Relaxing realizability conditions for discrete-time nonlinear systems

• Ülle Kotta ^[1] ; Kurt Schlacher ^[2] ; Maris Tõnso ^[1]
  1. [1] University of Technology, Estonia
  2. [2] University of Linz, Austria
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 58, 2015, págs. 67-71
• Idioma: inglés
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• Resumen

  • This paper addresses two related topics. First, a nonrealizable set of input–output equations can be made realizable in the classical state space form by adding a postcompensator whereas this is impossible in the continuous-time case. Construction of such postcompensator of minimal order is presented. Second, a general subclass of discrete-time systems is suggested, for which the observable subspace is non-integrable. The construction is based on the nonrealizable system, which is realized by adding a postcompensator, and then combined with the output of the original system.