On multiparametric/explicit NMPC for Quadratically Constrained Problems Academic Article

abstract

• 2018 We present the expansion of the Basic Sensitivity Theorem to a second order Taylor approach and the implications to explicit model predictive control of quadratically constrained systems. The expansion enables the derivation of an algorithm for the analytical solution of convex multiparametric quadratically constraint programming (mpQCQP) problems and explicit quadratically constrained NMPC problems. We derive the analytical parametric expressions of the control actions for a quadratically constrained MPC problem and its corresponding critical regions. We show the piecewise non-linear form of the solution and closed-loop validation of the results.

authors

• Pistikopoulos, Stratos

published proceedings

• IFAC PAPERSONLINE

author list (cited authors)

• Diangelakis, N. A., Pappas, I. S., & Pistikopoulos, E. N.

citation count

• 9

complete list of authors

• Diangelakis, Nikolaos A||Pappas, Iosif S||Pistikopoulos, Efstratios N

publication date

• January 2018

publisher

• Elsevier  Publisher

published in

• IFAC-PapersOnLine  Journal

keywords

• Explicit Mpc
• Multiparametric Programming
• Quadratically Constrained Quadratic Programming

Digital Object Identifier (DOI)

• 10.1016/j.ifacol.2018.11.066

start page

• 400

end page

• 405

volume

• 51

issue

• 20

URL

• http://dx.doi.org/10.1016/j.ifacol.2018.11.066