Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
Volume 65, Issue 9, Pages 3005-3013Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSI.2018.2824315
Keywords
Finite frequency; uncertain discrete-time systems; memory filters; robust filtering
Categories
Funding
- Research Grants Council of Hong Kong [CityU-11261516]
- National Natural Science Foundation of China [61522306]
- State Key Laboratory of Robotics and Systems of Harbin Institute of Technology
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This paper tackles the problem of finite frequency H-infinity filtering design for polytopic uncertain discrete-time systems using past output measurements. The noise is assumed to be restricted in a finite frequency range, i.e., the low, middle, or high frequency range. The objective is to design an admissible filter with past output measurements of the system, guaranteeing the asymptotic stability of the filtering error system with a prescribed finite frequency H-infinity disturbance attenuation level. Based on past output measurements together with the parameter-dependent Lyapunov function and projection lemma, a new sufficient condition for robust finite frequency H-infinity performance is first derived, and then, the filter synthesis is developed. It is shown that the filter gains can be obtained by solving a set of linear-matrix-inequalities. Finally, two examples are given to demonstrate the advantages and effectiveness of the proposed approach.
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