Minimum energy control of descriptor positive discrete-time linear systems

• Tadeusz Kaczorek ^[1]
  1. [1] Bialystok University of Technology

     Bialystok University of Technology

     Białystok, Polonia

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 33, Nº 3 (Special Issue: OIPE 2012), 2014, págs. 976-988
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Purpose – The purpose of this paper is to formulate and solve the minimum energy control problem of descriptor positive discrete-time linear systems.

    Design/methodology/approach – A procedure for computation of the optimal input sequences and the minimal value of the performance index is proposed.

    Findings – Necessary and sufficient conditions for the positivity and reachability of descriptor positive discrete-time linear systems and sufficient conditions for the existence of solution to the minimum energy control problem are given.

    Originality/value – A method for solving of the minimum energy control problem of descriptor positive discrete-time linear systems is proposed.