l2-l∞ filtering for multirate nonlinear sampled-data systems using T-S fuzzy models

Authors:
Ji Huang;Yang Shi;Haining Huang;Zheng Li
Affiliations:
Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, Victoria, BC V8N 3P6, Canada and School of Electrical and Electronic Engineering, Hubei University of Technology ...;Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, Victoria, BC V8N 3P6, Canada;Institute of Acoustics, Chinese Academy of Sciences, No. 21, North 4th Ring Road, Beijing 100190, China;Institute of Acoustics, Chinese Academy of Sciences, No. 21, North 4th Ring Road, Beijing 100190, China
Venue:
Digital Signal Processing
Year:
2013

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Abstract

This paper investigates the l"2-l"~ filtering problem for multirate nonlinear sampled-data systems. By employing the Takagi-Sugeno (T-S) fuzzy model to represent the nonlinear system, the original multirate nonlinear system can be expressed as a set of linear multirate subsystems. Then the lifting technique is applied to reformulate the multirate system as a single-rate system. Finally, the fuzzy multirate filter with guaranteed energy-to-peak (l"2-l"~) performance is designed by solving a set of linear matrix inequalities (LMIs). Simulation examples are provided to illustrate the effectiveness of the proposed method.