Abstract
Robust controller synthesis is of great practical interest and its automation is a key concern in control system design. Automatic controller synthesis is still a open problem. In this paper a new, efficient method has been proposed for automated synthesis of a fixed structure quantitative feedback theory (QFT) controller by solving QFT quadratic inequalities of robust stability and performance specifications. The controller synthesis problem is posed as interval constraint satisfying problem (ICSP) and solved with interval constraint solver (realpaver) [1]. The method is guaranteed to find all feasible controllers of given structure in the search domain. The controller designed using proposed method is experimentally tested on ECP’s Magnetic Levitation system [2] which has open loop stable and unstable configurations.
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References
Granvilliers, L., Benhamou, F.: RealPaver: An Interval Solver using Constraint Satisfaction Techniques. ACM Transaction on Mathematical Software 32, 138–156 (2006)
Manual for Model 730, Magnetic Levitation System. Educational Control Products, California, USA (1999)
Horowitz, I.M.: Quantitative feedback design theory (QFT). QFT Publications, Boulder (1993)
Bryant, G.F., Halikias, G.D.: Optimal loop-shaping for systems with large parameter uncertainty via linear programming. Int. J. Control 62(3), 557–568 (1995)
Chait, Y., Chen, Q., Hollot, C.V.: Automatic loop-shaping of QFT controllers via linear programming. Trans. of the ASME Journal of Dynamic Systems, Measurement and Control 121, 351–357 (1999)
Gera, A., Horowitz, I.M.: Optimization of the loop transfer function. Int. J. Control 31, 389–398 (1980)
Chait, Y., Yaniv, O.: MISO computer aided control design using QFT. International Journal of Robust and Nonlinear Control (1998)
Chen, W., Ballance, D.J., Li, Y.: Automatic loop-shaping in qft using genetic algorithms. In: Proceedings of 3rd Asia-Pacific Conference on Control and Measurement, pp. 63–67 (1998)
Garcia-Sanz, M., Guillen, J.C.: Automatic loop-shaping of QFT robust controllers via genetic algorithms. In: Proceedings of the 3rd IFAC Symposium on Robust Control Design, Kidlington, U.K. (2000)
Paluri, N.S.V., Tharewal, S.: An interval analysis algorithm for automated controller synthesis in QFT designs. Trans. of the ASME Journal of Dynamic Systems, Measurement and Control 129, 311–321 (2007)
Thomspon, D.F., Nwokah, O.D.I.: Analytical loop shaping methods in quantitative feedback theory. Trans. of the ASME Journal of Dynamic Systems, Measurement and Control 116, 169–177 (1994)
Chait, Y., Tsypkin, Y.: SISO QFT design with Non-parametric Uncertainties. Presentation at the 1993 American Control Conference. University of Massachusetts, USA, pp. 1694–1695 (1993)
Chait, Y., Yaniv, O.: Multi-input/single-output computer-aided control design using quantitative feedback theory. International Journal of Robust and Nonlinear Control 3(1), 47–54 (1993)
Benhamou, F., Goualard, F., Granvilliers, L.: Revising hull and box consistency. In: Proc. of 16th International Conference on Logic Programming, pp. 230–244 (1999)
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Nataraj, P.S.V., Patil, M.D. (2014). Reliable and Robust Automated Synthesis of QFT Controller for Nonlinear Magnetic Levitation System Using Interval Constraint Satisfaction Techniques. In: Ceberio, M., Kreinovich, V. (eds) Constraint Programming and Decision Making. Studies in Computational Intelligence, vol 539. Springer, Cham. https://doi.org/10.1007/978-3-319-04280-0_15
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DOI: https://doi.org/10.1007/978-3-319-04280-0_15
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-04279-4
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