A novel linear quadratic observer and tracker for the linear sampled data regular system with a direct feedthrough term: a digital redesign approach

作者：Chen Chia Hsing; Tsai Jason S H^*; Lin Ming Jer; Guo Shu Mei; Shieh Leang San

来源：IMA Journal of Mathematical Control and Information, 2013, 30(1): 129-154.

DOI：10.1093/imamci/dns015

• singular system
• tracker
• observer
• digital redesign

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.

• 出版日期2013-3