Corrections to “Model Predictive Control for Stochastic Max-Plus Linear Systems With Chance Constraints,”

Abstract

This article discusses two issues in connection with the article J. Xu, T. J. J. van den Boom, and B. De Schutter, “Model predictive control for stochastic max-plus linear systems with chance constraints,” IEEE Trans. Autom. Control , vol. 64, no. 1, pp. 337–342, Jan. 2019, namely an error in Proposition 7 and the assumption that the covariance matrix in the chance constraint is positive definite. First, we will discuss and correct the error in Proposition 7. Subsequently, we will consider a relaxation of the assumption in Proposition 7 and give a less-restrictive and less-conservative reformulation of the proposition.