Robust control of the distributed solar collector field ACUREX using MPC for tracking.

Abstract This paper presents the application of a robust model predictive control for tracking of piece-wise constant references (RMPCT) to a distributed collector field, ACUREX, at the solar power plant of PSA (Solar Plant of Almeria). The main characteristic of a solar power plant is that the primary energy source, solar radiation, cannot be manipulated. Solar radiation varies throughout the day, causing changes in plant dynamics and strong disturbances in the process. The real plant is assumed to be modeled as a linear system with additive bounded uncertainties on the states. Under mild assumptions, the proposed RMPCT can steer the uncertain system in an admissible evolution to any admissible steady state, that is, under any change of the set point. This allows us to reject constant disturbances compensating the effect of then changing the setpoint.

[1]  Franco Blanchini,et al.  Set invariance in control , 1999, Autom..

[2]  E. Gilbert,et al.  Theory and computation of disturbance invariant sets for discrete-time linear systems , 1998 .

[3]  Manuel Berenguel,et al.  Application of a gain scheduling generalized predictive controller to a solar power plant , 1994 .

[4]  Manuel Berenguel,et al.  Adaptive generalized predictive control of a distributed collector field , 1994, IEEE Trans. Control. Syst. Technol..

[5]  David G. Luenberger.  Programación lineal y no lineal , 1998 .

[6]  Eduardo F. Camacho,et al.  Control of dead-time processes , 2007 .

[7]  Eduardo F. Camacho,et al.  Output feedback Robust tube based MPC for tracking of piece-wise constant references , 2007, 2007 46th IEEE Conference on Decision and Control.

[8]  D. Limon,et al.  Enlarging the domain of attraction of MPC controllers , 2005, Autom..

[9]  Eduardo F. Camacho,et al.  ENLARGING THE DOMAIN OF ATTRACTION OF MPC CONTROLLER USING INVARIANT SETS , 2002 .

[10]  David Q. Mayne,et al.  Invariant approximations of the minimal robust positively Invariant set , 2005, IEEE Transactions on Automatic Control.

[11]  D. Limón,et al.  MPC FOR TRACKING OF PIECE-WISE CONSTANT REFERENCES FOR CONSTRAINED LINEAR SYSTEMS , 2005 .

[12]  David Q. Mayne,et al.  Robust model predictive control of constrained linear systems with bounded disturbances , 2005, Autom..

[13]  Eduardo F. Camacho,et al.  Robust tube based MPC for tracking of piece-wise constant references , 2007, 2007 46th IEEE Conference on Decision and Control.

[14]  Sasa V. Rakovic,et al.  Minkowski algebra and Banach Contraction Principle in set invariance for linear discrete time systems , 2007, 2007 46th IEEE Conference on Decision and Control.