Design of constrained nonlinear model predictive control based on global optimisation

نویسندگان

  • Michal Čižniar
  • Miroslav Fikar
چکیده

In this paper a constrained nonlinear model predictive control (CNMPC) based on deterministic global optimisation is designed. The approach adopted consists in the transformation of the dynamic optimisation problem into a nonlinear programming (NLP) problem using the method of orthogonal collocation on finite elements. Rigorous convex underestimators of the nonconvex NLP problem are then derived within a spatial branch-and-bound method and solved to global optimality. The resulting control is compared to the CNMPC based on local optimisation in the control of a single-input single-output (SISO) continuous stirred tank reactor where a set of consecutive and parallel reactions take place.

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تاریخ انتشار 2008