Mixed H2/H∞ control for networked control systems (NCSs) with Markovian packet-loss

Jie Fu; Yaping Dai

doi:10.1007/978-3-642-05250-7_59

Mixed H₂/H_∞ control for networked control systems (NCSs) with Markovian packet-loss

Jie Fu^*, Yaping Dai

^*Corresponding author for this work

School of Automation

Beijing Institute of Technology

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

2 Citations (Scopus)

Abstract

This paper addresses the mixed H₂/H_∞ control design problem of networked control systems(NCSs) with Markovian packet loss. Under the assumption that the packet loss is bounded and governed by Markov chains, a packet-loss dependent stabilizing controller is found by minimizing an upper bound of H₂ norm, under the restriction of a pre-specified H_∞ norm bound. By transforming the stability criterion into an optimization problem, the mean-square stabilizing packet-loss dependent controller is thus obtained. The linear matrix inequality (LMI) approach is employed to calculate the robust controller for packet loss, with special respect to the uncertainty in the transition Markov probability matrix. Illustrative numerical examples are presented to demonstrate the effectiveness of derived methods.

Original language	English
Title of host publication	Web Information Systems and Mining - International Conference, WISM 2009, Proceedings
Pages	563-575
Number of pages	13
DOIs	https://doi.org/10.1007/978-3-642-05250-7_59
Publication status	Published - 2009
Event	International Conference on Web Information Systems and Mining, WISM 2009 - Shanghai, China Duration: 7 Nov 2009 → 8 Nov 2009

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	5854 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	International Conference on Web Information Systems and Mining, WISM 2009
Country/Territory	China
City	Shanghai
Period	7/11/09 → 8/11/09

Keywords

Convex optimization
LMIs
Lyapunov functions
Markov jump linear systems
Networked control systems
Packet loss
Robust control

Access to Document

10.1007/978-3-642-05250-7_59

Cite this

Fu, J., & Dai, Y. (2009). Mixed H₂/H_∞ control for networked control systems (NCSs) with Markovian packet-loss. In Web Information Systems and Mining - International Conference, WISM 2009, Proceedings (pp. 563-575). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5854 LNCS). https://doi.org/10.1007/978-3-642-05250-7_59

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title = "Mixed H2/H∞ control for networked control systems (NCSs) with Markovian packet-loss",

abstract = "This paper addresses the mixed H2/H∞ control design problem of networked control systems(NCSs) with Markovian packet loss. Under the assumption that the packet loss is bounded and governed by Markov chains, a packet-loss dependent stabilizing controller is found by minimizing an upper bound of H2 norm, under the restriction of a pre-specified H∞ norm bound. By transforming the stability criterion into an optimization problem, the mean-square stabilizing packet-loss dependent controller is thus obtained. The linear matrix inequality (LMI) approach is employed to calculate the robust controller for packet loss, with special respect to the uncertainty in the transition Markov probability matrix. Illustrative numerical examples are presented to demonstrate the effectiveness of derived methods.",

keywords = "Convex optimization, LMIs, Lyapunov functions, Markov jump linear systems, Networked control systems, Packet loss, Robust control",

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Fu, J & Dai, Y 2009, Mixed H₂/H_∞ control for networked control systems (NCSs) with Markovian packet-loss. in Web Information Systems and Mining - International Conference, WISM 2009, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 5854 LNCS, pp. 563-575, International Conference on Web Information Systems and Mining, WISM 2009, Shanghai, China, 7/11/09. https://doi.org/10.1007/978-3-642-05250-7_59

Mixed H₂/H_∞ control for networked control systems (NCSs) with Markovian packet-loss. / Fu, Jie; Dai, Yaping.
Web Information Systems and Mining - International Conference, WISM 2009, Proceedings. 2009. p. 563-575 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5854 LNCS).

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

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N2 - This paper addresses the mixed H2/H∞ control design problem of networked control systems(NCSs) with Markovian packet loss. Under the assumption that the packet loss is bounded and governed by Markov chains, a packet-loss dependent stabilizing controller is found by minimizing an upper bound of H2 norm, under the restriction of a pre-specified H∞ norm bound. By transforming the stability criterion into an optimization problem, the mean-square stabilizing packet-loss dependent controller is thus obtained. The linear matrix inequality (LMI) approach is employed to calculate the robust controller for packet loss, with special respect to the uncertainty in the transition Markov probability matrix. Illustrative numerical examples are presented to demonstrate the effectiveness of derived methods.

AB - This paper addresses the mixed H2/H∞ control design problem of networked control systems(NCSs) with Markovian packet loss. Under the assumption that the packet loss is bounded and governed by Markov chains, a packet-loss dependent stabilizing controller is found by minimizing an upper bound of H2 norm, under the restriction of a pre-specified H∞ norm bound. By transforming the stability criterion into an optimization problem, the mean-square stabilizing packet-loss dependent controller is thus obtained. The linear matrix inequality (LMI) approach is employed to calculate the robust controller for packet loss, with special respect to the uncertainty in the transition Markov probability matrix. Illustrative numerical examples are presented to demonstrate the effectiveness of derived methods.

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KW - LMIs

KW - Lyapunov functions

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Fu J, Dai Y. Mixed H₂/H_∞ control for networked control systems (NCSs) with Markovian packet-loss. In Web Information Systems and Mining - International Conference, WISM 2009, Proceedings. 2009. p. 563-575. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-05250-7_59