Comprehensive admissibility for descriptor systems

• Yu Feng ^[1] ; Mohamed Yagoubi ^[2]
  1. [1] Zhejiang University of Technology

     Zhejiang University of Technology

     China

     
  2. [2] LUNAM Université, Ecole des Mines de Nantes, France
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 66, 2016, págs. 271-275
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper presents a complete solution to the problem of comprehensive admissibility for descriptor systems with unstable and nonproper weights. In such non-standard circumstances, it is hard to render the closed-loop system admissible due to the uncontrollable and unobservable weights. The necessary and sufficient condition is given and a specifically structured output feedback controller is conducted in terms of the dynamics of the weighs. It is shown that determining suitable controllers for a given descriptor system with the presence of unstable and nonproper weights requires solving an admissibility problem for an augmented system explicitly constructed in this paper. A numerical example is included to illustrate the current result.