Improved robust energy-to-peak filtering for uncertain linear systems

Authors:
Hui Zhang;Aryan Saadat Mehr;Yang Shi
Affiliations:
Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, Victoria, BC, Canada V8W 3P6;Department of Electrical and Computer Engineering, University of Saskatchewan, 57 Campus Drive, Saskatoon, SK, Canada S7N 5A9;Department of Mechanical Engineering, University of Victoria, PO Box 3055, STN CSC, Victoria, BC, Canada V8W 3P6
Venue:
Signal Processing
Year:
2010

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Abstract

This paper investigates the problem of energy-to-peak filtering for both discrete-time and continuous-time systems with polyhedral uncertainties in the state-space equations. By increasing the flexible dimensions in the solution space for the energy-to-peak optimization, less conservative results on the robust energy-to-peak filtering are obtained. The filter parameters can be readily designed by solving a set of parameter-dependent linear matrix inequalities (LMIs). In comparison with the existing methods, the improvement of the proposed method over the existing results is shown via two numerical examples.