Abstract

CONSTANZA, V.  and  NEUMAN, C. E.. On-line costate integration for nonlinear control. Lat. Am. appl. res. [online]. 2006, vol.36, n.2, pp.129-136. ISSN 0327-0793.

The optimal feedback control of nonlinear chemical processes, specially for regulation and set-point changing, is attacked in this paper. A novel procedure based on the Hamiltonian equations associated to a bilinear approximation of the dynamics and a quadratic cost is presented. The usual boundary-value situation for the coupled state-costate system is transformed into an initial-value problem through the solution of a generalized algebraic Riccati equation. This allows to integrate the Hamiltonian equations on-line, and to construct the feedback law by using the costate solution trajectory. Results are shown applied to a classical nonlinear chemical reactor model, and compared against standard MPC and previous versions of bilinear-quadratic strategies based on power series expansions.

Keywords : Process Control; Nonlinear Dynamics; Optimization; Hamiltonian Systems.

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