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Approximate solution for problem of dynamical optimization of process control

Nowadays we observe a contradiction in Process Control when powerful methods of modern Control theory and high-capacity processors go with quite trivial set of controlling algorithms leaded by scalar PI-controllers. In our opinion, one of the main reasons of this fact is that real technological processes are specific complex multivariable objects, and fundamental theory is not entirely adapted for practical use. In this report we consider different approaches of approximate solutions for dynamical optimization of complex process control problems with technical/economical criteria. They will rely on assumptions of small disturbances, weak nonlinear and dynamic properties as the ground to start our analysis.
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