@inproceedings{8d0a32e3cf8540a0b72a69f105e894a5,
title = "Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes",
abstract = "This paper addresses the problem of observer-based stabilization of discrete-time linear systems in presence of parameter uncertainties and 2-bounded disturbances. We propose a new variant of the classical two-steps LMI approach. In the first step, we use a slack variable technique to solve the optimization problem resulting from the stabilization problem by a static state feedback. In the second step, a part of the slack variable obtained is incorporated in the H∞ observer-based stabilization problem, to calculate simultaneously the Lyapunov matrix and the observer-based controller gains. Numerical evaluation by Monte Carlo is presented to show the superiority of the proposed Modified Two-Steps Method (MTSM) from LMI feasibility point of view.",
keywords = "Linear Matrix Inequalities (LMIs), Observer-based control, criterion, uncertain systems",
author = "C. Bennani and F. Bedouhene and A. Zemouche and H. Bibi and K. Chaib-Draa and A. Aitouche and R. Rajamani",
year = "2018",
month = aug,
day = "9",
doi = "10.23919/ACC.2018.8431745",
language = "English (US)",
isbn = "9781538654286",
series = "Proceedings of the American Control Conference",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "4398--4402",
booktitle = "2018 Annual American Control Conference, ACC 2018",
note = "2018 Annual American Control Conference, ACC 2018 ; Conference date: 27-06-2018 Through 29-06-2018",
}