Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems
This paper presents a novel suboptimal digital tracker for a class of time-delay singular systems. First, some existing techniques are utilized to obtain an equivalent regular time-delay system, which has a direct transmission term from input to output. The equivalent regular time-delay system is im...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/150590 |
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| _version_ | 1832556770376024064 |
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| author | Nien-Tsu Hu Ter-Feng Wu Sendren Sheng-Dun Xu Hsu-Chih Huang |
| author_facet | Nien-Tsu Hu Ter-Feng Wu Sendren Sheng-Dun Xu Hsu-Chih Huang |
| author_sort | Nien-Tsu Hu |
| collection | DOAJ |
| description | This paper presents a novel suboptimal digital tracker for a class of time-delay singular systems. First, some existing techniques are utilized to obtain an equivalent regular time-delay system, which has a direct transmission term from input to output. The equivalent regular time-delay system is important as it enables the optimal control theory to be conveniently combined with the digital redesign approach. The linear quadratic performance index, specified in the continuous-time domain, can be discretized into an equivalent decoupled discrete-time performance index using the newly developed extended delay-free model. Additionally, although the extended delay-free model is large, its advantage is the elimination of all delay terms (which included a new extended state vector), simplifying the proposed approach. As a result, the proposed approach can be applied to a class of time-delay singular systems. An illustrative example demonstrates the effectiveness of the proposed design methodology. |
| format | Article |
| id | doaj-art-b24d8429f7e74fb185707778be5d360c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b24d8429f7e74fb185707778be5d360c2025-02-03T05:44:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/150590150590Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular SystemsNien-Tsu Hu0Ter-Feng Wu1Sendren Sheng-Dun Xu2Hsu-Chih Huang3Integrated Logistical Support Center, Chung-Shan Institute of Science and Technology, Taoyuan 32599, TaiwanDepartment of Electrical Engineering, National Ilan University, Ilan 26047, TaiwanGraduate Institute of Automation and Control, National Taiwan University of Science and Technology, Taipei 10607, TaiwanDepartment of Electrical Engineering, National Ilan University, Ilan 26047, TaiwanThis paper presents a novel suboptimal digital tracker for a class of time-delay singular systems. First, some existing techniques are utilized to obtain an equivalent regular time-delay system, which has a direct transmission term from input to output. The equivalent regular time-delay system is important as it enables the optimal control theory to be conveniently combined with the digital redesign approach. The linear quadratic performance index, specified in the continuous-time domain, can be discretized into an equivalent decoupled discrete-time performance index using the newly developed extended delay-free model. Additionally, although the extended delay-free model is large, its advantage is the elimination of all delay terms (which included a new extended state vector), simplifying the proposed approach. As a result, the proposed approach can be applied to a class of time-delay singular systems. An illustrative example demonstrates the effectiveness of the proposed design methodology.http://dx.doi.org/10.1155/2013/150590 |
| spellingShingle | Nien-Tsu Hu Ter-Feng Wu Sendren Sheng-Dun Xu Hsu-Chih Huang Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems Journal of Applied Mathematics |
| title | Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems |
| title_full | Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems |
| title_fullStr | Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems |
| title_full_unstemmed | Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems |
| title_short | Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems |
| title_sort | novel observer based suboptimal digital tracker for a class of time delay singular systems |
| url | http://dx.doi.org/10.1155/2013/150590 |
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