A stabilizing low-order output feedback receding horizon control for linear discrete time-invariant systems

Author

Lee, Kwan Ho ; Lee, Joon Hwa ; Kwon, Wook Hyun

Author_Institution

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

Volume

3

fYear

2002

fDate

2002

Firstpage

2412

Abstract

In this paper, a stabilizing low-order output feedback receding horizon control (RHC) is proposed for linear discrete time-invariant systems. An inequality condition on the terminal weighting matrix is presented under which the closed-loop stability of the low-order output feedback receding horizon controls is guaranteed. Then, it is shown that the stabilizing low-order output feedback receding horizon control problem can be represented as a nonlinear minimization problem based on linear matrix inequalities. An algorithm for solving the nonlinear minimization problem is proposed. Finally, the efficiency of the proposed algorithm is illustrated through numerical examples.

Keywords

closed loop systems; discrete time systems; feedback; linear systems; matrix algebra; minimisation; predictive control; stability; closed-loop systems; discrete time systems; inequality condition; linear matrix inequality; linear time-invariant systems; model predictive control; nonlinear minimization; output feedback; receding horizon control; stability; terminal weighting matrix; Computer science; Control systems; Costs; Linear feedback control systems; Linear matrix inequalities; Minimization methods; Output feedback; Predictive control; Predictive models; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1024004

Filename

1024004