Robust mode delay-dependent ℋ∞ control of discrete-time systems with random communication delays
Robust mode delay-dependent ℋ∞ control of discrete-time systems with random communication delays
- Author(s): S. Chae ; F. Rasool ; S.K. Nguang ; A. Swain
- DOI: 10.1049/iet-cta.2009.0096
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- Author(s): S. Chae 1 ; F. Rasool 1 ; S.K. Nguang 1 ; A. Swain 1
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View affiliations
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Affiliations:
1: The Department of Electrical and Computer Engineering, The University of Auckland, Auckland, New Zealand
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Affiliations:
1: The Department of Electrical and Computer Engineering, The University of Auckland, Auckland, New Zealand
- Source:
Volume 4, Issue 6,
June 2010,
p.
936 – 944
DOI: 10.1049/iet-cta.2009.0096 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study considers stability and robust mode delay-dependent ℋ∞ controller design for discrete-time systems with random communication delays. Communication delays between sensors and controllers are modelled by a finite state Markov process. Based on Lyapunov–Krasovskii functional, a novel methodology for designing a mode delay-dependent state feedback controller has been proposed. The authors also show that the existing delay-dependent approach is a special case of the mode delay-dependent approach proposed in this study. The mode delay-dependent controller is obtained by solving linear matrix inequality optimisation problems using the cone complementarity linearisation algorithm. The effectiveness of the proposed design methodology is verified by a numerical example.
Inspec keywords: delays; control system synthesis; H∞ control; linear matrix inequalities; discrete time systems; linearisation techniques; state feedback; Lyapunov methods; Markov processes; optimisation; robust control
Other keywords:
Subjects: Stability in control theory; Discrete control systems; Distributed parameter control systems; Optimal control; Markov processes; Linear algebra (numerical analysis); Optimisation techniques; Control system analysis and synthesis methods
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