Advertisement

Constrained MPC

  • Eduardo Fernandez-Camacho
  • Carlos Bordons-Alba
Part of the Advances in Industrial Control book series (AIC)

Abstract

The control problem has been formulated in the previous chapters considering all signals to possess an unlimited range. This is not very realistic because in practice all processes are subject to constraints. Actuators have a limited range of action and a limited slew rate, as is the case of control valves which are limited by a fully closed and fully open position and a maximum slew rate. Constructive and/or safety reasons, as well as sensor range, cause bounds in process variables, as in the case of levels in tanks, flows in pipes and pressures in deposits. Furthermore, in practice, the operating points of plants are determined to satisfy economic goals and lie at the intersection of certain constraints. The control system normally operates close to the limits and constraint violations are likely to occur. The control system, especially for long-range predictive control, has to anticipate constraint violations and correct them in an appropriate way. Although input and output constraints are basically treated in the same way, as is shown in this chapter, the implications of the constraints differ. Output constraints are mainly due to safety reasons, and must be controlled in advance because output variables are affected by process dynamics. Input (or manipulated) variables can always be kept in bound by the controller by clipping the control action to a value satisfying amplitude and slew rate constraints.

Keywords

Feasible Point Slew Rate Infinite Horizon Manipulate Variable Feasible Direction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 1995

Authors and Affiliations

  • Eduardo Fernandez-Camacho
    • 1
  • Carlos Bordons-Alba
    • 1
  1. 1.Escuela Superior de Ingenieros Industriales, Departamento de Ingeniería de Sistemas y AutomáticaUniversidad de SevillaSevillaSpain

Personalised recommendations