Enforcing asymptotic orbital stability of economic model predictive control

• Boris Houska ^[1]
  1. [1] ShanghaiTech University

     ShanghaiTech University

     China

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 57, 2015, págs. 45-50
• Idioma: inglés
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• Resumen

  • This paper is about economic model predictive control (EMPC), a modern receding horizon based control technique that minimizes at each sampling instance an economic objective on a moving horizon subject to a continuous-time model dynamics and, optionally, control and state constraints. The contribution of this paper is the introduction of a new type of terminal constraint and terminal cost, which allow us to enforce the asymptotic orbital stability of EMPC under reasonable assumptions on the controllability and well-posedness of the problem. We provide an associated orbital Lyapunov function that is employed for proving stability.