A reference governor for linear systems with polynomial constraints

Laurent Burlion, Rick Schieni, Ilya V. Kolmanovsky

Research output: Contribution to journalArticlepeer-review


The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples.

Original languageEnglish (US)
Article number110313
StateAccepted/In press - 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


  • Control of constrained systems
  • Nonlinear systems
  • Polynomial methods
  • Reference governors


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