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| Received:July 25, 2010Revised:July 15, 2011 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 61273124, 61074038), the Nature Science Foundation of Shandong Province (No. Y2008G04), the China Postdoctoral Science Foundation (No. 2011M501132), the Special Funds for Postdoctoral Innovative Projects of Shandong Province (No. 201103043), the Doctoral Foundation of Taishan University (No. Y11–2–02), and the Project of Shandong Province Higher Education Science and Technology Program (No. J12LN90). |
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| Design of fixed-point smoother algorithm for linear discrete time-delay systems |
| Hongguo ZHAO,Peng CUI,Xiaochun GUO |
| (Postdoctoral Research Station of School of Mathematics, Shandong University; School of Information Science and Technology, Taishan University;School of Control Science and Engineering, Shandong University) |
| Abstract: |
| This paper investigates the fixed-point smoothing problems for linear discrete-time systems with multiple time-delays in the observations. The linear discrete-time systems considered have l + 1 output channels. One is instantaneous observation and the others are delayed. The fixed-point smoothers involving recursive algorithm and non-recursive algorithm are designed by using innovation analysis theory without relying on the system augmentation approach. Also, it is further shown that the design of fixed-point smoother comes down to solving l + 1 Riccati equations with the same dimensions as the original systems. |
| Key words: Fixed-point smoothing Time-delay systems Innovation analysis |
