A new approach to finite minimax receding horizon control problem with constrained conditions

Tohru Kawabe; Kentaro Hirata

doi:10.1299/kikaic.70.1992

A new approach to finite minimax receding horizon control problem with constrained conditions

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, a new approach to robust finite RHC (receding horizon control) of constrained systems with structured uncertainties and bounded disturbances is proposed. The control problem is formulated as a minimax optimization problem of quadratic cost function with bounded constraints conditions. The proposed approach using the S-procedure can solve this problem efficiently. Numerical examples are given to show the advantage of this approach, the reduction of conservativeness, with respect to other preexisting methods.

Original language	English
Pages (from-to)	1992-1998
Number of pages	7
Journal	Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Volume	70
Issue number	7
DOIs	https://doi.org/10.1299/kikaic.70.1992
Publication status	Published - Jul 2004
Externally published	Yes

Keywords

Constrained System
Finite RHC (Receding Horizon Control)
Minimax Optimization
S-Procedure

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Industrial and Manufacturing Engineering

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10.1299/kikaic.70.1992

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AB - In this paper, a new approach to robust finite RHC (receding horizon control) of constrained systems with structured uncertainties and bounded disturbances is proposed. The control problem is formulated as a minimax optimization problem of quadratic cost function with bounded constraints conditions. The proposed approach using the S-procedure can solve this problem efficiently. Numerical examples are given to show the advantage of this approach, the reduction of conservativeness, with respect to other preexisting methods.

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KW - Finite RHC (Receding Horizon Control)

KW - Minimax Optimization

KW - S-Procedure

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A new approach to finite minimax receding horizon control problem with constrained conditions

Abstract

Keywords

ASJC Scopus subject areas

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