A method includes identifying a nonlinear model used by an optimizer to perform optimization operations associated with an industrial process to be controlled. The method also includes generating a Hessian matrix associated with the nonlinear model. The method further includes providing the Hessian matrix to an advanced process controller that uses the Hessian matrix to perform both process control and optimization operations. The Hessian matrix can approximate a nonlinear objective function. The method can also include providing one or more approximated nonlinear constraints, a solution of a quadratic sub-problem that approximates the nonlinear model, or a combination of multiple solutions of the quadratic sub-problem to the advanced process controller. The Hessian matrix can be updated and provided to the advanced process controller during each of multiple iterations. During each iteration, the industrial process can be adjusted to move an operating point of the industrial process towards an optimal ending position.