Finite Frequency Positive Real Control for Singularly Perturbed Systems

  • Chenxiao CaiEmail author
  • Zidong Wang
  • Jing Xu
  • Yun Zou
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 78)


With the development of high-performance mechatronics , the feedback control system is often required to exhibit some particular control system specifications such as high control bandwidth and FF disturbance suppression capability. Meanwhile, the integrated design of both mechanical plant and controller design is carried out to achieve performance specifications. In this chapter, a GKYP lemma-based algorithm is proposed for simultaneous finite frequency design of a mechanical SPS plant and controller through a convex separable parametrization. In Sect. 5.1, basic definitions and some related engineering background of passivity and positive real property are introduced. The design procedure using the classical slow-fast decomposition is represented in Sect. 5.2. To extend the results to nonstandard SPS, a descriptor-system method for SPSs are demonstrated in Sect. 5.3.


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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  1. 1.School of AutomationNanjing University of Science and TechnologyNanjingChina
  2. 2.Department of Computer ScienceBrunel University LondonUxbridgeUK

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