Explicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints

Hoai Nam Nguyen; Per Olof Gutman; Sorin Olaru; Morten Hovd

doi:10.1002/rnc.3466

Explicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints

Hoai Nam Nguyen
, Per Olof Gutman
, Sorin Olaru
, Morten Hovd

IFP Energies nouvelles
Technion - Israel Institute of Technology
Automatic Control Dept.
Norwegian University of Science and Technology

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

Abstract

A technique is presented to compute an explicit state feedback solution to the regulation problem for uncertain and/or time-varying linear discrete-time systems with state and control constraints. A piecewise affine control law is provided that not only guarantees recursive feasibility and robust asymptotic stability but is also optimal for a region of the state space containing the origin.

Original language	English
Pages (from-to)	2652-2667
Number of pages	16
Journal	International Journal of Robust and Nonlinear Control
Volume	26
Issue number	12
DOIs	https://doi.org/10.1002/rnc.3466
Publication status	Published - 1 Aug 2016
Externally published	Yes

Keywords

constrained control
explicit solution
invariant set
uncertain systems
vertex control

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10.1002/rnc.3466

Cite this

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title = "Explicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints",

abstract = "A technique is presented to compute an explicit state feedback solution to the regulation problem for uncertain and/or time-varying linear discrete-time systems with state and control constraints. A piecewise affine control law is provided that not only guarantees recursive feasibility and robust asymptotic stability but is also optimal for a region of the state space containing the origin.",

keywords = "constrained control, explicit solution, invariant set, uncertain systems, vertex control",

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AU - Nguyen, Hoai Nam

AU - Gutman, Per Olof

AU - Olaru, Sorin

AU - Hovd, Morten

PY - 2016/8/1

Y1 - 2016/8/1

N2 - A technique is presented to compute an explicit state feedback solution to the regulation problem for uncertain and/or time-varying linear discrete-time systems with state and control constraints. A piecewise affine control law is provided that not only guarantees recursive feasibility and robust asymptotic stability but is also optimal for a region of the state space containing the origin.

AB - A technique is presented to compute an explicit state feedback solution to the regulation problem for uncertain and/or time-varying linear discrete-time systems with state and control constraints. A piecewise affine control law is provided that not only guarantees recursive feasibility and robust asymptotic stability but is also optimal for a region of the state space containing the origin.

KW - constrained control

KW - explicit solution

KW - invariant set

KW - uncertain systems

KW - vertex control

U2 - 10.1002/rnc.3466

DO - 10.1002/rnc.3466

M3 - Article

AN - SCOPUS:84944404087

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VL - 26

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EP - 2667

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 12

ER -

Explicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints

Abstract

Keywords

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