DOI 10.17586/0021-3454-2018-61-3-202-209
UDC 62.50: 681.50.1
ANALYSIS OF SENSITIVITY OF CONTINUOUS SYSTEMS WITH CONSECUTIVE COMPENSATOR INCLUDED ACCORDING TO THE SMITH SCHEME TO ORDINARY PARAMETERS VARIATIONS
ITMO University, Saint Petersburg, 197101, Russian Federation; postgraduete
M. M. Sinetova
ITMO University, Saint Petersburg, 197101, Russian Federation; postgraduate
A. V. Ushakov
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor
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Abstract. The Smith scheme of including a consecutive compensator in the direct branch of a designed system is considered. The scheme is used as an effective way of solving the problem of removing the link of pure delay beyond the closed loop of the system to ensure its stability regardless to the delay magnitude. The system property is based on additive signal compensation, which is not a robust procedure. A correct implementation of the procedure requires an accurate knowledge of the delay value and ordinary parameters of the polynomial part of the plant transfer function. Sensitivity of processes in the projected system to the deviation of ordinary parameters from their nominal values is analyzed.
Keywords: plant, pure delay link, consecutive compensator, Smith scheme, sensitivity of processes to parameters variation
References:
References:
- Smith O.J.M. Close Control of Loops with Dead Time, Chemical Engineering Progress, 1957, no. 53, pp. 217–235.
- Smith O.J.M. ISA J., 1959, no. 2(6), pp. 28–32.
- Aström K.J., Hang C.C., Lim B.C. IEEE Transactions on Automatic Control, 1994, no. 2(39), pp. 343–345.
- Fliess M., Marquez R., Mounier H. Sixth European Control Conference (ECC’01), Porto, Portugal, 2001.
- Majhi S., Atherton D. 37th Conference on decision and control (CDC’98), IEEE, Tampa, FL, 1998, pp. 1341–1345.
- Olbrot A.W.First IFAC workshop on linear time delay systems, Grenoble, France, Plenary lecture, 1998, pp. 251–260.
- Palmor Z.J. The Control Handbook, W.S. Levine (ed.), CRSC Press, Boca Raton, FL, USA, 1996, pp. 224–237.
- Mataušek M.R., Ribić A.I. Journal of Process Control, 2012, no. 1(22), pp. 338–343.
- Padhan D.G., Majhi S. ISA Transactions, 2012, no. 1(51), pp. 95–104.
- Vunder N.A., Ushakov A.V. Optoelectronics, Instrumentation and Data Processing, 2006, no. 3(52), pp. 71–78.
- Besekerskiy V.A., Popov E.P. Teoriya sistem avtomaticheskogo regulirovaniya (The Theory of Automatic Control Systems), Moscow, 1972, 768 p. (in Russ.)
- Brasch F.M., Jr. and Pearson J.B. IEEE Trans. Automat. Contr., 1970, no. 1(15), pp. 34–43.
- Mason S.J. Proceedings of the IRE, July 1956, pp. 920–926.
- Lotfi. А. Zadeh, Charles А. Desoer Linear System Theory: the State Space Approach, NY, Dover Publications, 2008, 656 p.
- Perkins W.R., Cruz J.B., and Gonzales R.L. IEEE-Trans. Automatic Control, 1968, no. 2(AC-13), pp. 159–167.
