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Reliable Robust Control for the System with Input Saturation Based on Gain Scheduling

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Abstract

In this paper, a reliable robust discrete gain scheduling controller is designed based on the linear matrix inequalities (LMIs) and gain scheduling technology for the systems with the input saturation, system uncertainty, external disturbance and actuator failures. By the designed discrete gain scheduling controller, we can use a series of nesting ellipsoid invariant sets to strengthen the disturbance attenuation ability as strong as possible. It means that the innermost invariant ellipsoid set needs to be minimized to strengthen the disturbance attenuation ability. The dynamic performance of the closed-loop system is improved by introducing a parameter. By the Lyapunov approach, the existing conditions for the admissible controller can be formulated in the form of LMIs. The numerical simulation illustrates the effectiveness of the proposed method.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant 61503105, the National Basic Research Program of China (National 973 Program) under Grant 2012CB821204 and the National Natural Science Key Foundation of China under Grant 61333009.

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Authors and Affiliations

  1. Institute of Information and Control, Hangzhou Dianzi University, Hangzhou, 310018, China

    Qian Wang

  2. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, China

    Kai Zhang

  3. Key Lab for IOT and Information Fusion Technology of Zhejiang, Hangzhou Dianzi University, Hangzhou, 310018, China

    Anke Xue

Authors
  1. Qian Wang
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  2. Kai Zhang
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  3. Anke Xue
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Correspondence to Qian Wang.

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Wang, Q., Zhang, K. & Xue, A. Reliable Robust Control for the System with Input Saturation Based on Gain Scheduling. Circuits Syst Signal Process 36, 2586–2604 (2017). https://doi.org/10.1007/s00034-016-0427-z

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  • DOI: https://doi.org/10.1007/s00034-016-0427-z

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