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Modified Smith Predictor for Unstable Linear Systems

https://doi.org/10.17586/0021-3454-2025-68-9-753-761

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.

About the Authors

A. A. Pyrkin
ITMO University
Russian Federation

Anton A. Pyrkin — Dr. Sci., Professor; Faculty of Control Systems and Robotics; Professor

St. Petersburg



K. Yu. Kalinin
ITMO University
Russian Federation

Konstantin Yu. Kalinin — Post-Graduate Student;  Faculty of Control Systems and Robotics

St. Petersburg



References

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Review

For citations:


Pyrkin A.A., Kalinin K.Yu. Modified Smith Predictor for Unstable Linear Systems. Journal of Instrument Engineering. 2025;68(9):753-761. (In Russ.) https://doi.org/10.17586/0021-3454-2025-68-9-753-761

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ISSN 0021-3454 (Print)
ISSN 2500-0381 (Online)