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.
Citation
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." J. Appl. Math. 2013 (SI16) 1 - 19, 2013. https://doi.org/10.1155/2013/150590