DOI 10.17586/0021-3454-2025-68-9-753-761
UDC 681.5
MODIFIED SMITH PREDICTOR FOR UNSTABLE LINEAR SYSTEMS
ITMO University, Saint Petersburg, 197101, Russian Federation; Full Professor, Dean
K. Y. Kalinin
ITMO University, Saint Petersburg, 197101, Russian Federation; PhD Student
Abstract. A new algorithm for controlling unstable linear systems with input delay is presented. Unlike known analogs, a control law is synthesized that is a modification of the Smith predictor with the simplest implementation that does not require complex integration methods. A fairly effective solution to the problem of stabilizing a closed system is proposed, ensuring the boundedness of all state variables and exponential stability of the equilibrium position.
Acknowledgement: The work was supported by the Russian Science Foundation (project No. 25-29-00896).
References:
1. Tsypkin Ya. Z. Avtomatika i Telemekhanika, 1946, no. 2, 3(7), pp. 107–129. (in Russ.) 2. Smith O.J.M. Chem. Eng. Prog., 1959, no. 53, pp. 217–219. 3. Smith O.J.M. ISA, 1959, vol. 6, рр. 28–33. 4. Manitius A.Z., Olbrot A.W. IEEE Transactions on Automatic Control, 1979, vol. 24, рр. 541–553. 5. Kwon W.H., Pearson A.E. IEEE Transactions on Automatic Control, 1980, vol. 25, рр. 266–269. 6. Arstein Z. IEEE Transactions on Automatic Control, 1982, vol. 27, рр. 869–879. 7. Krstic M., Smyshlyaev A. Systems & Control Letters, 2008, vol. 57, рр. 750–758. 8. Kristic M. Delay compensation for nonlinear, adaptive, and PDE systems, Birkhauser, 2009, 466 p. 9. Nikiforov V.O. and Gerasimov D.N. 62nd IEEE Conference on Decision and Control (CDC), IEEE, 2023, pp. 5708–5713
