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Output Feedback H ∞ Stabilization of 2D Discrete Switched Systems in FM LSS Model

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Abstract

This paper investigates the dynamic output feedback H ∞ stabilization problem for a class of discrete-time 2D (two-dimensional) switched systems represented by a model of FM LSS (Fornasini–Marchesini local state space) model. First, sufficient conditions for the exponential stability and weighted H ∞ disturbance attenuation performance of the underlying system are derived via the average dwell time approach. Then, based on the obtained results, dynamic output feedback controller is proposed to guarantee that the resulting closed-loop system is exponentially stable and has a prescribed disturbance attenuation level γ. Finally, two examples are provided to verify the effectiveness of the proposed method.

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Acknowledgement

This work was supported by the National Natural Science Foundation of China under Grant No. 61273120.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    Zhaoxia Duan & Zhengrong Xiang

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  1. Zhaoxia Duan
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  2. Zhengrong Xiang
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Correspondence to Zhengrong Xiang.

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Duan, Z., Xiang, Z. Output Feedback H ∞ Stabilization of 2D Discrete Switched Systems in FM LSS Model. Circuits Syst Signal Process 33, 1095–1117 (2014). https://doi.org/10.1007/s00034-013-9680-6

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  • DOI: https://doi.org/10.1007/s00034-013-9680-6

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