Static output-feedback stabilization with optimal L1L1-gain for positive linear systems

• Jun Shen ^[1] ; James Lam ^[1]
  1. [1] University of Hong Kong

     University of Hong Kong

     RAE de Hong Kong (China)

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 63, 2016, págs. 248-253
• Idioma: inglés
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• Resumen

  • This paper is concerned with the static output-feedback stabilization with optimal L1L1-gain for positive linear systems. We aim to construct a static output-feedback controller such that the closed-loop system is positive, asymptotically stable and the L1L1-gain from the exogenous input to the regulated output is minimized. We show that when the control input or the measured output is a scalar, this problem can be directly solved via linear programming by adding a one dimensional search. Moreover, it is pointed out that the results can be extended to solve the L∞L∞-optimal controller synthesis problem. Finally, several illustrative examples are given to show the effectiveness of the theoretical results.