Extremum seeking-based iterative learning linear MPC

In this work we study the problem of adaptive MPC for linear time-invariant uncertain models. We assume linear models with parametric uncertainties, and propose an iterative multi-variable extremum seeking (MES)-based learning MPC algorithm to learn online the uncertain parameters and update the MPC model. We show the effectiveness of this algorithm on a DC servo motor control example.

[1]  Mouhacine Benosman,et al.  Learning-based adaptive control for nonlinear systems , 2014, 2014 European Control Conference (ECC).

[2]  Håkan Hjalmarsson,et al.  Input design via LMIs admitting frequency-wise model specifications in confidence regions , 2005, IEEE Transactions on Automatic Control.

[3]  Denis Dochain,et al.  Adaptive extremum seeking control of continuous stirred-tank bioreactors , 2003 .

[4]  Chris Manzie,et al.  Newton-like extremum-seeking part I: Theory , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[5]  Martin Guay,et al.  Adaptive Model Predictive Control for Constrained Nonlinear Systems , 2008 .

[6]  S. Shankar Sastry,et al.  Provably safe and robust learning-based model predictive control , 2011, Autom..

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

[8]  Gökhan M. Atinç,et al.  Multi-parametric extremum seeking-based learning control for electromagnetic actuators , 2013, 2013 American Control Conference.

[9]  Stephen P. Boyd,et al.  Policies for simultaneous estimation and optimization , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[10]  Ying Tan,et al.  Non-local stability of a multi-variable extremum-seeking scheme , 2011, 2011 Australian Control Conference.

[11]  Mario A. Rotea,et al.  Analysis of multivariable extremum seeking algorithms , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[12]  Gökhan M. Atinç,et al.  Nonlinear learning-based adaptive control for electromagnetic actuators , 2013, 2013 European Control Conference (ECC).

[13]  Miroslav Krstic,et al.  Performance improvement and limitations in extremum seeking control , 2000 .

[14]  Bjarne Foss,et al.  An Adaptive Model Predictive Dual Controller , 2013, ALCOSP.

[15]  Stefano Di Cairano,et al.  Projection-free parallel quadratic programming for linear model predictive control , 2013, Int. J. Control.

[16]  Alejandro H. González,et al.  Model predictive control suitable for closed-loop re-identification , 2013, 2013 American Control Conference.

[17]  Vladimír Havlena,et al.  MPC‐based approximate dual controller by information matrix maximization , 2013 .

[18]  Alberto Bemporad,et al.  Model predictive control of magnetically actuated mass spring dampers for automotive applications , 2007, Int. J. Control.

[19]  H. Genceli,et al.  New approach to constrained predictive control with simultaneous model identification , 1996 .

[20]  Miroslav Krstic,et al.  Multivariable Extremum Seeking Feedback : Analysis and Design 1 , .

[21]  Dragan Nešić,et al.  Extremum seeking control: Convergence analysis , 2009, 2009 European Control Conference (ECC).

[22]  M. Krstić,et al.  Real-Time Optimization by Extremum-Seeking Control , 2003 .

[23]  Ilya Kolmanovsky,et al.  Model Predictive Control approach for guidance of spacecraft rendezvous and proximity maneuvering , 2012 .

[24]  Ying Tan,et al.  On the Choice of Dither in Extremum Seeking Systems: a Case Study , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[25]  Alberto Bemporad,et al.  Vehicle Yaw Stability Control by Coordinated Active Front Steering and Differential Braking in the Tire Sideslip Angles Domain , 2013, IEEE Transactions on Control Systems Technology.

[26]  Ying Tan,et al.  ON NON-LOCAL STABILITY PROPERTIES OF EXTREMUM SEEKING CONTROL , 2005 .

[27]  Ying Tan,et al.  On non-local stability properties of extremum seeking control , 2006, Autom..

[28]  Håkan Hjalmarsson,et al.  Model predictive control with integrated experiment design for output error systems , 2013, 2013 European Control Conference (ECC).

[29]  Eric C. Kerrigan,et al.  Predictive Control of a Boeing 747 Aircraft using an FPGA , 2012 .

[30]  Alberto Bemporad,et al.  Model Predictive Idle Speed Control: Design, Analysis, and Experimental Evaluation , 2012, IEEE Transactions on Control Systems Technology.

[31]  Robert R. Bitmead,et al.  Persistently exciting model predictive control , 2014 .

[32]  Chunlei Zhang,et al.  Extremum-Seeking Control and Applications: A Numerical Optimization-Based Approach , 2011 .

[33]  J. Hadamard.  Sur les problemes aux derive espartielles et leur signification physique , 1902 .

[34]  O. A. Sotomayor,et al.  Closed-loop model re-identification of processes under MPC with zone control , 2009 .

[35]  Denis Dochain,et al.  Adaptive extremum-seeking control of convection-reaction distributed reactor with limited actuation , 2008, Comput. Chem. Eng..

[36]  Tamer Basar,et al.  Dual Control Theory , 2001 .

[37]  Samuel Prívara,et al.  Persistent excitation condition within the dual control framework , 2013 .

[38]  Tor Arne Johansen,et al.  Explicit Model Predictive Control of an electropneumatic clutch actuator using on/off valves and pulse-width modulation , 2009, 2009 European Control Conference (ECC).