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.
| Original language | English (US) |
|---|---|
| Title of host publication | 2018 Annual American Control Conference, ACC 2018 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 4398-4402 |
| Number of pages | 5 |
| ISBN (Print) | 9781538654286 |
| DOIs | |
| State | Published - Aug 9 2018 |
| Event | 2018 Annual American Control Conference, ACC 2018 - Milwauke, United States Duration: Jun 27 2018 → Jun 29 2018 |
Publication series
| Name | Proceedings of the American Control Conference |
|---|---|
| Volume | 2018-June |
| ISSN (Print) | 0743-1619 |
Other
| Other | 2018 Annual American Control Conference, ACC 2018 |
|---|---|
| Country | United States |
| City | Milwauke |
| Period | 6/27/18 → 6/29/18 |
Fingerprint
Keywords
- Linear Matrix Inequalities (LMIs)
- Observer-based control
- criterion
- uncertain systems
Cite this
Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes. / Bennani, C.; Bedouhene, F.; Zemouche, A.; Bibi, H.; Chaib-Draa, K.; Aitouche, A.; Rajamani, R.
2018 Annual American Control Conference, ACC 2018. Institute of Electrical and Electronics Engineers Inc., 2018. p. 4398-4402 8431745 (Proceedings of the American Control Conference; Vol. 2018-June).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Robust H∞ Observer-Based Stabilization of Linear Discrete-Time Systems with Parameter Uncertaintes
AU - Bennani, C.
AU - Bedouhene, F.
AU - Zemouche, A.
AU - Bibi, H.
AU - Chaib-Draa, K.
AU - Aitouche, A.
AU - Rajamani, R.
PY - 2018/8/9
Y1 - 2018/8/9
N2 - 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.
AB - 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.
KW - Linear Matrix Inequalities (LMIs)
KW - Observer-based control
KW - criterion
KW - uncertain systems
UR - http://www.scopus.com/inward/record.url?scp=85052578817&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85052578817&partnerID=8YFLogxK
U2 - 10.23919/ACC.2018.8431745
DO - 10.23919/ACC.2018.8431745
M3 - Conference contribution
AN - SCOPUS:85052578817
SN - 9781538654286
T3 - Proceedings of the American Control Conference
SP - 4398
EP - 4402
BT - 2018 Annual American Control Conference, ACC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
ER -