References
- Almodaresi, E. , Bozorg, M. , & Taghirad, H. D. (2016). Stability domains of the delay and PID coefficients for general time-delay systems. International Journal of Control, 89 (4), 783–792. doi:10.1080/00207179.2015.1099166
- Åström, K. J. , & Hägglund, T. (1995). PID controllers: theory, design, and tuning (2nd ed.). Research Triangle Park, NC: Instrument Society of America.
- Balaguer, P. , (2013). Application of dimensional analysis in systems modeling and control design . Control Engineering Series 90 (p. 142). London: The Institution of Engineering and Technology.
- Balaguer, P. , Ibeas, A. , Pedret, C. , & Alcántara, S. (2009). Controller parameter dependence on model information through dimensional analysis. In Proceedings of IEEE conference on decision and control (pp. 1914–2019). Shanghai: The Institution of Engineering and Technology.
- Brennan, S. N. , & Alleyne, A. (2001). Robust scalable vehicle control via non-dimensional vehicle dynamics. Vehicle System Dynamics, 36 , 255–277.
- Fišer, J. , Zítek, P. , & Kučera, V. (2014). IAE optimization of delayed PID control loops using dimensional analysis approach. In Proceedings of 6th international symposium on communications, control and signal processing (ISCCSP) (pp. 262–265). Athens: IEEE.
- Hailu, H. , & Brennan, S. N. (2005). Use of dimensional analysis to reduce the parametric space for gain-scheduling. In Proceedings of ACC’05, Portland (pp. 598–602). New York: IEEE.
- Hua, C. , Li, Y. , Liu, D. , & Guan, X. (2016). Stability analysis for fractional-order PD controlled delayed systems. Journal of the Franklin Institute, 353 , 3118–3132. doi:10.1016/j.jfranklin.2016.05.002
- Huba, M. (2013). Comparing 2DOF PI and predictive disturbance observer based filtered PI control. Journal of Process Control, 23 (10), 1379–1400. doi:10.1016/j.jprocont.2013.09.007
- Hwang, S. H. , & Chang, H. C. (1987). A theoretical examination of closed-loop properties and tuning methods of single loop PI controllers. Chemical Engineering Science, 42 , 2395–2415.
- Hwang, S. H. , & Fang, S. M. (1995). Closed loop tuning method based on dominant pole placement. Chemical Engineering Communication, 136 , 45–66. doi:10.1080/00986449508936353
- Liu, J. , Wang, H. , & Zhang, Y. (2015). New result on PID controller design of LTI systems via dominant eigenvalue assignment. Automatica, 62 , 93–97. doi:10.1016/j.automatica.2015.09.009
- Panagopoulos, H. , & Åström, K. J. (1999). PID control design and H ∞ loop shaping. In Proceedings of the IEEE international conference on control applications (Vol. 1, pp. 103–108). New York, NY: IEEE.
- Persson, P. , & Åström, K. J. (1993). Dominant pole design–a unified view of PID controller tuning. In L. Dugard , M. Saad , & I. D. Landau (Eds.), Adaptive systems in control and signal processing (pp. 377–382). Oxford: Pergamon Press.
- Quesada, E. S. E. , Carrillo, L. R. G. , Ramírez, A. , & Mondié, S. (2016). Algebraic dominant pole placement methodology for unmanned aircraft systems with time delay. IEEE Transactions on Aerospace and Electronic Systems, 52 (3), 1108–1119. doi:10.1109/TAES.2016.140800
- Ramírez, A. , Mondié, S. , Garrido, R. , & Sipahi, R. (2016). Design of proportional-integral-retarded (PIR) controllers for second-order LTI systems. IEEE Transactions on Automatic Control, 61 (6), 1688–1693. doi:10.1109/TAC.2015.2478130
- Srivastava, S. , Misra, A. , Thakur, S. K. , & Pandit, V. S. (2016). An optimal PID controller via LQR for standard second order plus time delay systems. ISA Transactions, 60 , 244–253. doi:10.1016/j.isatra.2015.11.020
- Srivastava, S. , & Pandit, V. S. (2016). A PI/PID controller for time delay systems with desired closed loop time response and guaranteed gain and phase margins. Journal of Process Control, 37 , 70–77. doi:10.1016/j.jprocont.2015.11.001
- Szirtes, T. , & Rozsa, P. (2007). Applied dimensional analysis and modeling (p. 820). Oxford: Butterworth-Heinemann.
- Tang, W. , Wang, Q. G. , Ye, Z. , & Hang, C. C. (2007). PID tuning for dominant poles and phase margin. Asian Journal of Control, 9 , 466–469. doi:10.1111/j.1934-6093.2007.tb00435.x
- Vitečková, M. , & Víteček, A. (2015). Stability and pole dominance of control systems. In The 16th international Carpathian control conference (ICCC) (pp. 580–585). Budapest: IEEE.
- Vyhlídal, T. , & Zítek, P. (2009). Mapping based algorithm for large-scale computation of quasi-polynomial zeros. IEEE Transactions on Automatic Control, 54 , 71–177. doi:10.1109/TAC.2008.2008345
- Wang, X. , Jiang, Y. , & Kong, X. (2016). Laguerre functions approximation for model reduction of second order time-delay systems. Journal of the Franklin Institute, 353 , 3560–3577. doi:10.1016/j.jfranklin.2016.06.024
- Wang, H. , Liu, J. , Yang, F. , & Zhang, Y. (2015). Controller design for delay systems via eigenvalue assignment–on a new result in the distribution of quasi-polynomial roots. International Journal of Control, 88 (12), 2457–2476. doi:10.1080/00207179.2015.1048290
- Wang, Q. G. , Zhang, Z. , Åström, K. J. , & Chek, L. S. (2009). Guaranteed dominant pole placement with PID controllers. Journal of Process Control, 19 , 349–352. doi:10.1016/j.jprocont.2008.04.012
- Zítek, P. , Fišer, J. , & Vyhlídal, T. (2012). Ultimate-frequency based three-pole dominant placement in delayed PID control loop. In Proceedings of 10th IFAC workshop on time delay systems, Boston, June 22–24, in IFAC-PapersOnline (Vol. 10, Part 1, pp. 150–155). Amsterdam: Elsevier.
- Zítek, P. , Fišer, J. , & Vyhlídal, T. (2013). Dimensional analysis approach to dominant pole placement in delayed PID control loops. Journal of Process Control, 23 , 1063–1074. doi:10.1016/j.jprocont.2013.06.001
- Zítek, P. , Fišer, J. , & Vyhlídal, T. (2014). Dominant trio of poles assignment in delayed PID control loop. In T. Vyhlídal , J-F. Lafay & R. Sipahi (Eds.), Delay systems: From theory to numerics and applications (pp. 57–70). New York, NY: Springer.