Simple Interpolating Control⁎

Pedro Mercader; Daniel Rubin; Hoai Nam Nguyen; Alberto Bemporad; Per Olof Gutman

doi:10.1016/j.ifacol.2018.11.079

Simple Interpolating Control^⁎

Pedro Mercader
, Daniel Rubin
, Hoai Nam Nguyen
, Alberto Bemporad
, Per Olof Gutman

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

5 Scopus citations

Abstract

We present a new simple approach to extend the admissible region of a saturated control law for discrete-time linear systems under state and input constraints. The approach is based on the interpolation of a given, performance driven, control law and a low-gain controller. The latter is designed such that its admissible set has maximum volume. The interpolation does not require on-line numerical optimization, and an analytical formula for the controller is given. Several numerical examples are presented to illustrate the control technique.

Original language	English
Pages (from-to)	42-47
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	51
Issue number	25
DOIs	https://doi.org/10.1016/j.ifacol.2018.11.079
State	Published - 1 Jan 2018
Externally published	Yes

Keywords

Constrained control
interpolation algorithms
predictive control
robust stability
state feedback
uncertain linear systems

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.1016/j.ifacol.2018.11.079

Cite this

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title = "Simple Interpolating Control⁎ ",

abstract = "We present a new simple approach to extend the admissible region of a saturated control law for discrete-time linear systems under state and input constraints. The approach is based on the interpolation of a given, performance driven, control law and a low-gain controller. The latter is designed such that its admissible set has maximum volume. The interpolation does not require on-line numerical optimization, and an analytical formula for the controller is given. Several numerical examples are presented to illustrate the control technique.",

keywords = "Constrained control, interpolation algorithms, predictive control, robust stability, state feedback, uncertain linear systems",

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AU - Mercader, Pedro

AU - Rubin, Daniel

AU - Nguyen, Hoai Nam

AU - Bemporad, Alberto

AU - Gutman, Per Olof

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Y1 - 2018/1/1

N2 - We present a new simple approach to extend the admissible region of a saturated control law for discrete-time linear systems under state and input constraints. The approach is based on the interpolation of a given, performance driven, control law and a low-gain controller. The latter is designed such that its admissible set has maximum volume. The interpolation does not require on-line numerical optimization, and an analytical formula for the controller is given. Several numerical examples are presented to illustrate the control technique.

AB - We present a new simple approach to extend the admissible region of a saturated control law for discrete-time linear systems under state and input constraints. The approach is based on the interpolation of a given, performance driven, control law and a low-gain controller. The latter is designed such that its admissible set has maximum volume. The interpolation does not require on-line numerical optimization, and an analytical formula for the controller is given. Several numerical examples are presented to illustrate the control technique.

KW - Constrained control

KW - interpolation algorithms

KW - predictive control

KW - robust stability

KW - state feedback

KW - uncertain linear systems

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