Subspace identification and model predictive control for buildings

Model predictive controller presented in this article makes use of both weather forecast and thermal model of a building to control inside temperature. This, by sharp contrast to conventional control strategies such as weather-compensated heating control (heating-curve controller), enables utilization of thermal capacity of the building, thus minimization of energy consumption. The inside temperature can be maintained at desired levels independent of the outside weather conditions using modified formulation of predictive controller. Nevertheless, proper identification of the building model is crucial. The models of multiple-input multiple-output systems can be identified using subspace methods. The controller was tested on (and applied to) the real building and results were compared with a present heating control.

[1]  F. Lewis.  Optimal Estimation: With an Introduction to Stochastic Control Theory , 1986 .

[2]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[3]  Michael Sebek,et al.  Subspace identification of poorly excited industrial systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[4]  Akira Ohsumi,et al.  Subspace-based prediction of linear time-varying stochastic systems , 2007, Autom..

[5]  Manfred Morari,et al.  A tractable approximation of chance constrained stochastic MPC based on affine disturbance feedback , 2008, 2008 47th IEEE Conference on Decision and Control.

[6]  A.W.M. van Schijndel,et al.  Reducing peak requirements for cooling by using thermally activated building systems , 2010 .

[7]  J. Rawlings,et al.  The stability of constrained receding horizon control , 1993, IEEE Trans. Autom. Control..

[8]  Philip Haves,et al.  Model predictive control for the operation of building cooling systems , 2010, Proceedings of the 2010 American Control Conference.

[9]  T. Başar,et al.  A New Approach to Linear Filtering and Prediction Problems , 2001 .

[10]  Anastasios I. Dounis,et al.  Advanced control systems engineering for energy and comfort management in a building environment--A review , 2009 .

[11]  Viktor Dorer,et al.  Control of thermally-activated building systems (TABS) , 2008 .

[12]  Cezar O.R. Negrão.  Integration of computational fluid dynamics with building thermal and mass flow simulation , 1998 .

[13]  M Morari,et al.  Energy efficient building climate control using Stochastic Model Predictive Control and weather predictions , 2010, Proceedings of the 2010 American Control Conference.

[14]  James B. Rawlings,et al.  A new autocovariance least-squares method for estimating noise covariances , 2006, Autom..

[15]  Jacques Richalet,et al.  Model algorithmic control of industrial processes , 1977 .

[16]  P. Curtiss,et al.  Heating and Cooling of Buildings , 2009 .

[17]  Sabine Van Huffel,et al.  Block-row Hankel weighted low rank approximation , 2006, Numer. Linear Algebra Appl..

[18]  M. Morari,et al.  Stability of model predictive control with soft constraints , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[19]  Pavel Trnka,et al.  Subspace like identification incorporating prior information , 2009, Autom..

[20]  Luis Pérez-Lombard,et al.  A review on buildings energy consumption information , 2008 .

[21]  R. Mehra.  On the identification of variances and adaptive Kalman filtering , 1970 .

[22]  Sten Bay Jørgensen,et al.  A Generalized Autocovariance Least-Squares Method for Kalman Filter Tuning , 2008 .

[23]  Gregor P. Henze,et al.  Evaluation of optimal control for active and passive building thermal storage , 2004 .

[24]  James B. Rawlings,et al.  Estimation of the disturbance structure from data using semidefinite programming and optimal weighting , 2009, Autom..

[25]  T. Y. Chen,et al.  Application of adaptive predictive control to a floor heating system with a large thermal lag , 2002 .

[26]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[27]  B. Moor,et al.  Subspace identification for linear systems , 1996 .

[28]  Nathan Mendes,et al.  Predictive controllers for thermal comfort optimization and energy savings , 2008 .

[29]  Manfred Morari,et al.  Robust Model Predictive Control , 1987, 1987 American Control Conference.

[30]  W. Kwon,et al.  Stabilizing state-feedback design via the moving horizon method† , 1983 .

[31]  M. Kintner-Meyer,et al.  Optimal control of an HVAC system using cold storage and building thermal capacitance , 1995 .

[32]  L. Ferkl,et al.  Model of a hot water full circulation mode in a building , 2009, 2009 IEEE International Conference on Control and Automation.