STABILIZATION OF DISCRETE-TIME SYSTEMS WITH RANDOM DELAYS AND PACKET DROPS: A PREDICTOR-LIKE CONTROLLER
Document Type
Article
Publication Date
1-1-2023
Abstract
In this paper, we study stabilization of discrete-time systems in which control inputs are transmitted over a random delay and packet drop channel. A predictor-like linear feedback controller is proposed by a reduction technique in which the reduced system has the same dimension as that of the original system. A necessary and sufficient condition to stabilize the original system in the mean-square sense is obtained based on an algebraic Riccati equation. Some necessary and sufficient stabilizability conditions based on the Lyapunov criterion are also presented. Interestingly, it is shown that the stabilization problem considered in this paper is equivalent to the stabilization problem of a particular delay-free system with control-dependent correlated noises. Simulation examples are provided to illustrate the effectiveness and advantages of the proposed stabilizing controller.
Publication Source (Journal or Book title)
SIAM Journal on Control and Optimization
First Page
1737
Last Page
1759
Recommended Citation
Xu, J., Zhang, H., Gu, G., & Tang, Y. (2023). STABILIZATION OF DISCRETE-TIME SYSTEMS WITH RANDOM DELAYS AND PACKET DROPS: A PREDICTOR-LIKE CONTROLLER. SIAM Journal on Control and Optimization, 61 (3), 1737-1759. https://doi.org/10.1137/22M1496062