∞ CONTROL FOR DISCRETE-TIME SINGULARLY PERTURBED SYSTEMS WITH DISTRIBUTIONAL PROPERTIES
Wang, Guoliang
Zhang, Qingling
Bian, Chuanxin
Sreeram, Victor
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2010, 6 (04): : 1781 - 1791
[23] Robust H∞ control for standard discrete-time singularly perturbed systems
Dong, J.
Yang, G.-H.
IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (04): : 1141 - 1148
[24] H∞ Control and ε-Bound Estimation of Discrete-Time Singularly Perturbed Systems
Yang, Chunyu
Zhou, Linna
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, 35 (07) : 2640 - 2654
[25] Fuzzy State Feedback Robust Control for Discrete-time Fuzzy Singularly Perturbed Systems with time-delay
Chen, Jinxiang
2013 10TH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (FSKD), 2013, : 63 - 67
[26] On Output Feedback Multiobjective Control for Singularly Perturbed Systems
Moghadam, Mehdi Ghasem
Beheshti, Mohammad Taghi Hamidi
MATHEMATICAL PROBLEMS IN ENGINEERING, 2011, 2011
[27] On the output feedback control of discrete-time uncertain systems
Andreou, S
Yaz, E
PROCEEDINGS OF THE TWENTY-EIGHTH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY, 1996, : 72 - 75
[28] On Dynamic Output Feedback H∞ Control for Positive Discrete-time Delay Systems
Du, Baozhu
ICINCO: PROCEEDINGS OF THE 16TH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS, VOL 1, 2019, : 760 - 766
[29] A neural stabilizing control for discrete-time nonlinear systems by dynamic output feedback
Liu, Meiqin
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13E : 2961 - 2966
[30] Dynamic Output Feedback Control for Discrete-time Stochastic Nonlinear Systems with Adversaries
Ding, Derui
Wang, Zidong
Dong, Hongli
2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 5428 - 5432

← 1 2 3 4 5 →