Robustness Bound for Receding Horizon Finite Memory Control of Continuous-time State-space Systems

Author

Ahn, Choon Ki ; Han, Soo Hee ; Kwon, Wook Hyun

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

6660

Lastpage

6665

Abstract

This paper presents a robustness bound (RB) of receding horizon finite memory controls (RHFMC) in Kwon, W.H. and Han, S. (2004) for continuous-time state-space systems with norm-bounded uncertainties. The proposed RB is obtained easily by solving a convex problem in terms of a linear matrix inequality (LMI). We show through numerical examples that the RHFMC can guarantee the robust stabilization for a larger class of uncertain systems than LQG controls when some poles of closed-loop systems are close to the imaginary axis in the complex plane

Keywords

closed loop systems; continuous time systems; linear matrix inequalities; linear quadratic Gaussian control; poles and zeros; robust control; state-space methods; uncertain systems; LQG controls; closed-loop systems; continuous-time state-space systems; linear matrix inequality; norm-bounded uncertainty; receding horizon finite memory control; robust stabilization; robustness bound; uncertain systems; Control systems; Linear feedback control systems; Linear matrix inequalities; Output feedback; Regulators; Robust control; Robust stability; State estimation; Stochastic systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377267

Filename

4178062