Dissipative Approach in Control Design for Linear Discrete-time Positive Systems

被引：0

作者：

Krokavec, Dusan ^{[1
]}

Filasova, Anna ^{[1
]}

机构：

[1] Tech Univ Kosice, Fac Elect Engn & Informat, Dept Cybernet & Artificial Intelligence, Letna 9-B, Kosice 04200, Slovakia

来源：

2019 12TH ASIAN CONTROL CONFERENCE (ASCC) | 2019年

关键词：

STABILITY; STABILIZATION;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The linear matrix inequalities formulation is proposed to discrete-time linear positive system control design, mounting system matrix structure constraints into design conditions. Coupling together the set of linear matrix inequalities warranting the system positive structure, and the additional inequality guaranteing asymptotic stability of the controlled system, the design conditions are outlined to construct the positive closed-loop scheme with a state-feedback positive control law gain. Using the proposed method, the closed-loop system state, after reaching it, remains in an ellipsoidal positively invariant set. The proposed approach is numerically illustrated.

引用

页码：173 / 178

页数：6

共 50 条

[21] Robust dissipative control for a class of uncertain linear discrete-time systems with time-delay
College of Electric, Information and Automation, Qufu Normal University, Rizhao 276826, China
Kong Zhi Li Lun Yu Ying Yong, 2006, 3 (443-448):
[22] Dissipative filtering for linear discrete-time systems via LMI
Li, Chun-Jie
An, Hai-Yi
Feng, Yi-Fu
CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 3866 - +
[23] Reduced Order Positive Filter Design for Positive Uncertain Discrete-Time Linear Systems
Spagolla, Amanda
Morais, Cecilia F.
Oliveira, Ricardo C. L. F.
Peres, Pedro L. D.
IEEE CONTROL SYSTEMS LETTERS, 2022, 6 : 1148 - 1153
[24] Design of Positive Interval Observers for Strictly Positive Uncertain Discrete-time Linear Systems
Krokavec, D.
Filasova, A.
2020 7TH INTERNATIONAL CONFERENCE ON CONTROL, DECISION AND INFORMATION TECHNOLOGIES (CODIT'20), VOL 1, 2020, : 409 - 414
[25] Linear time logic control of discrete-time linear systems
Tabuada, Paulo
Pappas, George J.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (12) : 1862 - 1877
[26] Estimator design of discrete-time switched positive linear systems with average dwell time
Zhao, Xudong
Yu, Zhandong
Yang, Xuebo
Li, Hongyi
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (01): : 579 - 588
[27] CONTROL OF LINEAR DISCRETE-TIME PERIODIC-SYSTEMS - A DECENTRALIZED CONTROL APPROACH
YAN, WY
BITMEAD, RR
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (10) : 1644 - 1648
[28] On Unknown-input Observer Design for Linear Discrete-time Positive Systems
Krokavec, Dusan
Filasova, Anna
2018 13TH APCA INTERNATIONAL CONFERENCE ON CONTROL AND SOFT COMPUTING (CONTROLO), 2018, : 49 - 54
[29] Limiting Interval Kalman Filter Design for Linear Discrete-time Positive Systems
Krokavec, Dusgan
Filasova, Anna
2020 INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND DIAGNOSIS (ICCAD), 2020, : 38 - 43
[30] Control co-design for discrete-time switched linear systems
Fiacchini, Mirko
Tarbouriech, Sophie
AUTOMATICA, 2017, 82 : 181 - 186

← 1 2 3 4 5 →