@inproceedings{0cb9390a52e2423e95616583a14b3196,
title = "A parameter-dependent Lyapunov function based approach to H ∞-control of LPV discrete-time systems with delays",
abstract = "In this paper we study the problem of H∞ control of linear parameter-varying (LPV) discrete-time systems with delays. In an LPV system, the state-space matrices are a function of time-varying parameters which are assumed to be real-time measurable. We utilize a parameter-dependent Lyapunov function to establish a delay-dependent H∞ performance condition for the LPV system with unknown but bounded delays. On the basis of the H∞ performance condition established, we develop a linear matrix inequality (LMI) based H∞ control strategy. We show that solving the related LMI optimization problem paves the way for designing a H∞ controller for the LPV discrete-time system with delays. We also use a numerical example to demonstrate the application of the presented H∞ controller design method.",
author = "Shaosheng Zhou and Zheng, \{Wei Xing\}",
year = "2008",
doi = "10.1109/CDC.2008.4738738",
language = "English",
isbn = "9781424431243",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4669--4674",
booktitle = "Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008",
note = "47th IEEE Conference on Decision and Control, CDC 2008 ; Conference date: 09-12-2008 Through 11-12-2008",
}