TY - JOUR
T1 - A novel linear quadratic observer and tracker for the linear sampled data regular system with a direct feedthrough term
T2 - A digital redesign approach
AU - Chen, Chia Hsing
AU - Tsai, Jason S.H.
AU - Lin, Ming Jer
AU - Guo, Shu Mei
AU - Shieh, Leang San
N1 - Funding Information:
This work was supported by the National Science Council of Republic of China under contracts NSC99-2221-E-006-206-MY3 and NSC98-2221-E-006-156-MY3.
PY - 2013/3
Y1 - 2013/3
N2 - This paper develops a novel linear quadratic observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. At the beginning, we use some existing techniques to decompose the singular system into an equivalent regular system which has a direct transmission term from input to output. Then, based on this equivalent regular system, a high-gain optimal linear quadratic analogue observer and tracker is proposed, so that it can effectively induce a high-quality performance on the trajectory-tracking design and the state estimation. Besides, the prediction-based digital redesign method is utilized to obtain a relatively low-gain and implementable digital tracker and observer from the theoretically well-designed high-gain analogue observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. Several illustrated examples are given to demonstrate the performance and effectiveness of the proposed method.
AB - This paper develops a novel linear quadratic observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. At the beginning, we use some existing techniques to decompose the singular system into an equivalent regular system which has a direct transmission term from input to output. Then, based on this equivalent regular system, a high-gain optimal linear quadratic analogue observer and tracker is proposed, so that it can effectively induce a high-quality performance on the trajectory-tracking design and the state estimation. Besides, the prediction-based digital redesign method is utilized to obtain a relatively low-gain and implementable digital tracker and observer from the theoretically well-designed high-gain analogue observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. Several illustrated examples are given to demonstrate the performance and effectiveness of the proposed method.
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U2 - 10.1093/imamci/dns015
DO - 10.1093/imamci/dns015
M3 - Article
AN - SCOPUS:84875205462
VL - 30
SP - 129
EP - 154
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
SN - 0265-0754
IS - 1
ER -