Takagi-Sugeno Fuzzy Controller for a 3-DOF Stabilized Platform with Adaptive Decoupling Scheme
This paper presents a fuzzy control system for a three degree of freedom (3-DOF) stabilized platform with explicit decoupling scheme. The system under consideration is a system with strong interactions between three channels. By using the concept of decentralized control, a control structure is developed that is composed of three control loops, each of which is associated with a single-variable fuzzy controller and a decoupling unit. Takagi-Sugeno (TS) fuzzy control algorithm is used to implement the fuzzy controller. The decoupling units design is based on the adaptive theory reasoning. Simulation tests were established using Simulink of Matlab. The obtained results have demonstrated the feasibility and effectiveness of the proposed approach. Simulation results are represented in this paper.
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[5] J. Nie, "Fuzzy control of multivariable nonlinear servomechanisms with
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304-311, May 1997.
[6] L. Shi and S. K. Singh, "Decentralized adaptive controller design for
large-scale systems with higher order interconnections," IEEE Trans.
Automat. Contr., vol. 37, pp. 1106-1118, Aug. 1992.
[7] Z. M. Yeh, "A Systematic Method for Design of Multivariable Fuzzy
Logic Control Systems," IEEE Transactions on Fuzzy Systems, Vol. 7,
No. 5, pp.741-752, Oct. 1999.
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Automatica, vol. 32, no. 2, pp. 167-181, 1996.
[9] C. C. Lee, "Fuzzy logic in control systems: Fuzzy logic controller, part I,
II," IEEE Trans. Syst., Man, Cybern., vol. 20, pp. 404-435, Apr. 1990.
[10] M. Sugeno, Ed., Industrial Application of Fuzzy Control. Amsterdam,
The Netherlands: North-Holland, 1985.
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Stabilized Platform," International conference on Measuring Technology
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Stabilized Platform," 2011 International Conference on Computer
Control and Automation, Vol. 1, pp. 20-25, 2011.
[13] Takagi, T. and M. Sugeno, Fuzzy identification of systems and its
applications to modeling and control," IEEE Transactions on Systems,
Man and Cybernetics, vol 15, pp.116-132, 1985.
[14] H. Ying, "General Takagi-Sugeno Fuzzy Systems Are Universal
Approximators," The 1998 IEEE International Conference on Fuzzy
Systems Proceedings, vol.1, pp. 819 - 823, 1998.
[15] T. H. Lee, E. K. Koh, and M. K. Loh,"Stable adaptive Control of
Multivariable Servomechanisms, with Application to passive
line-of-Sight Stabilization System," IEEE Transactions on Industrial
Electronics, vol. 43, No.1, pp. 98-105, February 1996.
[1] J. M. Hilkert, " Inertially stabilized platform technology Concepts and
principles," IEEE Control Systems Magazine, Vol. 28, pp. 26-46, 2008.
[2] J. Debruin, " Control Systems for Mobile Satcom Antennas," IEEE
Control Systems Magazine, Vol. 28, No. 1, pp. 86 - 101, 2008.
[3] D. A. Linkens and H. O. Nyongesa, "A hierarchical multivariable fuzzy
controller for learning with genetic algorithms," Int. J. Contr., vol. 63, no.
5, pp. 865-883, 1998.
[4] P. G. Lee, K. K. Lee, and G. J. Jeon, "An index of applicability for the
decomposition method of mu1tivariable fuzzy systems," IEEE Trans.
Fuzzy Syst., vol. 3, pp. 364-369, Aug. 1995.
[5] J. Nie, "Fuzzy control of multivariable nonlinear servomechanisms with
explicit decoupling scheme," IEEE Trans. Fuzzy Syst., vol. 5, pp.
304-311, May 1997.
[6] L. Shi and S. K. Singh, "Decentralized adaptive controller design for
large-scale systems with higher order interconnections," IEEE Trans.
Automat. Contr., vol. 37, pp. 1106-1118, Aug. 1992.
[7] Z. M. Yeh, "A Systematic Method for Design of Multivariable Fuzzy
Logic Control Systems," IEEE Transactions on Fuzzy Systems, Vol. 7,
No. 5, pp.741-752, Oct. 1999.
[8] F. L. Lewis and K. Liu, "Toward a paradigm for fuzzy logic control,"
Automatica, vol. 32, no. 2, pp. 167-181, 1996.
[9] C. C. Lee, "Fuzzy logic in control systems: Fuzzy logic controller, part I,
II," IEEE Trans. Syst., Man, Cybern., vol. 20, pp. 404-435, Apr. 1990.
[10] M. Sugeno, Ed., Industrial Application of Fuzzy Control. Amsterdam,
The Netherlands: North-Holland, 1985.
[11] S. Leghmizi, S. Liu, "Kinematics Modeling for Satellite Antenna Dish
Stabilized Platform," International conference on Measuring Technology
and Mechatronics Automation, Vol. 2, pp. 558 - 563, 2010.
[12] S. Leghmizi, et al. " Dynamics Modeling for Satellite Antenna Dish
Stabilized Platform," 2011 International Conference on Computer
Control and Automation, Vol. 1, pp. 20-25, 2011.
[13] Takagi, T. and M. Sugeno, Fuzzy identification of systems and its
applications to modeling and control," IEEE Transactions on Systems,
Man and Cybernetics, vol 15, pp.116-132, 1985.
[14] H. Ying, "General Takagi-Sugeno Fuzzy Systems Are Universal
Approximators," The 1998 IEEE International Conference on Fuzzy
Systems Proceedings, vol.1, pp. 819 - 823, 1998.
[15] T. H. Lee, E. K. Koh, and M. K. Loh,"Stable adaptive Control of
Multivariable Servomechanisms, with Application to passive
line-of-Sight Stabilization System," IEEE Transactions on Industrial
Electronics, vol. 43, No.1, pp. 98-105, February 1996.
@article{"International Journal of Information, Control and Computer Sciences:59906", author = "S. Leghmizi and S. Liu and F. Naeim", title = "Takagi-Sugeno Fuzzy Controller for a 3-DOF Stabilized Platform with Adaptive Decoupling Scheme", abstract = "This paper presents a fuzzy control system for a three degree of freedom (3-DOF) stabilized platform with explicit decoupling scheme. The system under consideration is a system with strong interactions between three channels. By using the concept of decentralized control, a control structure is developed that is composed of three control loops, each of which is associated with a single-variable fuzzy controller and a decoupling unit. Takagi-Sugeno (TS) fuzzy control algorithm is used to implement the fuzzy controller. The decoupling units design is based on the adaptive theory reasoning. Simulation tests were established using Simulink of Matlab. The obtained results have demonstrated the feasibility and effectiveness of the proposed approach. Simulation results are represented in this paper.
", keywords = "3-DOF platform of a ship carried antenna, the concept of decentralized control, Takagi-Sugeno (TS) fuzzy control algorithm, Simulink.", volume = "5", number = "12", pages = "1677-7", }
