Quantized control for nonlinear Markovian jump systems

Ligang Wu; Peng Shi; Fanbiao Li; Michael V. Basin; Yuxin Zhao

doi:10.1109/CDC.2014.7039991

Quantized control for nonlinear Markovian jump systems

Ligang Wu
, Peng Shi
, Fanbiao Li
, Michael V. Basin
, Yuxin Zhao

School of Astronautics

Harbin Engineering University
Harbin Institute of Technology
Universidad Autonoma de Nuevo Leon

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

3 Scopus citations

Abstract

This paper is concerned with the quantized control design problem for a class of nonlinear Markovian jump systems. The sufficient condition for the Markovian jump systems is developed, which guarantees that the corresponding closed-loop systems are stochastically stable and have a prescribed H_- performance. The existence condition for full- and reduced-order dynamic output feedback controllers are provided, and the cone complementarity linearization procedure is employed to cast the controller design problem into a sequential minimization one, which can be solved efficiently by using existing optimization techniques. Finally, an example is presented to show efficiency of the developed approach.

Original language	English
Title of host publication	53rd IEEE Conference on Decision and Control,CDC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3878-3883
Number of pages	6
Edition	February
ISBN (Electronic)	9781479977468
DOIs	https://doi.org/10.1109/CDC.2014.7039991
State	Published - 2014
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: 15 Dec 2014 → 17 Dec 2014

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Number	February
Volume	2015-February
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Country/Territory	United States
City	Los Angeles
Period	15/12/14 → 17/12/14

Access to Document

10.1109/CDC.2014.7039991

Cite this

Wu, L., Shi, P., Li, F., Basin, M. V., & Zhao, Y. (2014). Quantized control for nonlinear Markovian jump systems. In 53rd IEEE Conference on Decision and Control,CDC 2014 (February ed., pp. 3878-3883). Article 7039991 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2014.7039991

@inproceedings{0e1f00932ec44873b682239233ad759c,

title = "Quantized control for nonlinear Markovian jump systems",

abstract = "This paper is concerned with the quantized control design problem for a class of nonlinear Markovian jump systems. The sufficient condition for the Markovian jump systems is developed, which guarantees that the corresponding closed-loop systems are stochastically stable and have a prescribed H- performance. The existence condition for full- and reduced-order dynamic output feedback controllers are provided, and the cone complementarity linearization procedure is employed to cast the controller design problem into a sequential minimization one, which can be solved efficiently by using existing optimization techniques. Finally, an example is presented to show efficiency of the developed approach.",

author = "Ligang Wu and Peng Shi and Fanbiao Li and Basin, \{Michael V.\} and Yuxin Zhao",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 ; Conference date: 15-12-2014 Through 17-12-2014",

year = "2014",

doi = "10.1109/CDC.2014.7039991",

language = "英语",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "February",

pages = "3878--3883",

booktitle = "53rd IEEE Conference on Decision and Control,CDC 2014",

address = "美国",

edition = "February",

}

Wu, L, Shi, P, Li, F, Basin, MV & Zhao, Y 2014, Quantized control for nonlinear Markovian jump systems. in 53rd IEEE Conference on Decision and Control,CDC 2014. February edn, 7039991, Proceedings of the IEEE Conference on Decision and Control, no. February, vol. 2015-February, Institute of Electrical and Electronics Engineers Inc., pp. 3878-3883, 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014, Los Angeles, United States, 15/12/14. https://doi.org/10.1109/CDC.2014.7039991

Quantized control for nonlinear Markovian jump systems. / Wu, Ligang; Shi, Peng; Li, Fanbiao et al.
53rd IEEE Conference on Decision and Control,CDC 2014. February. ed. Institute of Electrical and Electronics Engineers Inc., 2014. p. 3878-3883 7039991 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2015-February, No. February).

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

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AU - Shi, Peng

AU - Li, Fanbiao

AU - Basin, Michael V.

AU - Zhao, Yuxin

PY - 2014

Y1 - 2014

N2 - This paper is concerned with the quantized control design problem for a class of nonlinear Markovian jump systems. The sufficient condition for the Markovian jump systems is developed, which guarantees that the corresponding closed-loop systems are stochastically stable and have a prescribed H- performance. The existence condition for full- and reduced-order dynamic output feedback controllers are provided, and the cone complementarity linearization procedure is employed to cast the controller design problem into a sequential minimization one, which can be solved efficiently by using existing optimization techniques. Finally, an example is presented to show efficiency of the developed approach.

AB - This paper is concerned with the quantized control design problem for a class of nonlinear Markovian jump systems. The sufficient condition for the Markovian jump systems is developed, which guarantees that the corresponding closed-loop systems are stochastically stable and have a prescribed H- performance. The existence condition for full- and reduced-order dynamic output feedback controllers are provided, and the cone complementarity linearization procedure is employed to cast the controller design problem into a sequential minimization one, which can be solved efficiently by using existing optimization techniques. Finally, an example is presented to show efficiency of the developed approach.

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DO - 10.1109/CDC.2014.7039991

M3 - 会议稿件

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T3 - Proceedings of the IEEE Conference on Decision and Control

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BT - 53rd IEEE Conference on Decision and Control,CDC 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014

Y2 - 15 December 2014 through 17 December 2014

ER -

Quantized control for nonlinear Markovian jump systems

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