JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2009, Vol. 39 ›› Issue (3): 22-30.

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Recent results on H∞ control of time-delay systems using  frequency-domain approaches

  

  1. Department of Electrical Engineering and Electronics,The University of Liverpool, Liverpool L69 3GJ, UK
  • Received:2009-05-04 Online:2009-06-16 Published:2009-06-16
  • About author:ZHONG Qing-chang(1970-),male, Ph.D.,SeniorLecturer, his main research interets cover control theory (including H-infinity control, time-delay systems and infinite-dimensional systems) and control engineering (including process control, power electronics, renewable energy, embedded control, rapid control prototyping and hardware-in-the-loop, engine control, hybrid vehicles and control using delay elements such as input-shaping technique and repetitive contr0l). E-mail: Q.Zhong@liverpool.ac.uk
  • Supported by:

    This research was supported by the EPSRC, UK under grant no. EP/C005953/1.

Abstract:

Systems with delays frequently appear in engineering. Typical examples of time-delay systems are communication networks, chemical processes, and tele-operation systems. The presence of delays makes system analysis and control design much more complicated. In this survey paper, some of the recent results obtainedby the author on  H∞ control of time-delay systems were summarized. Theproblems discussed include the standard H∞ control problem, the delay-type Nehari problem, controller parametrisation and controller implementation. Some problems for future research were highlighted.

Key words: standard  H∞ control problem; delay-type Nehari problem; modified Smith predictor; chain-scattering approach; controller implementation

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