Brief Paper: A Predictive Controller with Artificial Lyapunov Function for Linear Systems with Input/State Constraints

  • Authors:
  • ALBERTO BEMPORAD

  • Affiliations:
  • Automatic Control Laboratory, Swiss Federal Institute of Technology, ETH-Z, ETL K22.1, CH 8092 Zürich, Switzerland

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1998

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Abstract

This paper copes with the problem of satisfying input and/or state hard constraints in set-point tracking problems. Stability is guaranteed by synthesizing a Lyapunov quadratic function for the system, and by imposing that the terminal state lies within a level set of the function. Procedures to maximize the volume of such an ellipsoidal set are provided, and interiorpoint methods to solve on-line optimization are considered.