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The Sensitivity-Shaping Problem for Singularly Perturbed Systems

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Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 78))

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Abstract

In this chapter, a design technique is carried out by applying robustness criteria to obtain stability and satisfy some performances. A loop-shaping technique has been researched by selecting a suitable open-loop TF and then the robust controller is constructed. This chapter is arranged as follows: the basic definitions are presented in Sect. 6.1. The loop-shaping design procedure for SISO SPSs via using the finite frequency strategy is demonstrated in Sect. 6.2. Such method has been extended to be applied in MIMO SPSs in Sect. 6.3. Using observer-based controllers, the fault detection (FD) issue for SPSs based on finite frequency methods has been investigated in Sect. 6.4. Simulation examples are given respectively to show the validity and effectiveness of the design procedure.

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Authors and Affiliations

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

    Chenxiao Cai, Jing Xu & Yun Zou

  2. Department of Computer Science, Brunel University London, Uxbridge, Middlesex, UK

    Zidong Wang

Authors
  1. Chenxiao Cai
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  2. Zidong Wang
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  3. Jing Xu
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  4. Yun Zou
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Correspondence to Chenxiao Cai .

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Cai, C., Wang, Z., Xu, J., Zou, Y. (2017). The Sensitivity-Shaping Problem for Singularly Perturbed Systems. In: Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems. Studies in Systems, Decision and Control, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-319-45405-4_6

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  • DOI: https://doi.org/10.1007/978-3-319-45405-4_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45404-7

  • Online ISBN: 978-3-319-45405-4

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