The ionic polymer metal composite (IPMC) is one type of electro-active material with the characteristics of low electric driving potential, large deformation, and aquatic manipulation. It is highly attractive to biomedical applications as an actuator or a sensor. The main purpose of this study is to explore closed-loop control schemes to an IPMC actuator for active catheter systems. In this article, by measuring frequency responses of a 20 mm × 5 mm × 200 μm IPMC, an empirical model is developed and used for closed-loop control. From previous work, two resonant peaks ranged at 3—4 Hz and 18—20 Hz are found in the Bode diagram for the frequency responses of IPMC. Based on this fact, a 4th order transfer function was modeled to describe the system. A parameter-dependent transfer function was then created to describe the bending dynamics of IPMC in response to different driving voltages. As IPMC actuators are nonlinear and slow time-varying systems, the controller was designed using linear parameter varying (LPV) approach. Compared with the conventional closed-loop PID control, the maximum overshoot and steady-state error was decreased to 2% and 1.32%, respectively. The rise time was about 0.186 s, which is within the limit for many biomedical applications.
Apkarian, P. and Gahinet, P.1995. ``A Convex Characterization of Gain-Scheduled H∞ Controllers,''IEEE Trans. on Automatic Control, 40(5):853-864.
2.
Becker, G.1993. Quadratic Stability and Performance of Linear Parameter Dependent Systems. PhD Thesis in University of California at Berkeley, California, USA.
3.
Boyd, S., El., Ghaoui, L., Feron, E. and Balakrishnan, V.1994. Linear Matrix Inequalities in System and Control Theory, Chapter 2: Some Standard Problems Involving LMIs, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, USA.
4.
Bao, X., Yoseph, B.C. and Lih S.S.2002. ``Measurements and Macro Models of Ionomeric Polymer-Metal Composites (IPMC),'' In: Proceedings of the SPIE Smart Structures and Materials Symposium, EAPAD Conference, San Diego, CA, pp. 4695-27.
5.
Bhat, N. and Kim, W.J.2004. ``Precision Force and Position Control of an Ionic Polymer Metal Composite,'' In: Proc. Inst. Mech. Eng. Part I-J Syst. Control Eng., 218(16):421-432.
6.
Chen, Z., Tan, X. and Shahinpoor, M.2005. ``Quasi-static Positioning of Ionic Polymer-Metal Composite (IPMC) Actuators,'' In: Proceedings of the 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics Monterey , California, USA, pp. 60-65.
7.
Dullerud, G.E. and Paganini, F.2000. A Course in Robust Control Theory: A Convex Approach , Springer, New York.
8.
El Ghaoui, L. and Niculescu, S. (eds.) 2000. Recent Advances on LMI Methods in Control, Chapter 1: Robust Decision Problems in Engineering: A Linear Matrix Inequality Approach, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, USA.
9.
Fang, B.K., Ju, M.S. and Lin, C.C.2007. ``A New Approach to Develop Ionic Polymer-metal Composites (IPMC) Actuator: Fabrication and Control for Active Catheter Systems , '' Sensors and Actuators A: Physical, 137:321-329.
10.
Guo, S., Nakamura, T. and Fukuda, T.1996. ``Micro Active Guide Wire Using ICPF Actuator-characteristic Evaluation, Electrical Model and Operability Evaluation,'' In: Proceedings of the 1996 IEEE IECON 22nd International Conference on Industrial Electronics, Control, and Instrumentation, Taipei, ROC, 1312-1317.
11.
Hyde, R.A. and Glover, K.1993. ``The Application of Scheduled H∞ Controllers to a VSTOL Aircraft,''IEEE Trans. on Automatic Control, 38(7):1021-1039.
12.
Haga, Y., Tanahashi, Y. and Esashi, M.1998. ``Small Diameter Active Catheter Using Shape Memory Alloy,'' In: Proceedings of the IEEE Micro Electro Mechanical Systems (MEMS), pp. 419-424.
13.
Haga, Y., Esashi, M. and Maeda, S.2000. ``Bending, Torsional and Extending Active Catheter Assembled Using Electroplating,'' In: Proceedings of the IEEE Micro Electro Mechanical Systems (MEMS), pp. 181-186.
14.
Haga, Y., Mineta, T. and Esashi, M.2002. ``Active Catheter, Active Guide Wire and Related Sensor Systems,'' In: Proceedings of the 5th Biannual World Automation Congress, pp. 291-296.
15.
Ishiyama, K., Sendoh, M. and Arai, K.I.2002. ``Magnetic Micromachines for Medical Applications,''J. Magn. Magn. Mater., 242:41-46.
16.
Ikuta, K., Ichikawa, H., Suzuki, K. and Yamamoto, T.2003. ``Safety Active Catheter with Multi-segments Driven by Innovative Hydro-pressure Micro Actuators,'' In: Proceedings of the IEEE Micro Electro Mechanical Systems (MEMS), pp. 130-135.
17.
Jung, K., Namb, J. and Choi, H.2003. ``Investigations on Actuation Characteristics of IPMC Artificial Muscle Actuator,''Sens. Actuator A-Phys. , 107(2):183-192.
18.
Kelly, J.H. and Evers, J.H.1997. ``An Interpolation Strategy for Scheduling Dynamic Compensators,'' In: AIAA Guidance, Navigation, and Control Conference , New Orleans, LA, Aug. 11-13, pp. 1682-1690.
19.
Kaneda, Y., Kamamichi, N., Yamakita, M., Asaka, K. and Luo, Z.W.2003. ``Control of Linear Artificial Muscle Actuator Using IPMC,'' In: SICE Annual Conference in Fukui, pp. 218-213.
20.
Kim, B., Kim, D.H., Kim, J.H., Jung, and Park. J.O.2005. ``A Biomimetic Undulatory Tadpole Robot using Ionic Polymer-metal Composite Actuators,''Smart Mater. Struct., 14(6):1579-1585.
21.
Kim, D. and Kim, K.J.2006. ``Experimental Investigation on Electrochemical Properties of Ionic Polymer-Metal Composite,''J. Intell. Mater. Syst. Struct., 17(5):449-455.
22.
Leith, D.J. and Leithead, W.E.2000. ``Survey of Gain-Scheduling Analysis and Design , '' International Journal of Control, 73(11):1001-1025.
23.
Lavu, B.C., Schoen, M.P. and Mahajan, A.2005. Adaptive Intelligent Control of Ionic Polymer-Metal Composites , Smart Mater. Struct., 14(4):466-474.
24.
Mallavarapu, K. and Leo, D.J.2001. ``Feedback Control of the Bending Response of Ionic Polymer Actuators,''J. Intell. Mater. Syst. Struct., 12(3):143-155.
25.
Mineta, T., Mitsui, T., Watanabe, Y., Kobayashi, S., Haga, Y. and Esashi, M.2001. ``Batch Fabricated Flat Meandering Shape Memory Alloy Actuator for Active Catheter,'' Sensors and Actuators A, 88(2):112-120.
26.
The MathWorks, Inc.1995. LMI Control Toolbox User' Guide. Chapter 9: Command Reference , Natick, MA, USA.
27.
Nichols, R.A., Reichert, R.T. and Rugh, W.J.1993. ``Gain Scheduling for H∞ Controllers: A Flight Control Example,''IEEE Trans. Control Systems Technology , 1(2):69-79.
28.
Ogata, K.2002. Modern Control Engineering, 4th edn, Chapter 10: PID Controls and Two-Degrees-of-Freedom Control Systems, Prentice Hall, NJ, U.S.A.
29.
Packard, A.1994. ``Gain Scheduling via Linear Fractional Transformations ,'' System and Control Letters, 22(2):79-92.
30.
Park, K.T. and Esashi, M.1999. ``A Multilink Active Catheter with Polyimide-based Integrated CMOS Interface Circuits,''J. Microelectromech. Syst., 8(4):349-356.
31.
Paquette, J.W. and Kim, K.J.2004. Ionomeric Electroactive Polymer Artificial Muscle for Naval Applications, IEEE J. Ocean. Eng., 29(3):729-737.
32.
Rugh, W.J.1991. ``Analytical Framework for Gain Scheduling, '' IEEE Control System Magazine, 11(1):79-84.
33.
Rugh, W.J. and Shamma, J.S.2000. ``Research on Gain Scheduling, '' Automatica , 36(10):1401-1425.
34.
Shamma, J.S. and Athans, M.1990. ``Analysis of Gain Scheduled Control for Nonlinear Plants,''IEEE Trans. on Automatic Control, 35(8):898-907.
35.
Shamma, J. and Ahtans, M.1991. ``Guaranteed Properties of Gain Scheduled Control of Linear Parameter-varying Plants,'' Automatica, 27(3):559-564.
36.
Shamma, J.S. and Athans, M.1992. ``Gain Scheduling: Potential Hazards and Possible Remedies ,'' IEEE Control System Magazine, 12(3):101-107.
37.
Skogestad, S. and Postlethwaite, I.1996. Multivariable Feedback Control: Analysis and Design, Chapter 2: Classical Feedback Control, Wiley, New York.
38.
Shahimpoor, M. and Kim, K.J.2001. ``Ionic Polymer-metal Composites: I. Fundamentals,''Smart Mater. Struct., 10(4):819-833.
39.
Zhou, K. and Doyle, J.C.1998. Essentials of Robust Control, Chapter 6: Performance Specifications and Limitations, Prentice Hall, Upper Saddle River, NJ, USA.
