Parametrical Synthesis of Linear Controllers in Aperiodical Systems on Basis of Decomposition Approach
This article deals with the issue of parametric synthesis of a linear controller that provides aperiodical character of transition processes. The proposed solution addresses a decomposition approach towards the parametric synthesis of linear controllers in aperiodical interval control systems. The approach relies on the division of a characteristic polynomial of a system into the dominating polynomial, provided a dominating real pole, and a free polynomial that defines the rest system poles allocation. In order to allocate the free polynomial roots at a maximum possible distance from an imaginary axis, the sufficient conditions providing a quasi-maximum degree of stability have been set. The decomposition approach in combination with these conditions has allowed developing the methodology on parametric synthesis for linear controllers providing the quasi-maximum degree of the polynomial roots domination. The methodology implementation has been carried out in practice and introduced in this paper with a numerical example.
Copyright © 2019 Praise Worthy Prize - All rights reserved.
J. Fiser. P. Skopec, P. Zítek, T. Vyhlídal, and J. Knobloch, Dominant root locus in state estimator design for material flow processes: A case study of hot strip rolling, ISA Transactions, Vol. 68:381-401, May 2017.
J. P. Corriou, Design of Feedback Controllers (Process Control, Springer, Cham, 2018, pp. 143-198).
M. V. Meerov, E. I. Jury, On aperiodicity robustness, International Journal of Control, Vol. 70(Issue 2):193–201, January 1998.
O. S. Vadutov, S.A. Gaivoronskii, Solving the problem of allocation of poles of a system by the D-partition method, Journal of Computer and Systems Sciences International, Vol. 43(Issue 5):681-685, September 2004.
Q.-G. Wang, Z. Zhang, K.J. Astrom, L.S. Chek, Guaranteed dominant pole placement with PID controllers, Journal of Process Control, Vol. 19(Issue 2):349-352, February 2009.
E. Dincel and M. T. Söylemez, Dominant pole region assignment with continuous PI and PID controllers, 10th International Conference on Electrical and Electronics Engineering (ELECO), pp. 836-841, Bursa, November 2017.
E. Dincel, M.T. Söylemez, Digital PI-PD controller design for arbitrary order systems: Dominant pole placement approach, ISA Transactions, Vol. 78:189-201, August 2018.
P. D. Mandić, T. B. Šekara, M. P. Lazarević, and M. Bošković, Dominant pole placement with fractional order PID controllers: D-decomposition approach, ISA Transactions, Vol. 67:76-87, March 2017.
T. B. Šekara, M.R. Rapaić, A revision of root locus method with applications, Journal of Process Control, Vol. 34:26-34, August 2015.
E. Dincel, M.T. Söylemez, Guaranteed dominant pole placement with discrete-PID controllers: A modified nyquist plot approach, IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 19:3122-3127, 2014.
N. Tan, I. Kaya, C. Yeroglu, D.P. Atherton, Computation of stabilizing PI and PID controllers using the stability boundary locus, Energy Conversion and Management, Vol. 47(Issue 18-19):3045-3058, November 2006.
Y. Li, A. Sheng, Q. Qi, Further results on guaranteed dominant pole placement with PID controllers, 30th Chinese Control Conference; pp. 3756-3760, Yantai; China; July 2011.
S. Das, K. Halder, A. Gupta, Performance analysis of robust stable PID controllers using dominant pole placement for SOPTD process models, Knowledge-Based Systems, Vol. 146:12-43, April 2018.
A.K. Srivastava, A. Kumar, Model Order Reduction and Stability Analysis of Interval System, International Journal of Advanced Research in Computer Science, Vol.8(Issue 5):2567-2572, June 2017.
A.K. Choudhary, S. K. Nagar, Revisiting approximation techniques to reduce order of interval system, IFAC-PapersOnLine, Vol. 49(Issue 1):241–246, 2016.
Mekki, I., Bouhamida, M., Saad, M., Robust Control of a Chemical Multivariable System in the Presence of Strong Uncertainties in the Model Parameters, (2018) International Review of Automatic Control (IREACO), 11 (4), pp. 166-173.
S.A. Gayvoronskiy, I.V. Khozhaev, T.A. Ezangina, Method of interval system poles allocation based on a domination principle, International Conference on Mechanical, System and Control Engineering (ICMSC), pp. 245 –249, St. Petersburg; Russian Federation, June 2017.
S.A. Gayvoronskiy, I.V. Khozhaev, T.A. Ezangina, Motion control system for a remotely operated vehicle with interval parameters, International Journal of Mechanical Engineering and Robotics Research, Vol. 6,(Issue 5):378-384, September 2017.
D. Misra, S. Bhattacharjee, B. Goswami, R. Ghosh, Guaranteed performance PID controller for UAV pitch control, IEEE International Conference on Control, Measurement and Instrumentation; pp. 172-176, India; January 2016.
V.M. Glumov, A.M. Puchkov, and A.E. Seleznev, Design and analysis of lateral motion control algorithms for an unmanned aerial vehicle with two control surfaces, Automation and Remote Control, Vol. 78 (Issue 5): 924-935, May 2017.
E.G. Uderman, E.G., The Root Locus Method in Theory of Automatic Systems, (Nauka, 1972).
A.A. Nesenchuk, S.M. Fedorovich Parametric synthesis method of integral systems on the basis of root locus curves of Kharitonov polynomials, Automation and remote control, Vol. 69(Issue 7):1133-1141, July 2008.
A.A. Nesenchuk, Parametric synthesis of qualitative robust control systems using root locus fields, IFAC Proceedings Volumes (IFAC-PapersOnline), Vol. 35(Issue 1):331¬335, 2002.
A.A. Nesenchuk, A method for synthesis of robust interval polynomials using the extended root locus, American Control Conference (ACC), pp.1715-1720, United States, June 2017.
G.A. Bendrikov, K.F. Theodorchik, Root Locus Method for Linear Control Systems (Nauka, 1964).
- There are currently no refbacks.
Please send any question about this web site to firstname.lastname@example.org
Copyright © 2005-2019 Praise Worthy Prize