J. Abadie, N. Chaillet, and C. Lexcellent, An integrated shape memory alloy micro-actuator controlled by thermoelectric effect, Sensors and Actuators A: Physical, vol.99, issue.3, pp.297-303, 2002.
DOI : 10.1016/S0924-4247(01)00832-9

URL : https://hal.archives-ouvertes.fr/hal-00014167

M. E. Adel, M. Makoudi, &. Radouane, and L. , Decentralized adaptive control of linear interconnected systems based on Laguerre series representation, Automatica, vol.35, issue.11, pp.1873-1881, 1999.
DOI : 10.1016/S0005-1098(99)00107-7

K. K. Ahn and N. B. Kha, Internal model control for shape memory alloy actuators using fuzzy based Preisach model, Sensors and Actuators A: Physical, vol.136, issue.2, pp.730-741, 2007.
DOI : 10.1016/j.sna.2006.12.011

K. K. Ahn and N. B. Kha, Modeling and control of shape memory alloy actuators using Preisach model, genetic algorithm and fuzzy logic, Mechatronics, vol.18, issue.3, pp.141-152, 2008.
DOI : 10.1016/j.mechatronics.2007.10.008

B. D. Anderson, Adaptive systems, lack of persistency of excitation and bursting phenomena, Automatica, vol.21, issue.3, pp.247-258, 1985.
DOI : 10.1016/0005-1098(85)90058-5

A. Asua, V. Etxebarria, and A. Garcia-arribas, Neural network-based micropositioning control of smart shape memory alloy actuators, Engineering Applications of Artificial Intelligence, vol.21, issue.5, pp.796-804, 2008.
DOI : 10.1016/j.engappai.2007.07.003

H. Belt, Orthonormal Basis for Adaptive Filtering, 1997.

H. Benzaoui, N. Chaillet, C. Lexcellent, and A. Bourjault, Nonlinear motion and shape control of Shape Memory Alloy, Proc. of SPIE Sym. on Smart Structures and Materials, pp.337-348, 1999.

A. Bhattacharyya, D. C. Lagoudas, Y. C. Wang, and V. K. Kinra, On the role of thermoelectric heat transfer in the design of SMA actuators: theoretical modeling and experiment, Smart Materials and Structures, pp.252-263, 1995.
DOI : 10.1088/0964-1726/4/4/005

S. Bittanti, P. Bolzern, and M. Campi, Convergence and exponential convergence of identification algorithms with directional forgetting factor, Automatica, vol.26, issue.5, pp.929-932, 1990.
DOI : 10.1016/0005-1098(90)90012-7

B. Campello, R. Do-amaral, W. Favier, and G. , A note on the optimal expansion of Volterra models using Laguerre functions, Automatica, vol.42, issue.4, pp.689-693, 2006.
DOI : 10.1016/j.automatica.2005.12.003

URL : https://hal.archives-ouvertes.fr/hal-00417811

L. Cao and H. Schwartz, A directional forgetting algorithm based on the decomposition of the information matrix, Automatica, vol.36, issue.11, pp.1725-1731, 2000.
DOI : 10.1016/S0005-1098(00)00093-5

J. G. Chase, V. Begoc, and L. R. Borrose, Efficient structural health monitoring for a benchmark structure using adaptive RLS filters, Computers & Structures, vol.83, issue.8-9, pp.639-647, 2005.
DOI : 10.1016/j.compstruc.2004.11.005

X. Chen, T. Hisayama, and C. Y. Su, Pseudo-inverse-based adaptive control for uncertain discrete time systems preceded by hysteresis, Automatica, vol.45, issue.2, pp.469-476, 2009.
DOI : 10.1016/j.automatica.2008.08.004

S. B. Choi, Force tracking control of a flexible gripper featuring shape memory alloy actuators, Mechatronics, vol.11, issue.6, pp.677-690, 2001.
DOI : 10.1016/S0957-4158(00)00034-9

D. Clarke, C. Mohtadi, and P. Tuffs, Generalized predictive control???Part I. The basic algorithm, Automatica, vol.23, issue.2, pp.137-148, 1987.
DOI : 10.1016/0005-1098(87)90087-2

C. Cocaud, A. Price, A. Jnifene, and H. Naguib, Position control of an experimental robotic arm driven by artificial muscles based on shape memory alloys, International Journal of Mechanics and Materials in Design, vol.6, issue.5, pp.223-236, 2006.
DOI : 10.1007/s10999-007-9026-2

C. R. Cutler and C. R. Johnston, Comparison of quality criterion for PID and predictive controllers, Proceedings of American control conference, pp.214-219, 1985.

D. Silva and E. P. , Beam shape feedback control by means of a shape memory actuator, Materials & Design, vol.28, issue.5, pp.1592-1596, 2007.
DOI : 10.1016/j.matdes.2006.02.021

D. Keyser, R. Van-cauwenberghe, and A. , A self-tuning multistep predictor application, Automatica, vol.17, issue.1, pp.167-174, 1981.
DOI : 10.1016/0005-1098(81)90092-3

J. B. Ditman, L. A. Bergman, and T. C. Tsao, The Design of Extended Bandwidth Shape Memory Alloy Actuators, Journal of Intelligent Material Systems and Structures, vol.13, issue.5, pp.635-645, 1996.
DOI : 10.1177/1045389X9600700603

G. A. Dumont and Y. Fu, Non-linear adaptive control via laguerre expansion of volterra kernels, International Journal of Adaptive Control and Signal Processing, vol.75, issue.5, pp.367-382, 1993.
DOI : 10.1002/acs.4480070506

G. A. Dumont and Y. Fu, Non-linear adaptive control via laguerre expansion of volterra kernels, International Journal of Adaptive Control and Signal Processing, vol.75, issue.5, pp.367-382, 1993.
DOI : 10.1002/acs.4480070506

G. A. Dumont, C. C. Zervos, and G. L. Pageau, Laguerre-based adaptive control of pH in an industrial bleach plant extraction stage, Automatica, vol.26, issue.4, pp.781-787, 1990.
DOI : 10.1016/0005-1098(90)90053-K

G. A. Dumont, Y. Fu, and G. Lu, Nonlinear adaptive generalized predictive control and applications Advances in Model Based Predictive Control, pp.498-515, 1994.

M. H. Elahinia and M. Ahmedian, Application of the Extended Kalman Filter to Control of a Shape Memory Alloy Arm, Dynamic Systems and Control, Volumes 1 and 2, pp.1370-1384, 2006.
DOI : 10.1115/IMECE2003-42013

M. H. Elahinia and H. Ashrafiuon, Nonlinear Control of a Shape Memory Alloy Actuated Manipulator, Journal of Vibration and Acoustics, vol.124, issue.4, pp.566-575, 2002.
DOI : 10.1115/1.1501285

A. L. Elshhafei, G. A. Dumont, and A. Elnaggar, Adaptive GPC based on laguerre-filters modelling, Automatica, vol.30, issue.12, pp.1913-1920, 1994.
DOI : 10.1016/0005-1098(94)90051-5

U. Forssell and L. Ljung, Closed-loop identification revisited, Automatica, vol.35, issue.7, pp.1215-1241, 1999.
DOI : 10.1016/S0005-1098(99)00022-9

Y. Fu and G. Dumont, An optimum time scale for discrete Laguerre network, IEEE Transactions on Automatic Control, vol.38, issue.6, pp.934-938, 1993.
DOI : 10.1109/9.222305

S. J. Furst and S. Seelecke, Experimental validation of different methods for controlling a flexible nozzle using embedded SMA wires as both positioning actuator and sensor, Behavior and Mechanics of Multifunctional Materials and Composites 2011, 2011.
DOI : 10.1117/12.884623

P. A. Gédouin, E. Delaleau, J. M. Bourgeot, C. Join, A. Chirani et al., Experimental comparison of classical PID and model-free control: Position control of a shape memory alloy active spring, Control Engineering Practice, vol.19, issue.5, pp.433-441, 2011.
DOI : 10.1016/j.conengprac.2011.01.005

M. P. Golden, L. K. Liu, and B. E. Ydstie, Multivariable control using extended prediction horizons, 1986 25th IEEE Conference on Decision and Control, pp.1550-1551, 1986.
DOI : 10.1109/CDC.1986.267145

D. Grant and V. Hayward, Variable structure control of shape memory alloy actuators, IEEE Control Systems Magazine, vol.17, issue.3, pp.80-88, 1997.
DOI : 10.1109/37.588180

R. Hangekar, S. Furst, and S. Seelecke, Development of a 6-Channel Power Controller for Simultaneous Actuation and Resistance Measurement of SMA Wires, ASME 2010 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Volume 2, 2010.
DOI : 10.1115/SMASIS2010-3846

H. Hjalmarsson, M. &. Gevers, and . De-bruyne, For model-based control design, closed-loop identification gives better performance, Automatica, vol.32, issue.12, pp.1659-1673, 1996.
DOI : 10.1016/S0005-1098(96)80003-3

M. Huzmezan, W. A. Gough, G. Dumont, and S. Kovac, Time delay integrating systems: a challenge for process control industries. A practical solution, Control Engineering Practice, vol.10, issue.10, pp.1153-1161, 2002.
DOI : 10.1016/S0967-0661(02)00060-6

E. Ikonen and K. Najim, Advanced Process Identification and Control, 2002.

H. Ishii and K. Ting, SMA actuated compliant bistable mechanisms, Mechatronics, vol.14, issue.4, pp.421-437, 2004.
DOI : 10.1016/S0957-4158(03)00068-0

R. V. Iyer, X. Tan, and P. S. Krishnaprasad, Approximate inversion of the Preisach hysteresis operator with application to control of smart actuators, IEEE Transactions on Automatic Control, vol.50, issue.6, pp.798-810, 2005.
DOI : 10.1109/TAC.2005.849205

M. A. Janaideh, S. Rakheja, and C. Y. Su, An Analytical Generalized Prandtl–Ishlinskii Model Inversion for Hysteresis Compensation in Micropositioning Control, IEEE/ASME Transactions on Mechatronics, vol.16, issue.4, 2010.
DOI : 10.1109/TMECH.2010.2052366

H. Janocha and K. Kuhnen, Real-time compensation of hysteresis and creep in piezoelectric actuators, Sensors and Actuators A: Physical, vol.79, issue.2, pp.83-89, 2000.
DOI : 10.1016/S0924-4247(99)00215-0

J. Jayendran, R. V. Patel, S. Nikumb, and M. Ostojic, Modeling and Control of Shape Memory Alloy Actuators, IEEE Transactions on Control Systems Technology, vol.16, issue.2, pp.279-287, 2008.
DOI : 10.1109/TCST.2007.903391

R. M. Johnstone, . Johnson, C. R. Jr, R. R. Bitmead, and B. D. Anderson, Exponential convergence of recursive least squares with exponential forgetting factor. Systems and Control Letters, pp.77-82, 1982.

M. S. Jostrom and C. Visone, ???Moving??? Prandtl???Ishilinskii operators with compensator in a closed form, Physica B: Condensed Matter, vol.372, issue.1-2, pp.97-100, 2006.
DOI : 10.1016/j.physb.2005.10.016

E. A. Khidir, N. A. Mohamed, M. J. Nor, and M. M. Mustafa, A new concept of a linear smart actuator, Sensors and Actutors A, vol.135, pp.244-249, 2007.

B. Kim, M. G. Lee, Y. P. Lee, Y. Kim, and G. Lee, An earthworm-like micro robot using shape memory alloy actuator, Sensors and Actuators A: Physical, vol.125, issue.2, pp.429-437, 2006.
DOI : 10.1016/j.sna.2005.05.004

P. Klouceka, D. R. Reynolds, and T. I. Seidman, On thermodynamic active control of shape memory alloy wires, Systems & Control Letters, vol.48, issue.3-4, pp.211-219, 2003.
DOI : 10.1016/S0167-6911(02)00266-9

K. Kuhnen, Modeling, Identification and Compensation of Complex Hysteretic Nonlinearities: A Modified Prandtl-Ishlinskii Approach, European Journal of Control, vol.9, issue.4, pp.407-418, 2003.
DOI : 10.3166/ejc.9.407-418

R. Kulhavý, Restricted exponential forgetting in real-time identification, Automatica, vol.23, issue.5, pp.589-600, 1987.
DOI : 10.1016/0005-1098(87)90054-9

A. Kumagai, T. I. Lui, and P. Hozian, Control of Shape Memory Alloy Actuators with a Neuro-fuzzy Feedforward Model Element, Journal of Intelligent Manufacturing, vol.6, issue.3, pp.45-56, 2006.
DOI : 10.1007/s10845-005-5512-2

D. C. Lagoudas, Z. Bo, and M. A. Qidwai, A unified thermodynamic constitutive model for SMA and finite element analysis of active matrix composites, Mechanics of Composite Materials and Structures, pp.153-179, 1996.

C. C. Lan and C. H. Fan, An accurate self-sensing method for the control of shape memory alloy actuated flexures, Sensors and Actuators A: Physical, vol.163, issue.1, pp.323-332, 2010.
DOI : 10.1016/j.sna.2010.07.018

I. D. Landau, R. Lozano, and M. Saad, Adaptive Control, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01060308

Y. D. Landau, Adaptive Control: Model Reference Approach, 1979.

M. Leary, F. Schiavone, and A. Subic, Lagging for control of shape memory alloy actuator response time, Materials & Design, vol.31, issue.4, pp.2124-2128, 2010.
DOI : 10.1016/j.matdes.2009.10.010

S. Leclercq and C. Lexcellent, A general macroscopic description of the thermomechanical behavior of shape memory alloys, Journal of the Mechanics and Physics of Solids, vol.44, issue.6, pp.953-980, 1996.
DOI : 10.1016/0022-5096(96)00013-0

C. Liang and C. A. Rogers, Design of Shape Memory Alloy Actuators, Journal of Mechanical Design, vol.114, issue.2, pp.223-230, 1992.
DOI : 10.1115/1.2916935

S. H. Liu and T. S. Yen, Tracking Control of Shape-Memory-Alloy Actuators Based on Self-Sensing Feedback and Inverse Hysteresis Compensation, Sensors, vol.10, issue.1, pp.112-127, 2010.
DOI : 10.3390/s100100112

L. Ljung, System Identification: Theory for the user, 1999.

L. Ljung, System Identification Toolbox, for use with Matlab, 2006.

N. Ma and G. Song, Control of shape memory alloy actuator using pulse width modulation, Smart Materials and Structures, vol.12, issue.5, pp.712-719, 2003.
DOI : 10.1088/0964-1726/12/5/007

N. Ma, G. Song, and H. Lee, Position control of shape memory alloy actuators with internal electrical resistance feedback using neural networks, Smart Materials and Structures, vol.13, issue.4, pp.777-783, 2004.
DOI : 10.1088/0964-1726/13/4/015

J. M. Maciejowski, Predictive control with constraints, 2000.

S. Majima, K. Kodama, and T. Hasegawa, Modeling of shape memory alloy actuator and tracking control system with the model, IEEE Transactions on Control Systems Technology, vol.9, issue.1, pp.54-59, 2001.
DOI : 10.1109/87.896745

C. Mavroidis, Development of Advanced Actuators Using Shape Memory Alloys and Electrorheological Fluids, Research in Nondestructive Evaluation, vol.24, issue.1, pp.1-32, 2002.
DOI : 10.1142/S0217979296001458

C. Mavroidis, C. Pfeiffer, and M. Mosley, Automation, Miniature Robotics and sensors for Non-destructive Tesing and Evaluation., chap. Conventional actuators, shape memory alloys and electrorheological, pp.189-214, 2000.

M. Moallem and L. Jun, Application of Shape Memory Alloy Actuators for Flexure Control: Theory and Experiments, IEEE/ASME Transactions on Mechatronics, vol.10, issue.5, pp.495-501, 2005.
DOI : 10.1109/TMECH.2005.856220

B. Moallem, M. Tabrizi, and V. A. , Tracking Control of an Antagonistic Shape Memory Alloy Actuator Pair, IEEE Transactions on Control Systems Technology, vol.17, issue.1, pp.184-190, 2009.
DOI : 10.1109/TCST.2008.922506

M. J. Mosley and C. Mavroidis, Experimental Nonlinear Dynamics of a Shape Memory Alloy Wire Bundle Actuator, Journal of Dynamic Systems, Measurement, and Control, vol.123, issue.1, pp.103-112, 2001.
DOI : 10.1115/1.1344243

B. K. Nguyen and K. K. Ahn, Feedforward Control of Shape Memory Alloy Actuators Using Fuzzy-Based Inverse Preisach Model, IEEE Transactions on Control Systems Technology, vol.17, issue.2, pp.434-441, 2009.
DOI : 10.1109/TCST.2008.924580

G. Pajunen, Adaptive control of wiener type nonlinear systems, Automatica, vol.28, issue.4, pp.781-785, 1992.
DOI : 10.1016/0005-1098(92)90037-G

A. Pathak, The Development of an Antagonistic SMA Actuation Technology for the Active Cancellation of Human Tremor, 2010.

F. Peng, X. X. Jiang, Y. R. Hu, and A. Ng, Actuation precision control of SMA actuators used for shape control of inflatable SAR antenna, Acta Astronautica, vol.63, issue.5-6, pp.578-585, 2008.
DOI : 10.1016/j.actaastro.2008.01.043

V. Piccirillo, J. M. Balthazar, B. R. Pontes-jr, and J. L. Felix, Chaos control of a nonlinear oscillator with shape memory alloy using an optimal linear control: Part i: Idea energy source, Mechanics of Composite Materials and Structures, pp.153-179, 1996.

A. D. Price, A. Jnifene, and H. E. Naguib, Design and control of a shape memory alloy based dexterous robot hand, Smart Materials and Structures, vol.16, issue.4, pp.1401-1414, 2007.
DOI : 10.1088/0964-1726/16/4/055

D. Reynaerts and H. Van-brussel, Design aspects of shape memory actuators, Mechatronics, vol.8, issue.6, pp.635-656, 1998.
DOI : 10.1016/S0957-4158(98)00023-3

J. Richalet, A. Rault, J. Testud, and J. Papon, Model predictive heuristic control, Automatica, vol.14, issue.5, pp.413-428, 1978.
DOI : 10.1016/0005-1098(78)90001-8

J. Richard, Algèbre et analyse pour l'automatique, Hermes Science, 2001.

R. Romano and E. A. Tannuri, Modeling, control and experimental validation of a novel actuator based on shape memory alloys, Mechatronics, vol.19, issue.7, pp.1169-1177, 2009.
DOI : 10.1016/j.mechatronics.2009.03.007

M. Safonov, Stability and Robustness of Multivarible Feedback Syatems, 1980.

P. Saha, S. H. Krishnan, V. S. Rao, and S. C. Patwardhan, MODELING AND PREDICTIVE CONTROL OF MIMO NONLINEAR SYSTEMS USING WIENER-LAGUERRE MODELS, Chemical Engineering Communications, vol.127, issue.8, pp.1083-1119, 1998.
DOI : 10.1080/00207178808906334

V. D. Sars, S. Haliyo, and J. Szewczyk, A practical approach to the design and control of active endoscopes, Mechatronics, vol.20, issue.2, pp.251-264, 2010.
DOI : 10.1016/j.mechatronics.2009.12.001

S. Sastry, Nonlinear Systems: Analysis, Stability and Control, 1999.
DOI : 10.1007/978-1-4757-3108-8

B. Shahian and M. Hassul, Control system design using Matlab, 1993.

E. Shameli, A. Alasty, and H. Salaarieh, Stability analysis and nonlinear control of a miniature shape memory alloy actuator for precise applications, Mechatronics, vol.15, issue.4, pp.471-486, 2005.
DOI : 10.1016/j.mechatronics.2004.10.001

A. Y. Sofla, D. M. Elzey, and H. Wadley, Two-way Antagonistic Shape Actuation Based on the One-way Shape Memory Effect, Journal of Intelligent Material Systems and Structures, vol.9, issue.5, pp.1017-1027, 2008.
DOI : 10.1177/1045389X07083026

A. Y. Sofla, D. M. Elzey, and H. N. Wadley, Cyclic degradation of antagonistic shape memory actuated structures, Smart Materials and Structures, 2008.
DOI : 10.1088/0964-1726/17/2/025014

G. Song, A Neural Network Inverse Model for a Shape Memory Alloy Wire Actuator, Journal of Intelligent Material Systems and Structures, vol.14, issue.6, pp.371-377, 2003.
DOI : 10.1177/1045389X03034628

G. Song and N. Ma, Robust control of a shape memory alloy wire actuated flap, Smart Materials and Structures, vol.16, issue.6, pp.51-57, 2007.
DOI : 10.1088/0964-1726/16/6/N02

M. Sreekumar, M. Singaperumal, T. Nagarajan, M. Zoppi, and R. Molfina, Recent advances in nonlinear control technologies for shape memory alloy actuators, Journal of Zhejiang University-SCIENCE A, vol.8, issue.5, pp.818-829, 2007.
DOI : 10.1631/jzus.2007.A0818

A. Suleman and C. Crawford, Design and testing of a biomimetic tuna using shape memory alloy induced propulsion, Computers & Structures, vol.86, issue.3-5, pp.491-499, 2008.
DOI : 10.1016/j.compstruc.2007.02.007

X. Tan and J. Baras, Adaptive identification and control of hysteresis in smart materials, IEEE Transactions on Automatic Control, vol.50, pp.827-839, 2005.

X. Tan and J. S. Baras, Modeling and control of hysteresis in magnetostrictive actuators, Automatica, vol.40, issue.9, pp.1469-1480, 2004.
DOI : 10.1016/j.automatica.2004.04.006

X. Tan, J. S. Baras, and P. S. Krishnaprasad, Control of hysteresis in smart actuators with application to micro-positioning, Systems & Control Letters, vol.54, issue.5, pp.483-492, 2005.
DOI : 10.1016/j.sysconle.2004.09.013

G. Tao, Adaptive control design and analysis, 2003.
DOI : 10.1002/0471459100

Y. H. Teh and R. Featherstone, A new control system for fast motion control of sma actuator wires, Proceedings of Shape Memory And Related Technologies, pp.24-26, 2004.

R. Tóth, Modeling and Identification of Linear Parameter Varying Systems:An Orthonormal Basis function approach, 2008.

R. Tóth, Modeling and identification of linear parameter-varying systems, of Lecture Notes in Control and Information Sciences, 2010.
DOI : 10.1007/978-3-642-13812-6

J. Van-humbeeck, Shape Memory Alloys: A Material and a Technology, Advanced Engineering Materials, vol.3, issue.11, pp.837-849, 2001.
DOI : 10.1002/1527-2648(200111)3:11<837::AID-ADEM837>3.0.CO;2-0

V. Verdult and M. Verhaegen, Subspace identification of multivariable linear parameter-varying systems, Automatica, vol.38, issue.5, pp.805-814, 2002.
DOI : 10.1016/S0005-1098(01)00268-0

A. Visintin, Differential Models of Hysteresis, 1994.
DOI : 10.1007/978-3-662-11557-2

B. Wahlberg, System identification using Laguerre models, IEEE Transactions on Automatic Control, vol.36, issue.5, pp.551-562, 1991.
DOI : 10.1109/9.76361

G. V. Webb, D. C. Lagoudas, and A. J. Kurdila, Hysteresis Modeling of SMA Actuators for Control Applications, Journal of Intelligent Material Systems and Structures, vol.6, issue.7, pp.432-448, 1998.
DOI : 10.1177/1045389X9800900605

E. A. Williams, G. Shaw, and M. Elahinia, Control of an automotive shape memory alloy mirror actuator, Mechatronics, vol.20, issue.5, pp.527-534, 2010.
DOI : 10.1016/j.mechatronics.2010.04.002

J. Zehetner, J. Reger, and M. Horn, A derivative estimation toolbox based on algebric methods-theory and practice, Proceedings of IEEE 2007 Multi- Conference on Systems and Control (MSC), 2007.

C. Zervos, P. R. Bélanger, and G. A. Dumont, On PID controller tuning using orthonormal series identification, Automatica, vol.24, issue.2, pp.165-175, 1988.
DOI : 10.1016/0005-1098(88)90025-8

Y. Zhu, Multivariable process identification for mpc: the asymptotic method and its applications, Journal of Process Control, vol.8, issue.2, pp.101-115, 1998.
DOI : 10.1016/S0959-1524(97)00035-8

Y. Zhu and F. Butoyi, Case studies on closed-loop identification for MPC, Control Engineering Practice, vol.10, issue.4, pp.403-417, 2002.
DOI : 10.1016/S0967-0661(02)00007-2