Abstract
In this paper Ionic Polymer-Metal Composites (IPMC) actuators motion control is addressed by using a new approach based on the modified fractional super twisting control strategy. We present the theoretical aspect of the proposed control strategy and then the performances of the controlling strategy are validated for an IPMC actuator by using an ad hoc developed experimental setup. The reported results show that the standard fractional super twisting control and the proposed modified fractional super twisting control over perform standard PI controllers.
References
[1] K. Ahn, D. Truong, D. Nam, J. Il Yoon, S. Yokota, Position control of ionic polymer metal composite actuator using quantitative feedback theory. Sensors and Actuators A 159, No 2 (2010), 204-212.Suche in Google Scholar
[2] X. Bao, Y. Bar-Cohen, S. Lih, Measurements and macro models of ionomeric polymer-metal composites (IPMC). In: Proc. EAPAD Conference, SPIE Smart Structures and Materials Symposium, San Diego, CA, Paper 4695-27 (2002).Suche in Google Scholar
[3] B. Bandyopadhyay, S. Kama, Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach. Springer (2015).10.1007/978-3-319-08621-7Suche in Google Scholar
[4] C. Bonomo, P. Brunetto, L. Fortuna, P. Giannone, S. Graziani, S. Strazzeri, A tactile sensor for biomedical applications based on IPMC. IEEE Sensors Juornal 8 (2008), 1486-1493.Suche in Google Scholar
[5] C. Bonomo, L. Fortuna, P. Giannone, S. Graziani, S. Strazzeri, A nonlinear model for ionic polymer metal composites as actuators. Smart Mater. and Struct. 16, No 1 (2007), 1-12.Suche in Google Scholar
[6] P. Brunetto, L. Fortuna, P. Giannone, S. Graziani, S. Strazzeri, Static and dynamic characterization of the temperature and humidity influence on IPMC actuators. IEEE Trans. on Instrumentation and Measurement 59, No 4 (2010), 893-908.Suche in Google Scholar
[7] A. Calderon, B. Vinagre, V. Feliu, On fractional sliding mode control. In: 7th Portuguese Conference on Automatic Control (Controlo 2006), Lisbon, Portugal (2006).Suche in Google Scholar
[8] R. Caponetto, G. Dongola, L. Fortuna, S. Graziani, S. Strazzeri, A fractional model for IPMC actuators. In: IEEE International Instrumentation and Measurement Technology Conference, Canada (2008), 2103-2107.10.1109/IMTC.2008.4547395Suche in Google Scholar
[9] R. Caponetto, V. De Luca, S. Graziani, F. Sapuppo, E. Umana, A multi-physics model of an IPMC actuator in the electrical, chemical, mechanical and thermal domains. In: Chemical, Mechanical and Thermal Domains, SMACD 2012, Seville, Sept. 18-21 (2012), 157-160.10.1109/SMACD.2012.6339441Suche in Google Scholar
[10] Y. Cohen-Bar, Electro-active polymers: Current capabilities and challenges. In: Proc. of SPIE Smart Structures and Materials Symposium, EAPAD Conference, San Diego, CA, March 18-21 (2002), 4695-4702.Suche in Google Scholar
[11] H. Delavaria, R. Ghaderia, A. Ranjbara, S. Momanib, Fuzzy fractional order sliding mode controller for nonlinear systems. Commun. in Nonlinear Sci. and Numer. Simulation 15, No 4 (2010), 963-978.Suche in Google Scholar
[12] C. Edwards, S. Spurgeon, Sliding Mode Control: Theory And Applications. CRC Press, London (1998).10.1201/9781498701822Suche in Google Scholar
[13] M.Ö. Efe, Fractional order sliding mode controller design for fractional order dynamic systems. In: New Trends in Nanotechnology and Fractional Calculus Applications (Eds. D. Baleanu, Z. Given, J. Tenreiro Machado), Springer (2010), 463-470.10.1007/978-90-481-3293-5_40Suche in Google Scholar
[14] M. Efe, C. Kasnakog̃lu, A fractional adaptation law for sliding mode control. Internat. J. of Adaptive Control and Signal Processing 22 (2008), 968-986.10.1002/acs.1062Suche in Google Scholar
[15] B. Fang, C. Lin, M. Ju, Adaptive control of ionic polymer-metal composite in air and under water using a modified self-tuning regulator embedded with integral action. Smart Mater. Struct. 20 (2011), 105-116.Suche in Google Scholar
[16] B. Jakovljevic, A. Pisano, M.R. Rapaic, E. Usai, On the sliding-mode control of fractional-order nonlinear uncertain dynamics. Internat. J. of Robust and Nonlinear Control, Published online: 23 March 2015; DOI: 10.1002/rnc.3337.10.1002/rnc.3337Suche in Google Scholar
[17] T. Johnson, F. Amirouche, Multiphysics modeling of an IPMC microfluidic control device. Microsystem Technologies 14, No 6 (2008), 871-879.Suche in Google Scholar
[18] S. Kang, J. Shin, S.J. Kim, H.J. Kim, Y.H. Kim, Robust control of ionic polymer-metal composites. Smart Mater. Struct. 16 (2007), 2457-2463.Suche in Google Scholar
[19] S. Kang, W. Kim, H.J. Kim, J. Park, Adaptive feedforward control of ionic polymer metal composites with disturbance cancellation. J. of Mechanical Science and Technology 26, No 1 (2912), 205-212.Suche in Google Scholar
[20] A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations. Elsevier, The Netherlands (2006).Suche in Google Scholar
[21] R. Kanno, A. Kurata, M. Hattori, S. Tadokoro, T. Takamori, K. Oguro, Characteristics and modeling of ICPF actuator. In: Proc. of the Japan- USA Symposium on Flexible Automation 2 (1994), 691-698.Suche in Google Scholar
[22] S. Ladaci, A. Charef, On fractional adaptive control. Nonlinear Dynamics 43, No 4 (2006), 365-378.Suche in Google Scholar
[23] B. Lavu, M.P. Schoen, A. Mahajan, Adaptive intelligent control of ionic polymer-metal composites. Smart Mater. Struct. 14 (2005), 466-474.Suche in Google Scholar
[24] A. Levant, Sliding order and sliding accuracy in sliding mode control. Int. J. Contr. 58 (1993), 1247-1263. Suche in Google Scholar
[25] K. Mallavarapu, D.J. Leo, Feedback control of the bending responce of ionic polymer actuators. J. Intell. Mat. Sys. Struct. 12, No 3 (2001), 143-145.Suche in Google Scholar
[26] J. Moreno, M. Osorio, A Lyapunov approach to second-order sliding mode controllers and observers. In: Proc. 47th IEEE Conference on Decision and Control, Cancun (MX) (2008), 2856-2861.10.1109/CDC.2008.4739356Suche in Google Scholar
[27] S. Nemat-Nasser, J. Li, Electromechanical response of ionic polymermetal composites. J. of Appl. Physics 87 (2000), 3321-3331.Suche in Google Scholar
[28] S. Nemat-Nasser, Micromechanics of actuation of ionic polymer-metal composites (IPMC). Journal of Applied Physics 92 (2002), 2899-2915.Suche in Google Scholar
[29] K. Newbury, D. Leo, Electromechanical modeling and characterization of ionic polymer benders. J. of Intelligent Material Systems and Structures 13, No 1 (2002), 51-60.Suche in Google Scholar
[30] J. Paquette, K. Kim, J. Nam, J. Tak, An equivalent circuit model for ionic polymer-metal composites and their performance imporvement by a clay-based polymer nano-composite technique. J. of Intelligent Material Systems and Structures 14 (2003), 633-642.Suche in Google Scholar
[31] J. Penella, K. Tsiakmakis, T. Laopoulos, M.P. Vidal, Model reference adaptive control for an ionic polymer metal composite in underwater applications. Smart Materials and Structures 17, No 4 (2008).10.1088/0964-1726/17/4/045020Suche in Google Scholar
[32] W. Perruquetti, J. Barbot, Sliding Mode Control In Engineering - Automation and Control Engineering. CRC Press, London (2002).10.1201/9780203910856Suche in Google Scholar
[33] A. Pisano, M.R. Rapai´c, Z.D. Jeliˇci´c, E. Usai, Sliding mode control approaches to the robust regulation of linear multivariable fractionalorder dynamics. Internat. J. of Robust and Nonlinear Control 20, No 18 (2010), 2045-2056.Suche in Google Scholar
[34] A. Pisano, M.R. Rapaić, Z.D. Jeličić, E. Usai, Second-order sliding mode approaches to disturbance estimation and fault detection in fractional-order systems. In: Proc. of the 18th IFAC Triennal World Congress IFAC WC 2011 (2011).10.3182/20110828-6-IT-1002.00984Suche in Google Scholar
[35] I. Podlubny, Fractional Differential Equations. Academic Press, Boston etc. (1999).Suche in Google Scholar
[36] R. Richardson, M. Levesley, M. Brown, J. Hawkes, K. Watterson, P. Walker, Control of ionic polymer metal composites. IEEE/ASME Transaction on Mechatronics 8, No 2 (2003), 245-253.Suche in Google Scholar
[37] J. Sabatier, O. Agrawal, J. Tenreiro Machado, Advances in Fractional Calculus - Theoretical Developments and Applications. Physics and Engineering Ser., Springer, Berlin (2007).10.1007/978-1-4020-6042-7Suche in Google Scholar
[38] A. Saichev, W. Woyczynski, Distributions in the Physical and Engineering Sciences. Vol. I: Distributional and Fractal Calculus, Integral Transforms and Wavelets. Birkhauser, Boston (1996). Suche in Google Scholar
[39] M. Shahinpoor, J. Kim, Ionic polymermetal composites: I. Fundamentals. Smart Mater. Struct. 10 (2001), 819-833.Suche in Google Scholar
[40] M. Shahinpoor, J. Kim, Ionic polymer-metal composites: IV. Industrial and medical applications. Smart Mater. Struct. 14 (2005), 197-214.Suche in Google Scholar
[41] M. Shahinpoor, J. Kim, Ionic polymer-metal composites: III. Modeling and simulation as biomimetic sensors, actuators, transducers, and artificial muscles. Smart Mater. Struct. 13 (2004), 1362-1388.10.1088/0964-1726/13/6/009Suche in Google Scholar
[42] Y. Shan, K. Leang, Frequency-weighted feedforward control for dynamic compensation in ionic polymer-metal composite actuators. Smart Mater. Struct. 18 (2009), 125-116.Suche in Google Scholar
[43] A. Si-Ammour, S. Djennoune, M. Bettayeb, A sliding mode control for linear fractional systems with input and state delays. Commun. in Nonlinear Sci. and Numer. Simulation 14, No 5 (2009), 2310-2318.Suche in Google Scholar
[44] Z. Sun, L. Hao, W. Chen, Z. Li, L. Liu, A novel discrete adaptive sliding-mode - like control method for ionic polymeric metal composite manipulators. Smart Material and Structur. 22, No 9 (2013).10.1088/0964-1726/22/9/095027Suche in Google Scholar
[45] S. Tadokoro, S. Yamagami, T. Takamori, K. Oguro, Modeling of Nafion-Pt composite actuators (ICPF) by ionic motion. Proc. of the SPIE 3987 (2000), 92-102.Suche in Google Scholar
[46] Y. Tanga, X. Zhanga, D. Zhanga, G. Zhaoc, X. Guand, Fractional order sliding mode controller design for antilock braking systems. Neurocomputing 111, No 2 (2013), 122-130.Suche in Google Scholar
[47] B. Vinagre, I. Petras, I. Podlubny, Y. Chen, Using fractional order adjustment rules and fractional order reference models in model reference adaptive control. Nonlinear Dyn. 29, No 14 (2002), 269-279.Suche in Google Scholar
[48] Y. Xiao, K. Bhattacharya, Modeling electromechanical properties of ionic polymers. Proc. of the SPIE 4329 (2001), 292-300.Suche in Google Scholar
[49] K. Yun, W.J. Kim, Microscale position control of an electroactive polymer using an anti-windup scheme. Smart Materials and Structures 15, No 4 (2006); DOI: 10.1088/0964-1726/15/4/004. 10.1088/0964-1726/15/4/004Suche in Google Scholar
© Diogenes Co., Sofia
Artikel in diesem Heft
- Contents – Fcaa, Vol. 18, No 6 (2015)
- FCAA Related News, Events and Books (Fcaa–Volume 18–6–2015)
- Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group
- Necessary Conditions to Solve Fractional Order Wave Equations Using Traditional Laplace Transforms
- Identification and Fractional Super-Twisting Robust Control of IPMC Actuators
- Controllability of Abstract Systems of Fractional Order
- Dissipativity and Stability Analysis for Fractional Functional Differential Equations
- A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems
- Sliding Mode Control for a Class of Sub-Systems with Fractional Order Varying Trajectory Dynamics
- Implicit Difference Scheme of the Space-Time Fractional Advection Diffusion Equation
- Multiplicity of Nontrivial Solutions for Boundary Value Problem for Impulsive Fractional Differential Inclusions Via Nonsmooth Critical Point Theory
- Global Padé Approximations of the Generalized Mittag-Leffler Function and its Inverse
- On the Invalidity of Fourier Series Expansions of Fractional Order
- Fractional State Space Analysis of Temperature Time Series
Artikel in diesem Heft
- Contents – Fcaa, Vol. 18, No 6 (2015)
- FCAA Related News, Events and Books (Fcaa–Volume 18–6–2015)
- Nonexistence of Solutions of Some Non-Linear Non-Local Evolution Systems on the Heisenberg Group
- Necessary Conditions to Solve Fractional Order Wave Equations Using Traditional Laplace Transforms
- Identification and Fractional Super-Twisting Robust Control of IPMC Actuators
- Controllability of Abstract Systems of Fractional Order
- Dissipativity and Stability Analysis for Fractional Functional Differential Equations
- A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems
- Sliding Mode Control for a Class of Sub-Systems with Fractional Order Varying Trajectory Dynamics
- Implicit Difference Scheme of the Space-Time Fractional Advection Diffusion Equation
- Multiplicity of Nontrivial Solutions for Boundary Value Problem for Impulsive Fractional Differential Inclusions Via Nonsmooth Critical Point Theory
- Global Padé Approximations of the Generalized Mittag-Leffler Function and its Inverse
- On the Invalidity of Fourier Series Expansions of Fractional Order
- Fractional State Space Analysis of Temperature Time Series