Barrier function based model predictive control

Wills, Adrian; Heath, William P.

doi:10.1016/j.automatica.2004.03.002

Cited by 133 publications

(93 citation statements)

References 19 publications

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“…The authors have considered the active-set method in related work [10,25,26], but in this paper we employ an interior-point technique (see e.g. [31]) to solve the quadratic program in (3). The main reason for choosing an interior-point method in this paper is that each step involves the solution of a linear system of equations with constant dimension.…”

Section: Problem Formulationmentioning

confidence: 99%

Implementation of linear model predictive control using a field-programmable gate array

Mills

Wills

Weller

et al. 2012

IET Control Theory &Amp; Applications

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The paper investigates the design of a field programmable gate array based custom computer architecture solution for implementing model predictive control. The solution employs a primal logarithmic-barrier interior-point algorithm in order to handle actuator constraints. The solution also incorporates practical aspects of a control algorithm including state observation and data sampling. The resulting circuit is profiled by application to a disturbance rejection control problem of a 14'th order lightly damped flexible beam structure with actuator constraints. This is achieved at 2 kHz sampling frequency and with 16-sample prediction horizon.

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Section: Problem Formulationmentioning

confidence: 99%

Implementation of linear model predictive control using a field-programmable gate array

Mills

Wills

Weller

et al. 2012

IET Control Theory &Amp; Applications

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show abstract

“…In [38,36] the authors propose adding a barrier to the steady state calculation in MPC. The barrier has a fixed weighting and prevents actuator constraint violation.…”

Section: Choice Of Non-linear Functionmentioning

confidence: 99%

Design of Cross-Directional Controllers with Optimal Steady State Performance*

Heath¹,

Wills

2004

European Journal of Control

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“…It has the effect of ensuring the inputs lie on the interior of the constraint set, while a limit is put on the associated performance degradation by the duality gap. Such optimization problems may be solved efficiently via modified interior point algorithms [36].…”

Section: Choice Of Non-linear Functionmentioning

confidence: 99%

Design of cross-directional controllers with optimal steady state performance

Heath

Wills

2003

2003 European Control Conference (ECC)

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Actuator constraint handling is necessary for many cross-directional controllers. We discuss how optimal steady state performance can be guaranteed by modifying an internal model control structure with a non-linear element. For the simple dynamics associated with most web processes this also gives good closed-loop dynamic behaviour. Thus unconstrained control design techniques may be applied directly to the constrained control problem.

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Barrier function based model predictive control

Cited by 133 publications

References 19 publications

Implementation of linear model predictive control using a field-programmable gate array

Implementation of linear model predictive control using a field-programmable gate array

Design of Cross-Directional Controllers with Optimal Steady State Performance*

Design of cross-directional controllers with optimal steady state performance

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