Abstract
Due to the presence of right-half plane zeroes in the transfer function of a nonminimum-phase plant, conventionally designed feedforward controller becomes unstable. Main focus of this article is put on a comparison of the Extended Bandwidth Zero Phase Error and recently proposed fixed-structure approximate inverse feedforward control design methods applicable to the nonminimum-phase systems. Comparison of the techniques presented in the paper is based on the frequency analysis of a closed-loop error transfer function, followed by simulation examples and experimental validation on a laboratory setup with a double-drum coiling machine. Both simulation and experimental results showed the superiority of trajectory tracking obtained by the fixed-structure approximate inverse method under the assumed conditions.
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References
1. J.A. Butterworth and D.Y. Abramovitch. Analysis and comparison of three discrete-time feedforward model-inverse control techniques for nonminimum-phase systems. Mechatronics, 22:577–587, 2012.
2. J.A. Butterworth, L.Y. Pao, and D.Y. Abramovitch. The effect of nonminimum-phase zero locations on the performance of feedforward model-inverse control techniques in discrete-time systems. 2008 American Control Conference, pages 2696–2702, Seattle, Washington, USA, June 11-13 2008.
3. P. H. Chang and G. R. Cho. Enhanced feedforward control of non-minimum phase systems for tracking predefined trajectory. Int J Control, 83(12):2440–2452, 2010.
4. Editors: H. Garnier and L. Wang. Identification of Continuous-time Models from Sampled Data, Chapter 1. Springer, 2008.
5. J. B. Hoagg and D.S. Bernstein. Nonminimum-phase zeros, much to do about nothing. IEEE Control Systems Magazine, pages 45–57, June 2007.
6. M. M. Michałek. Fixed-structure feedforward control law for minimum- and nonminimum-phase LTI SISO systems. IEEE Trans. Control Syst. Technol., 24(4):1382–1393, 2016.
7. H. Park, P.H. Chang, and D.Y. Lee. Trajectory planning for the tracking control of systems with unstable zeros. Mechatronics, 13:127–139, 2003.
8. B.P. Rigney, L.Y. Pao, and D.A. Lawrence. Nonminimum phase dynamic inversion for settle time applications. IEEE Trans. Control Sysy. Technol., 17(5):989–1005, 2009.
9. D. E. Torfs, R. Vuerinckx, J. Swevers, and J. Schoukens. Comparison of two feedforward design methods aiming at accurate trajectory tracking of the end point of a flexible robot arm. IEEE Trans. Control Syst. Technol, 6(1):2–14, January 1998.
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Łakomy, K., Michałek, M.M. (2017). Comparison of the feedforward control design methods for nonminimum-phase LTI SISO systems with application to the double-drum coiling machine. In: Mitkowski, W., Kacprzyk, J., Oprzędkiewicz, K., Skruch, P. (eds) Trends in Advanced Intelligent Control, Optimization and Automation. KKA 2017. Advances in Intelligent Systems and Computing, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-60699-6_24
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DOI: https://doi.org/10.1007/978-3-319-60699-6_24
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