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Multivariable CRHPC (constrained receding-horizon predictive control) algorithm with improved numerical properties

Ławryńczuk M., Tatjewski P.

Archives of Control Sciences

2003

Vol. 13, no. 1

59-79

This paper is concerned with the stabilising constrained receding-horizon predictive control algorithm (CRHPC) for multivariable processes. The optimal inputprofile is calculated by means of a new method the purpose of witch is to avoid inverting usually ill-conditioned matrices. additionally, ralatively simple formulae for calculating free and forced output predictions for the ARX process model, as well as the analytical stabilising control law in the unconstained case are derived, without the necessity of solving a matrix Diophantine equation.