Modified Smith predictor for unstable linear systems

TL;DR

This paper introduces a simplified modified Smith predictor control algorithm for unstable linear systems with input delay, effectively stabilizing the system and ensuring boundedness and exponential stability.

Contribution

It proposes a new, easier-to-implement modification of the Smith predictor that does not require complex integration methods for stabilizing unstable systems.

Findings

Effective stabilization of unstable systems achieved

Ensures boundedness of all state variables

Guarantees exponential stability of the equilibrium point

Abstract

The paper presents a new control algorithm for unstable linear systems with input delay. In comparison with known analogues, the control law has been designed, which is a modification of the Smith predictor, and is the simplest one to implement without requiring complex integration methods. At the same time, the problem of stabilization of a closed system is effectively solved, ensuring the boundedness of all state variables and the exponential stability of the equilibrium point.