Constrained model predictive control of networked systems with time-invarying input delay

Li Dai; Yuanqing Xia; Mengyin Fu

Constrained model predictive control of networked systems with time-invarying input delay

Li Dai^*, Yuanqing Xia, Mengyin Fu

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The problem of constrained infinite-horizon model predictive control for NCSs is studied in this paper. By using linear matrix inequality (LMI) approach, the non-PDC control law is designed for nonlinear system which is represented by Takagi-Sugeno (T-S) fuzzy model under consideration of effect of network-induced constant delay between controller and actuator. Based on parameter-dependent Lyapunov function, a new sufficient condition is derived for the existence of non-PDC fuzzy controller which can guarantee that the resulting closed-loop fuzzy system is asymptotically stable. In addition, input and output constraints of the fuzzy system are satisfied with the feedback controller. The numerical example is given to illustrate the efficiency of the theoretic results.

Original language	English
Title of host publication	Proceedings of the 31st Chinese Control Conference, CCC 2012
Pages	5867-5872
Number of pages	6
Publication status	Published - 2012
Event	31st Chinese Control Conference, CCC 2012 - Hefei, China Duration: 25 Jul 2012 → 27 Jul 2012

Publication series

Name	Chinese Control Conference, CCC
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	31st Chinese Control Conference, CCC 2012
Country/Territory	China
City	Hefei
Period	25/07/12 → 27/07/12

Keywords

Linear matrix inequality (LMI)
Model predictive control (MPC)
Networked control systems (NCSs)
T-S fuzzy system
Time-Delay

Cite this

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title = "Constrained model predictive control of networked systems with time-invarying input delay",

abstract = "The problem of constrained infinite-horizon model predictive control for NCSs is studied in this paper. By using linear matrix inequality (LMI) approach, the non-PDC control law is designed for nonlinear system which is represented by Takagi-Sugeno (T-S) fuzzy model under consideration of effect of network-induced constant delay between controller and actuator. Based on parameter-dependent Lyapunov function, a new sufficient condition is derived for the existence of non-PDC fuzzy controller which can guarantee that the resulting closed-loop fuzzy system is asymptotically stable. In addition, input and output constraints of the fuzzy system are satisfied with the feedback controller. The numerical example is given to illustrate the efficiency of the theoretic results.",

keywords = "Linear matrix inequality (LMI), Model predictive control (MPC), Networked control systems (NCSs), T-S fuzzy system, Time-Delay",

author = "Li Dai and Yuanqing Xia and Mengyin Fu",

year = "2012",

language = "English",

isbn = "9789881563811",

series = "Chinese Control Conference, CCC",

pages = "5867--5872",

booktitle = "Proceedings of the 31st Chinese Control Conference, CCC 2012",

note = "31st Chinese Control Conference, CCC 2012 ; Conference date: 25-07-2012 Through 27-07-2012",

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TY - GEN

T1 - Constrained model predictive control of networked systems with time-invarying input delay

AU - Dai, Li

AU - Xia, Yuanqing

AU - Fu, Mengyin

PY - 2012

Y1 - 2012

N2 - The problem of constrained infinite-horizon model predictive control for NCSs is studied in this paper. By using linear matrix inequality (LMI) approach, the non-PDC control law is designed for nonlinear system which is represented by Takagi-Sugeno (T-S) fuzzy model under consideration of effect of network-induced constant delay between controller and actuator. Based on parameter-dependent Lyapunov function, a new sufficient condition is derived for the existence of non-PDC fuzzy controller which can guarantee that the resulting closed-loop fuzzy system is asymptotically stable. In addition, input and output constraints of the fuzzy system are satisfied with the feedback controller. The numerical example is given to illustrate the efficiency of the theoretic results.

AB - The problem of constrained infinite-horizon model predictive control for NCSs is studied in this paper. By using linear matrix inequality (LMI) approach, the non-PDC control law is designed for nonlinear system which is represented by Takagi-Sugeno (T-S) fuzzy model under consideration of effect of network-induced constant delay between controller and actuator. Based on parameter-dependent Lyapunov function, a new sufficient condition is derived for the existence of non-PDC fuzzy controller which can guarantee that the resulting closed-loop fuzzy system is asymptotically stable. In addition, input and output constraints of the fuzzy system are satisfied with the feedback controller. The numerical example is given to illustrate the efficiency of the theoretic results.

KW - Linear matrix inequality (LMI)

KW - Model predictive control (MPC)

KW - Networked control systems (NCSs)

KW - T-S fuzzy system

KW - Time-Delay

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M3 - Conference contribution

AN - SCOPUS:84873556607

SN - 9789881563811

T3 - Chinese Control Conference, CCC

SP - 5867

EP - 5872

BT - Proceedings of the 31st Chinese Control Conference, CCC 2012

T2 - 31st Chinese Control Conference, CCC 2012

Y2 - 25 July 2012 through 27 July 2012

ER -

Constrained model predictive control of networked systems with time-invarying input delay

Abstract

Publication series

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Keywords

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