Robust MPC Method for BMI Based Wheelchair

In this paper, robust MPC (Model Predictive Control) with adaptive DA converter method for the wheelchair using EEG (Electroencephalogram) based BMI (Brain Machine Interface) is discussed. The method is developed to apply to the obstacle avoidance system of wheelchair. This paper is the 1st stage for the development of the BMI based wheelchair in practical use. The robust MPC method is realized by using the minimax optimization with bounded constraint conditions. Some numerical examples are also included to demonstrate the effectiveness of the proposed methodas the former stage of the real experiments.

[1]  J. Allwright,et al.  On linear programming and robust modelpredictive control using impulse-responses , 1992 .

[2]  Tor Arne Johansen,et al.  Computation, approximation and stability of explicit feedback min-max nonlinear model predictive control , 2009, Autom..

[3]  桂吾 渡辺,et al.  ファジィ・ガウシアン・ニューラルネットワーク制御器とその移動ロボット車の制御への応用( インテリジェント・システム) , 1993 .

[4]  Yutaka Yamamoto,et al.  A function space approach to sampled data control systems and tracking problems , 1994, IEEE Trans. Autom. Control..

[5]  Rodolphe Heliot,et al.  Brain–Machine Interfaces , 2010 .

[6]  Marko Bacic,et al.  Model predictive control , 2003 .

[7]  Bernhard Schölkopf,et al.  Support vector channel selection in BCI , 2004, IEEE Transactions on Biomedical Engineering.

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

[9]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[10]  Frank L. Lewis,et al.  Control of a nonholomic mobile robot: Backstepping kinematics into dynamics , 1997 .

[11]  Manfred Morari,et al.  Robust Constrained Model Predictive Control using Linear , 2010 .

[12]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[13]  Eduardo F. Camacho,et al.  Piecewise affinity of min-max MPC with bounded additive uncertainties and a quadratic criterion , 2006, Autom..

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

[15]  C. Braun,et al.  A review on directional information in neural signals for brain-machine interfaces , 2009, Journal of Physiology-Paris.

[16]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[17]  M. Morari,et al.  An improved discrete-time robust approach for constrained model predictive control , 2001, European Control Conference.

[18]  Vladimir Vapnik,et al.  Statistical learning theory , 1998 .

[19]  Zhenghong Yu,et al.  Worst-case formulations of model predictive control for systems with bounded parameters , 1997, Autom..

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

[21]  Chao-Ton Su,et al.  Feature selection for the SVM: An application to hypertension diagnosis , 2008, Expert Syst. Appl..

[22]  A. Garulli,et al.  Output-feedback predictive control of constrained linear systems via set-membership state estimation , 2000 .

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

[24]  Febo Cincotti,et al.  Relevant EEG features for the classification of spontaneous motor-related tasks , 2002, Biological Cybernetics.

[25]  P. Kabamba Control of Linear Systems Using Generalized Sampled-Data Hold Functions , 1987, 1987 American Control Conference.

[26]  B.D.O. Anderson,et al.  Controller design: moving from theory to practice , 1993, IEEE Control Systems.

[27]  M. Morari,et al.  Robust Stability of Constrained Model Predictive Control , 1993, 1993 American Control Conference.

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

[29]  Frank L. Lewis,et al.  Control of a nonholonomic mobile robot: backstepping kinematics into dynamics , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.