Simultaneous static output-feedback stabilisation for discrete-time interval systems with time delay

Author(s): Y.-C. Chang ; S.-S. Chen ; S.-F. Su ; T.-T. Lee
DOI: 10.1049/ip-cta:20040713

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Author(s): Y.-C. Chang ¹ ; S.-S. Chen ² ; S.-F. Su ³ ; T.-T. Lee ³
- Affiliations: 1: Department of Electrical Engineering, Lee-Ming Institute of Technology, Taipei, Taiwan
  2: Department of Electrical Engineering, Chin-Min Institute of Technology, Mai-Li, Taiwan
  3: Department of Electrical Engineering, National Taipei University of Technology, Taipei, Taiwan
Source: Volume 151, Issue 4, July 2004, p. 445 – 452
DOI: 10.1049/ip-cta:20040713 , Print ISSN 1350-2379, Online ISSN 1359-7035

The simultaneous static output-feedback stabilisation problem for a collection of discrete-time interval systems with time delays both in states and in control input is considered. A sufficient condition for the existence of static output-feedback simultaneously stabilising controllers is obtained in terms of matrix spectral norms. It is shown that this problem is solvable if a corresponding matrix spectral norm assignment problem is solvable. It is also shown that the matrix spectral norm assignment problem is equivalent to a bilinear matrix inequality (BMI) problem. A sufficient condition for the BMI problem is then derived and the condition is a linear matrix inequality feasibility problem, which can be solved easily. An example is provided to demonstrate the effectiveness of the proposed methodology.

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Simultaneous static output-feedback stabilisation for discrete-time interval systems with time delay

Simultaneous static output-feedback stabilisation for discrete-time interval systems with time delay

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