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Lexicographic perturbation for multiparametric linear programming with applications to control
2007
Automatica
Optimal control problems for constrained linear systems with a linear cost can be posed as multiparametric linear programs with a parameter in the cost, or equivalently the right-hand side of the constraints, and solved explicitly offline. Degeneracy occurs when the control input, or optimiser, is non-unique, which can cause chattering of the control input and overlap of the polyhedral regions of the explicit solution. This paper introduces a new and efficient approach to the computation of the
doi:10.1016/j.automatica.2007.03.008
fatcat:h7lnqxlv2jeadjf64zwhacb3ta