Observer-Based Smith Prediction Scheme for Unstable Plus Time Delay Processes
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- 作者：Basilio del-Muro-Cuellar ; Martí ; n Velasco-Villa ; Omar Jimé ; nez-Ramí ; rez ; Guillermo Ferná ; ndez-Anaya ; José ; Á ; lvarez-Ramí ; rez
- 刊名：Industrial & Engineering Chemistry Research
- 出版年：2007
- 出版时间：July 4, 2007
- 年：2007
- 卷：46
- 期：14
- 页码：4906 - 4913
- 全文大小：141K
- 年卷期：v.46,no.14(July 4, 2007)
- ISSN：1520-5045
文摘
This work considers the stabilization problem for unstable linear input-delay systems. The main idea of thepaper is to use a finite-dimensional approximation for the delay operator, which is based on non-overlappingpartitions of the time delay. Subsequently, each individual delay is approximated by means of a classicalPade approximation, where the overall approximation results in a high-order Pade approximation that convergesto the original delay operator. By departing from a state-space realization of the approximate process, a linearobserver is used to estimate the delay-free output, which is used within a compensation scheme to stabilizethe process output. The resulting control strategy has the structure of an observer-based Smith predictionscheme. Numerical results on three examples show that (i) the finer the time delay partition, the better thecontrol performance and (ii) high-order compensators can be required to stabilize certain unstable processes.