CONTROL OF SECOND ORDER STRICTLY PROPER UNSTABLE SYSTEMS WITH TIME DELAY

被引：0

作者：

Novella-Rodriguez, D. F. ^{[1
]}

del Muro-Cuellar, B. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Unidad Culhuacan, Escuela Super Ingn Mecan & Elect, Mexico City 04430, DF, Mexico

来源：

REVISTA MEXICANA DE INGENIERIA QUIMICA | 2011年 / 10卷 / 03期

关键词：

time-delay; unstable systems; stabilization; observer; linear systems; SCHEME;

D O I：

暂无

中图分类号：

O69 [应用化学];

学科分类号：

081704 ;

摘要：

This paper considers the stabilization and control of linear time invariant systems containing two unstable poles, a "stable". zero and time delay. It is well known that time delays complicate the stability analysis and the design of appropriate control strategies. For this reason, we propose a simple control strategy based on an observer system with the aim of stabilize this class of systems. Necessary and sufficient conditions are stated in order to guarantee the stability of the closed loop system. Once the stability conditions are satisfied, only the plant model and four proportional gains are enough in order to implement the proposed control strategy. Finally, some examples are presented in order to illustrate the proposed control strategy performance, showing some robustness when uncertainties are presented in the time delay value.

引用

页码：551 / 559

页数：9

共 50 条

[1] Model Reference Control of Unstable Second-order Systems with Time Delay
Santosh, Simi
Chidambaram, M.
[J]. INDIAN CHEMICAL ENGINEER, 2013, 55 (02) : 104 - 111
[2] Modeling of Stable and Unstable Second Order Systems with Time Delay
Bajarangbali
Majhi, Somanath
[J]. 2013 ANNUAL IEEE INDIA CONFERENCE (INDICON), 2013,
[3] Second order steady modes in the relay control systems with time delay
Fridman, L
Fridman, E
Shustin, E
[J]. 1996 IEEE INTERNATIONAL WORKSHOP ON VARIABLE STRUCTURE SYSTEMS - VSS '96, PROCEEDINGS, 1996, : 108 - 110
[4] PID control of unstable time delay systems
Valentine, CC
Chidambaram, M
[J]. CHEMICAL ENGINEERING COMMUNICATIONS, 1997, 162 : 63 - 74
[5] Explicit bounds for guaranteed stabilization by PID control of second-order unstable delay systems
Ma, Dan
Chen, Jianqi
Liu, Andong
Chen, Jie
Niculescu, Silviu-Iulian
[J]. AUTOMATICA, 2019, 100 : 407 - 411
[6] Lower Bounds on Delay Margin of Second-Order Unstable Systems
Ma, Dan
Chen, Jianqi
Liu, Andong
Chen, Jie
Niculescu, Silviu-Iulian
[J]. IFAC PAPERSONLINE, 2018, 51 (14): : 242 - 247
[7] Strictly Passive Control for Time-Delay Singular Systems
Guo Xiuhui
Wang Xianjie
Li Qin
[J]. PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 2333 - 2338
[8] Exponential stability of second order time delay semilinear systems with bilinear control
Essamet, M.
El Harraki, I.
Kadrani, A.
[J]. JOURNAL OF CONTROL AND DECISION, 2024,
[9] Necessary and Sufficient Conditions on Stabilization of Unstable Second-Order Delay Systems under PD Control
Sun, Li
Ma, Dan
Chen, Chao
[J]. PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 5548 - 5553
[10] Tradeoff between Delay Robustness and Tracking Performance by PID Control: Second-Order Unstable Systems
Chen, Jianqi
Ma, Dan
Xu, Yong
Chen, Jie
[J]. 2020 59TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2020, : 5891 - 5896

← 1 2 3 4 5 →