Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems

Nien-Tsu Hu, Ter-Feng Wu, Sendren Sheng-Dun Xu and Hsu-Chih Huang

Journal of Applied Mathematics, 2013, vol. 2013, 1-19

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:150590

DOI: 10.1155/2013/150590

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