Reduced order H∞ filter design for discrete time-variant systems

✍ Scribed by Xianggang Yu; Chin S. Hsu

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 142 KB
• Volume: 7
• Category: Article
• ISSN: 1049-8923
• DOI: 10.1002/(sici)1099-1239(199708)7:8<797::aid-rnc243>3.0.co;2-s

✦ Synopsis

This paper addresses the reduced-order H filter design for linear time varying discrete-time systems in which all measurements are not noise-free. The proposed filter has a Luenberger observer structure and its order is np, where n and p are the order of signal systems and the number of measurements, respectively. Several bounded real lemmas are developed and they are the only tools used to establish the reduced-order filter design in this paper. It is shown that the full order a priori and a posteriori filters can be obtained by properly choosing the filter order and parameters based on the reduced-order filter design results. The resultant filters are the same as the known full-order optimal H filters for time-invariant systems. 1997 by John Wiley & Sons, Ltd.