Robust Model Predictive Controller Design

Abstract This paper addresses to the problem of designing, modelling and practical realization of robust model predictive control which ensures a parameter dependent quadratic stability and guaranteed cost for linear polytopic systems. The design procedure based on BMI and LMI is reduced to off-line output feedback gain calculation. A numerical example and an application to a real process is given to illustrate the effectiveness of the proposed method.

[1]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[2]  Vojtech Veselý,et al.  Robust output feedback Model Predictive Control design , 2010 .

[3]  Alberto Bemporad,et al.  Robust model predictive control: A survey , 1998, Robustness in Identification and Control.

[4]  J. Bernussou,et al.  A new robust D-stability condition for real convex polytopic uncertainty , 2000 .

[5]  Vojtech Veselý,et al.  Design of robust model predictive control with input constraints , 2013, Int. J. Syst. Sci..

[6]  J. Lofberg Approximations of closed-loop minimax MPC , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

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

[8]  Baocang Ding,et al.  A synthesis approach for output feedback robust constrained model predictive control , 2008, Autom..

[9]  Vojtech Veselý,et al.  Robust static output feedback controller LMI based design via elimination , 2011, J. Frankl. Inst..

[10]  D. Krokavec,et al.  Observer state feedback control of discrete-time systems with state equality constraints , 2010 .

[11]  V. Veselý,et al.  Robust model predictive control design with input constraints. , 2010, ISA transactions.

[12]  S. Raković Invention of Prediction Structures and Categorization of Robust MPC Syntheses , 2012 .

[13]  J. Löfberg,et al.  Approximations of closed-loop minimax MPC , 2003, CDC.

[14]  J. Geromel,et al.  A new discrete-time robust stability condition , 1999 .

[15]  D. Mayne,et al.  Min-max feedback model predictive control for constrained linear systems , 1998, IEEE Trans. Autom. Control..

[16]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[17]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .

[18]  Manfred Morari,et al.  Robust constrained model predictive control using linear matrix inequalities , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[19]  J. Maciejowski,et al.  Feedback min‐max model predictive control using a single linear program: robust stability and the explicit solution , 2004 .

[20]  R. Skelton,et al.  An LMI optimization approach for structured linear controllers , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[21]  V. Veselý,et al.  Robust output feedback controllers for MIMO systems, BMI and LMI approach , 2013, 2013 International Conference on Process Control (PC).