This paper presents a systematic tuning approach for linear model predictive controllers based on the computationally attractive minimum variance covariance constrained control (MVC 3 ) problem. Unfortunately, the linear feedback policy generated by the MVC 3 problem is incompatible with the algorithmic framework of predictive control, in which the primary tuning vehicle is the selection of objective function weights. The main result of this paper is to show that all linear feedbacks generated by the MVC 3 problem exhibit the property of inverse optimality with respect to an appropriately defined linear quadratic regulator (LQR) problem. Thus, the proposed tuning scheme is a two-step procedure: application of the MVC 3 problem to achieve tuning objectives, followed by application of inverse optimality to determine the predictive control weights from the MVC 3 -generated linear feedback.
The Integrated Gasification Combined Cycle (IGCC) possesses
many
benefits over traditional power generation plants, ranging from increased
efficiency to flex-fuel and carbon capture opportunities. A lesser-known
benefit of the IGCC configuration is the ability to load track electricity
market demands. The idea being that process modifications to enable
dispatch capabilities will allow for a time-shift of power production
away from periods of low energy value to periods of high value. The
work begins with an illustration of Economic Model Predictive Control
(EMPC) as a vehicle to exploit dispatch capabilities by pursuing the
objective of maximizing revenue directly. However, implementation
of EMPC can result in unexpected and, at times, pathological closed-loop
behavior, including inventory creep and bang–bang actuation.
To address these issues, an infinite-horizon version of EMPC is developed
and shown to avoid many of the performance issues observed in the
finite-horizon version. The paper concludes with an in-depth discussion
of energy value forecasting and how the quality of forecasts can be
incorporated into the design of the infinite-horizon EMPC controller.
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