H∞ control for multirate sampled-data system with time-delay

Xia Zhao; Yu Yao; Fenghua He; Fanwei Meng

H_∞ control for multirate sampled-data system with time-delay

Xia Zhao^*
, Yu Yao
, Fenghua He
, Fanwei Meng

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

3 Scopus citations

Abstract

In this paper, we study H_∞ control for multirate sampled-data system with time-delay. In allusion to the problems of time-delay and multirate sampling, we describe the system with a time-varying jump system characterization. Then basing on the technique of continuous lifting, the hybrid, linear, time-varying, jump system is isometrically mapped to a discrete-time, linear, time-varying system with infinite-dimensional input-output spaces. Finally by making use of the definition of the system function for a discrete-time, time-varying system and the property of symplectic pair, the infinite-dimensional system is transformed to an equivalent discrete-time system with finite-dimensional input-output spaces which can be disposed with well developed H_∞ control theory. As a result, the proposed design method can solve H_∞ control problem for multirate sampled-data system with time-delay.

Original language	English
Title of host publication	Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002
Publisher	Nanyang Technological University
Pages	904-909
Number of pages	6
ISBN (Print)	9810483643, 9789810483647
State	Published - 2002
Event	7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002 - Marine Mandarin, Singapore Duration: 2 Dec 2002 → 5 Dec 2002

Publication series

Name	Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002
Volume	2

Conference

Conference	7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002
Country/Territory	Singapore
City	Marine Mandarin
Period	2/12/02 → 5/12/02

Keywords

Jump system
Lifting technique
Multirate sampled-data system
Symplectic pair
Time-delay

Cite this

Zhao, X., Yao, Y., He, F., & Meng, F. (2002). H_∞ control for multirate sampled-data system with time-delay. In Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002 (pp. 904-909). (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002; Vol. 2). Nanyang Technological University.

Zhao, Xia ; Yao, Yu ; He, Fenghua et al. / H_∞ control for multirate sampled-data system with time-delay. Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002. Nanyang Technological University, 2002. pp. 904-909 (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002).

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title = "H∞ control for multirate sampled-data system with time-delay",

abstract = "In this paper, we study H∞ control for multirate sampled-data system with time-delay. In allusion to the problems of time-delay and multirate sampling, we describe the system with a time-varying jump system characterization. Then basing on the technique of continuous lifting, the hybrid, linear, time-varying, jump system is isometrically mapped to a discrete-time, linear, time-varying system with infinite-dimensional input-output spaces. Finally by making use of the definition of the system function for a discrete-time, time-varying system and the property of symplectic pair, the infinite-dimensional system is transformed to an equivalent discrete-time system with finite-dimensional input-output spaces which can be disposed with well developed H∞ control theory. As a result, the proposed design method can solve H∞ control problem for multirate sampled-data system with time-delay.",

keywords = "Jump system, Lifting technique, Multirate sampled-data system, Symplectic pair, Time-delay",

author = "Xia Zhao and Yu Yao and Fenghua He and Fanwei Meng",

year = "2002",

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series = "Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002",

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booktitle = "Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002",

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note = "7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002 ; Conference date: 02-12-2002 Through 05-12-2002",

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Zhao, X, Yao, Y, He, F & Meng, F 2002, H_∞ control for multirate sampled-data system with time-delay. in Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002. Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002, vol. 2, Nanyang Technological University, pp. 904-909, 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002, Marine Mandarin, Singapore, 2/12/02.

H_∞ control for multirate sampled-data system with time-delay. / Zhao, Xia; Yao, Yu; He, Fenghua et al.
Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002. Nanyang Technological University, 2002. p. 904-909 (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002; Vol. 2).

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

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AB - In this paper, we study H∞ control for multirate sampled-data system with time-delay. In allusion to the problems of time-delay and multirate sampling, we describe the system with a time-varying jump system characterization. Then basing on the technique of continuous lifting, the hybrid, linear, time-varying, jump system is isometrically mapped to a discrete-time, linear, time-varying system with infinite-dimensional input-output spaces. Finally by making use of the definition of the system function for a discrete-time, time-varying system and the property of symplectic pair, the infinite-dimensional system is transformed to an equivalent discrete-time system with finite-dimensional input-output spaces which can be disposed with well developed H∞ control theory. As a result, the proposed design method can solve H∞ control problem for multirate sampled-data system with time-delay.

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