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Non-fragile state feedback H-infinity control for discrete-time systems with quantized signals

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Abstract

This paper presents a study on the problem of non-fragile state feedback H-infinity controller design for linear discrete-time systems with quantized signals. The quantizers considered here are dynamic and time-varying. With the consideration of controller gain variations and quantized signals at the same time, a new non-fragile H-infinity control strategy is proposed with updating quantizer’s parameters, such that the quantized closed-loop system is asymptotically stable and with a prescribed H-infinity performance bound. An example is presented to illustrate the effectiveness of the proposed control strategy.

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Authors and Affiliations

  1. Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, China

    Weiwei Che & Guanghong Yang

Authors
  1. Weiwei Che
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  2. Guanghong Yang
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Correspondence to Weiwei Che.

Additional information

This work was partly supported by the Funds for Creative Research Groups of China (No.60521003), the State Key Program of National Natural Science of China (No.60534010), the Funds of National Science of China (No.60674021), the Funds of PhD program of MOE, China (No.20060145019) and the 111 Project (B08015).

Weiwei CHE is a Ph.D. candidate at the College of Information Science and Engineering, Northeastern University. Her research interests include non-fragile control and quantization control. Corresponding author of this paper.

Guanghong YANG is a professor at Northeastern University. His current research interests cover faulttolerant control, fault detection and isolation, and robust control. He is also a senior member of IEEE, an associate editor for the International Journal of Control, Automation and Systems (IJCAS), and an associate editor of the Conference Editorial Board of IEEE Control Systems Society.

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Che, W., Yang, G. Non-fragile state feedback H-infinity control for discrete-time systems with quantized signals. J. Control Theory Appl. 7, 63–67 (2009). https://doi.org/10.1007/s11768-009-7091-9

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  • DOI: https://doi.org/10.1007/s11768-009-7091-9

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