Design of State Feedback Controller for Discrete Systems with Time-delay

DOI

10.2991/isccca.2013.137How to use a DOI?

Keywords

Time delay system, stability, linear matrix inequality, controller

Abstract

The stability analysis and controller design of discrete linear systems with time-varying delay are addressed. Firstly, the uniformly asymptotical stability criterion with adjustable parameter is derived by Lyapunov-Razumikhin approach. Then, the stabilization approaches for linear systems with time delay by state feedback and observer based-on state feedback are also presented. Sufficient conditions for the existence of state feedback gain and the observer gain are derived through the numerical solution of a set of obtained linear matrix inequalities. Compared with methods in the references, the dynamic performance of systems, such as the overshoot and the convergence rate of the response, can be adjusted by changing the adjustable parameter. Lastly, an illustrative example is given to show the effectiveness of the proposed

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shuai-tian HE
AU  - Zhi-chang LI
PY  - 2013/02
DA  - 2013/02
TI  - Design of State Feedback Controller for Discrete Systems with Time-delay
BT  - Proceedings of the 2nd International Symposium on Computer, Communication, Control and Automation (ISCCCA 2013)
PB  - Atlantis Press
SP  - 546
EP  - 549
SN  - 1951-6851
UR  - https://doi.org/10.2991/isccca.2013.137
DO  - 10.2991/isccca.2013.137
ID  - HE2013/02
ER  -