Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty

The problem of robust H8 guaranteed control for the descriptor systems with time-delay and parameter uncertainty is considered. A sufficient condition for the existence of non-fragile H8 controller is presented in terms of linear matrix inequality such that the resulting closed-loop system is robust...

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Bibliographic Details
Main Authors: Liu, L., Zhang, G., Zuo, Z., Liu, Wan-quan
Other Authors: Li Qui
Format: Conference Paper
Published: IEEE explore 2009
Subjects:
Online Access:http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5276254
http://hdl.handle.net/20.500.11937/35914
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author Liu, L.
Zhang, G.
Zuo, Z.
Liu, Wan-quan
author2 Li Qui
author_facet Li Qui
Liu, L.
Zhang, G.
Zuo, Z.
Liu, Wan-quan
author_sort Liu, L.
building Curtin Institutional Repository
collection Online Access
description The problem of robust H8 guaranteed control for the descriptor systems with time-delay and parameter uncertainty is considered. A sufficient condition for the existence of non-fragile H8 controller is presented in terms of linear matrix inequality such that the resulting closed-loop system is robustly stable and guarantees H8 performance index. It is proved that the condition also satisfies the requirement of guaranteed cost control and an upper bound on the given cost function can be given. Furthermore, a design method of the optimal H8 guaranteed cost control is given against the constantinitial value. If the H8 performance index and the upper bound are optimized by a series of proportion, the relationship of them can be derived. A numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results.
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format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T08:43:22Z
publishDate 2009
publisher IEEE explore
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spelling curtin-20.500.11937-359142017-10-02T02:27:47Z Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty Liu, L. Zhang, G. Zuo, Z. Liu, Wan-quan Li Qui LMIs H8 Guaranteed Cost Uncertainty Time-Delay Descriptor Systems - Non-Fragile The problem of robust H8 guaranteed control for the descriptor systems with time-delay and parameter uncertainty is considered. A sufficient condition for the existence of non-fragile H8 controller is presented in terms of linear matrix inequality such that the resulting closed-loop system is robustly stable and guarantees H8 performance index. It is proved that the condition also satisfies the requirement of guaranteed cost control and an upper bound on the given cost function can be given. Furthermore, a design method of the optimal H8 guaranteed cost control is given against the constantinitial value. If the H8 performance index and the upper bound are optimized by a series of proportion, the relationship of them can be derived. A numerical example is provided to demonstrate the effectiveness and feasibility of the proposed results. 2009 Conference Paper http://hdl.handle.net/20.500.11937/35914 http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5276254 IEEE explore fulltext
spellingShingle LMIs
H8 Guaranteed Cost
Uncertainty
Time-Delay Descriptor Systems
- Non-Fragile
Liu, L.
Zhang, G.
Zuo, Z.
Liu, Wan-quan
Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty
title Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty
title_full Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty
title_fullStr Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty
title_full_unstemmed Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty
title_short Robust H8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty
title_sort robust h8 guaranteed cost control for descriptor systems with time-delay and parameter-uncertainty
topic LMIs
H8 Guaranteed Cost
Uncertainty
Time-Delay Descriptor Systems
- Non-Fragile
url http://ieeexplore.ieee.org/search/srchabstract.jsp?tp=&arnumber=5276254
http://hdl.handle.net/20.500.11937/35914