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Non-Fragile Robust Guaranteed Cost Control of 2-D Discrete Uncertain Systems Described by the General Models

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Abstract

The problem of non-fragile robust guaranteed cost control for a class of two-dimensional (2-D) discrete systems in the general model (GM) with norm-bound uncertainties is investigated. The purpose is to design a non-fragile state feedback controller such that the closed-loop system is asymptotically stable and the cost function value is not more than an upper bound for all admissible uncertainties. The cost function is proposed and an upper bound of the cost function is given. By using a linear matrix inequalities (LMIs) approach, a sufficient condition for the solvability of the problem is obtained. A desired non-fragile state feedback controller can be constructed by solving a set of LMIs. An example is provided to demonstrate the application of the proposed design method.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, P.R. China

    Shuxia Ye & Yun Zou

  2. Department of Mathematics, Nanjing University of Science and Technology, Nanjing, 210094, P.R. China

    Weiqun Wang & Huiling Xu

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  1. Shuxia Ye
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  2. Weiqun Wang
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  4. Huiling Xu
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Correspondence to Shuxia Ye.

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Ye, S., Wang, W., Zou, Y. et al. Non-Fragile Robust Guaranteed Cost Control of 2-D Discrete Uncertain Systems Described by the General Models. Circuits Syst Signal Process 30, 899–914 (2011). https://doi.org/10.1007/s00034-010-9257-6

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  • DOI: https://doi.org/10.1007/s00034-010-9257-6

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