The observer-based linear quadratic sub-optimal digital tracker for analog systems with input and state delays

C. M. Huang, Jason Sheng-Hon Tsai, R. S. Provence, L. S. Shieh

研究成果: Article同行評審

14 引文 斯高帕斯(Scopus)

摘要

This paper presents a new observer-based sub-optimal digital tracker for the continuous-time system with input and state time delays. We directly convert the continuous-time input-state delayed system into an equivalent discrete-time input-state delayed model and its extended discrete-time delay-free model. In addition, we directly discretize the linear quadratic performance index specified in the continuous-time domain into an equivalent decoupled discrete-time performance index using the newly developed extended delay-free model. As a consequence, the well-developed discrete-time optimal control theory for discrete-time delay-free system can be applied to determine the optimal digital tracker for the continuous-time input-state delayed system. When the states of the continuous-time input-state delayed system are not available for measurements, we develope a sub-optimal digital observer for the original continuous-time input-state delayed system using the state-matching digital redesign technique and the digital-to-analog model conversion technique. As a result, the proposed observer-based linear quadratic digital tracker is able to make the output of the digitally controlled continuous-time input-state delayed system sub-optimally track the desired reference signals. An illustrative example is presented to demonstrate the effectiveness of the proposed design methodology.

原文English
頁(從 - 到)197-236
頁數40
期刊Optimal Control Applications and Methods
24
發行號4
DOIs
出版狀態Published - 2003 七月 1

All Science Journal Classification (ASJC) codes

  • 控制與系統工程
  • 軟體
  • 控制和優化
  • 應用數學

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