Abstract
This article presents a robustness bound (RB) of receding horizon finite memory control (RHFMC) (Kwon, W.H., and Han, S. (2004), Receding Horizon Finite Memory Controls of Output Feedback Controls for State Space Systems, IEEE Transactions on Automatic Control, 49, 1905-1915) for continuous-time state-space systems with norm-bounded uncertainties. The proposed RB is easily obtained by solving a convex problem in terms of a linear matrix inequality. We show through a numerical example that the RHFMC can guarantee the robust stabilisation for a larger class of uncertain systems than linear quadratic Gaussian controls when some poles of closed-loop systems are close to an imaginary axis in the complex plane.
| Original language | English |
|---|---|
| Pages (from-to) | 942-949 |
| Number of pages | 8 |
| Journal | International Journal of Control |
| Volume | 85 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2012 Jul 1 |
| Externally published | Yes |
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Keywords
- linear matrix inequality
- receding horizon finite memory control
- robust stabilisation
- robustness bound
- uncertain systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
Cite this
Robustness bound for receding horizon finite memory control : Lyapunov-Krasovskii approach. / Ahn, Choon Ki.
In: International Journal of Control, Vol. 85, No. 7, 01.07.2012, p. 942-949.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Robustness bound for receding horizon finite memory control
T2 - Lyapunov-Krasovskii approach
AU - Ahn, Choon Ki
PY - 2012/7/1
Y1 - 2012/7/1
N2 - This article presents a robustness bound (RB) of receding horizon finite memory control (RHFMC) (Kwon, W.H., and Han, S. (2004), Receding Horizon Finite Memory Controls of Output Feedback Controls for State Space Systems, IEEE Transactions on Automatic Control, 49, 1905-1915) for continuous-time state-space systems with norm-bounded uncertainties. The proposed RB is easily obtained by solving a convex problem in terms of a linear matrix inequality. We show through a numerical example that the RHFMC can guarantee the robust stabilisation for a larger class of uncertain systems than linear quadratic Gaussian controls when some poles of closed-loop systems are close to an imaginary axis in the complex plane.
AB - This article presents a robustness bound (RB) of receding horizon finite memory control (RHFMC) (Kwon, W.H., and Han, S. (2004), Receding Horizon Finite Memory Controls of Output Feedback Controls for State Space Systems, IEEE Transactions on Automatic Control, 49, 1905-1915) for continuous-time state-space systems with norm-bounded uncertainties. The proposed RB is easily obtained by solving a convex problem in terms of a linear matrix inequality. We show through a numerical example that the RHFMC can guarantee the robust stabilisation for a larger class of uncertain systems than linear quadratic Gaussian controls when some poles of closed-loop systems are close to an imaginary axis in the complex plane.
KW - linear matrix inequality
KW - receding horizon finite memory control
KW - robust stabilisation
KW - robustness bound
KW - uncertain systems
UR - http://www.scopus.com/inward/record.url?scp=84861555048&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84861555048&partnerID=8YFLogxK
U2 - 10.1080/00207179.2012.669849
DO - 10.1080/00207179.2012.669849
M3 - Article
AN - SCOPUS:84861555048
VL - 85
SP - 942
EP - 949
JO - International Journal of Control
JF - International Journal of Control
SN - 0020-7179
IS - 7
ER -