## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2013, Special Issue (2013), Article ID 150590, 19 pages.

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

#### 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.

#### Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 150590, 19 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394806101

Digital Object Identifier
doi:10.1155/2013/150590

Mathematical Reviews number (MathSciNet)
MR3138981

Zentralblatt MATH identifier
06950534

#### Citation

Hu, Nien-Tsu; Wu, Ter-Feng; Xu, Sendren Sheng-Dun; Huang, Hsu-Chih. Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems. J. Appl. Math. 2013, Special Issue (2013), Article ID 150590, 19 pages. doi:10.1155/2013/150590. https://projecteuclid.org/euclid.jam/1394806101

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