Corrections to "Model Predictive Control for Stochastic Max-Plus Linear Systems with Chance Constraints", [IEEE Trans. on Aut. Control, 64(1): 337-342, 2019]

Reference

T. J. J. van den Boom, J. Xu, and B. De Schutter, "Corrections to "Model predictive control for stochastic max-plus linear systems with chance constraints", [IEEE Trans. on Aut. Control, 64(1): 337-342, 2019]," IEEE Transactions on Automatic Control, vol. 65, no. 2, pp. 905-906, Feb. 2020.

Abstract

This paper discusses two issues in connection with the article "Model predictive control for stochastic max-plus linear systems with chance constraints" by J. Xu, T.J.J van den Boom, and B. De Schutter ([IEEE Transactions on Automatic Control, vol. 64, no. 1, pp. 337-342, 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.

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Original paper

• J. Xu, T. van den Boom, and B. De Schutter, "Model predictive control for stochastic max-plus linear systems with chance constraints," IEEE Transactions on Automatic Control, vol. 64, no. 1, pp. 337-342, 2019.  (online paper,  abstract,  bibtex,  tech. report (pdf))

BibTeX

@article{vanDeS:19-007,
   author  = {van den Boom, Ton J. J. and Xu, Jia and De Schutter, Bart},
   title   = {Corrections to ``{Model} Predictive Control for Stochastic
              Max-Plus Linear Systems with Chance Constraints'', [{IEEE Trans.\
              on Aut.\ Control}, 64(1): 337--342, 2019]},
   journal = {IEEE Transactions on Automatic Control},
   volume  = {65},
   number  = {2},
   pages   = {905--906},
   month   = feb,
   year    = {2020}
   }

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