On the modified Minkowski functional minimization controller for uncertain systems with input and state constraints

Hoai Nam Nguyen; Per Olof Gutman

doi:10.1016/j.ifacsc.2018.04.001

On the modified Minkowski functional minimization controller for uncertain systems with input and state constraints

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

Abstract

Two new stabilizing control schemes are presented for uncertain linear constrained systems on a controlled invariant set C. The first scheme is an extension of the control law in Blanchini (1994), where the requirement that C is contractive in one step is relaxed. The second scheme aims to improve the performance by using a modified Minkowski functional concept. Proofs of recursive feasibility and robust asymptotic stability are provided. One numerical example with comparison to earlier solutions shows the main benefits of the proposed methods.

Original language	English
Pages (from-to)	17-24
Number of pages	8
Journal	IFAC Journal of Systems and Control
Volume	4
DOIs	https://doi.org/10.1016/j.ifacsc.2018.04.001
Publication status	Published - 30 Jun 2018
Externally published	Yes

Keywords

Model predictive control
Real-time optimization
State and input constraints
Uncertain systems

Access to Document

10.1016/j.ifacsc.2018.04.001

Cite this

@article{ae45f6d1880b49f68b2d8bc273650d30,

title = "On the modified Minkowski functional minimization controller for uncertain systems with input and state constraints",

abstract = "Two new stabilizing control schemes are presented for uncertain linear constrained systems on a controlled invariant set C. The first scheme is an extension of the control law in Blanchini (1994), where the requirement that C is contractive in one step is relaxed. The second scheme aims to improve the performance by using a modified Minkowski functional concept. Proofs of recursive feasibility and robust asymptotic stability are provided. One numerical example with comparison to earlier solutions shows the main benefits of the proposed methods.",

keywords = "Model predictive control, Real-time optimization, State and input constraints, Uncertain systems",

author = "Nguyen, \{Hoai Nam\} and Gutman, \{Per Olof\}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = jun,

day = "30",

doi = "10.1016/j.ifacsc.2018.04.001",

language = "English",

volume = "4",

pages = "17--24",

journal = "IFAC Journal of Systems and Control",

issn = "2468-6018",

}

TY - JOUR

T1 - On the modified Minkowski functional minimization controller for uncertain systems with input and state constraints

AU - Nguyen, Hoai Nam

AU - Gutman, Per Olof

PY - 2018/6/30

Y1 - 2018/6/30

N2 - Two new stabilizing control schemes are presented for uncertain linear constrained systems on a controlled invariant set C. The first scheme is an extension of the control law in Blanchini (1994), where the requirement that C is contractive in one step is relaxed. The second scheme aims to improve the performance by using a modified Minkowski functional concept. Proofs of recursive feasibility and robust asymptotic stability are provided. One numerical example with comparison to earlier solutions shows the main benefits of the proposed methods.

AB - Two new stabilizing control schemes are presented for uncertain linear constrained systems on a controlled invariant set C. The first scheme is an extension of the control law in Blanchini (1994), where the requirement that C is contractive in one step is relaxed. The second scheme aims to improve the performance by using a modified Minkowski functional concept. Proofs of recursive feasibility and robust asymptotic stability are provided. One numerical example with comparison to earlier solutions shows the main benefits of the proposed methods.

KW - Model predictive control

KW - Real-time optimization

KW - State and input constraints

KW - Uncertain systems

U2 - 10.1016/j.ifacsc.2018.04.001

DO - 10.1016/j.ifacsc.2018.04.001

M3 - Article

AN - SCOPUS:85058245701

SN - 2468-6018

VL - 4

SP - 17

EP - 24

JO - IFAC Journal of Systems and Control

JF - IFAC Journal of Systems and Control

ER -

On the modified Minkowski functional minimization controller for uncertain systems with input and state constraints

Abstract

Keywords

Access to Document

Fingerprint

Cite this