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Parameter-dependent robust H ∞ filter design for uncertain discrete-time systems with quantized measurements

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  • Control Theory
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Abstract

This paper deals with the problem of parameter-dependent robust H ∞ filter design for uncertain discrete-time systems with output quantization. The uncertain parameters are supposed to reside in a polytope. The system outputs are quantized by a memoryless logarithmic quantizer before being transmitted to a filter. Attention is focused on the design of a robust H ∞ filter to mitigate quantization effects and ensure a prescribed H ∞ noise attenuation level. Via introducing some slack variables and using the parameter-dependent Lyapunov function, sufficient conditions for the existence of a robust H ∞ filter are expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.

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Authors and Affiliations

  1. College of Engineering, Bohai University, Liaoning, Jinzhou, 121013, China

    Ke-Zhen Han & Xiao-Heng Chang

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  1. Ke-Zhen Han
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  2. Xiao-Heng Chang
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Corresponding author

Correspondence to Xiao-Heng Chang.

Additional information

The work of Xiao-Heng Chang was supported in part by the Funds of National Science of China (Grant No. 61104071), the Program for Liaoning Excellent Talents in University (Grant No. LJQ2012095).

Recommended by Editorial Board member Shengyuan Xu under the direction of Editor Yoshito Ohta.

Ke-Zhen Han received his B.E. degree from Dezhou University, China in 2010. He is currently working toward an M.S. degree in the College of Engineering, Bohai University, China. His research interests include robust control, singular system theory and fuzzy control.

Xiao-Heng Chang received his B.E. and M.S. degrees from the Liaoning Technical University, China, in 1998 and 2004, respectively, and his Ph.D. degree from the Northeastern University, China, in 2007. He is currently an Associate professor in the College of Engineering, Bohai University, China. His research interests include fuzzy control and robust control as well as their applications.

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Han, KZ., Chang, XH. Parameter-dependent robust H ∞ filter design for uncertain discrete-time systems with quantized measurements. Int. J. Control Autom. Syst. 11, 194–199 (2013). https://doi.org/10.1007/s12555-012-0040-2

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  • DOI: https://doi.org/10.1007/s12555-012-0040-2

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