Stability problems in the control of multipass processes

Edwards, J.B.

doi:10.1049/piee.1974.0299

Cited by 79 publications

(69 citation statements)

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“…ILC is closely related to repetitive control (Cuiyan, Dongchun, and Xianyi, 2004) and to multi-pass control (Edwards, 1974;Owens, 1977). This example shows how the intermittent parameter estimation method of Section 11.3 can be used in the context of iterative learning.…”

Section: Intermittent Control In Man and Machinementioning

confidence: 99%

Event-Based Data Acquisition and Reconstruction—Mathematical Background

Thao¹

2018

Event-Based Control and Signal Processing

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Intermittent control has a long history in the physiological literature and there is strong experimental evidence that some human control systems are intermittent. Intermittent control has also appeared in various forms in the engineering literature. This article discusses a particular mathematical model of Event-driven Intermittent Control which brings together engineering and physiological insights and builds on and extends previous work in this area. Illustrative examples of the properties of Intermittent Control in a physiological context are given together with suggestions for future research directions in both physiology and engineering. i arXiv:1407.3543v1 [q-bio.QM]

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Section: Intermittent Control In Man and Machinementioning

confidence: 99%

Event-Based Data Acquisition and Reconstruction—Mathematical Background

Thao¹

2018

Event-Based Control and Signal Processing

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“…It is essential to note at this stage that the 1D equivalent model does not (as with the approach of [5]) destroy the underlying finite pass length repeatable nature of the underlying dynamics and should be regarded as a 'reversible transformation to aid analysis'. Note also that the stability results given in this and the next sub-section also hold in the presence of the disturbance vector w(p).…”

Section: Control For Stability and Performance In The Absence Of Distmentioning

confidence: 99%

“…Physical examples of repetitive processes include long-wall coal cutting and metal rolling operations (see, for example, [5,3]). Also in recent years applications have arisen where adopting a repetitive process setting for analysis has distinct advantages over alternatives.…”

Section: Introductionmentioning

confidence: 99%

“…The first attempt to control these processes [5] arose in the long-wall coal cutting operation and used the standard Nyquist criteria for continuous time systems (with independent variable t). To apply this, an auxiliary independent variable termed the total distance traversed was first used to convert the process dynamics into to those of an equivalent infinite length single pass process.…”

Section: Introductionmentioning

confidence: 99%

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Control and Disturbance Rejection for Discrete Linear Repetitive Processes

Sulikowski

Gałkowski

Rogers

et al. 2005

Multidim Syst Sign Process

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Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here we give new results on the relatively open problem of the design of physically based feedforward/feedback control laws to achieve desired performance and disturbance decoupling in the sense defined in the body of the paper.

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“…Physical examples of these processes include long-wall coal cutting and metal rolling operations (Edwards 1974). Also in recent years applications have arisen where adopting a repetitive process setting for analysis has distinct advantages over alternatives.…”

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confidence: 99%

On control laws for discrete linear repetitive processes with dynamic boundary conditions

Hladowski

Rogers

Gałkowski

et al. 2007

Multidim Syst Sign Process

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Repetitive processes are characterized by a series of sweeps, termed passes, through a set of dynamics defined over a finite duration known as the pass length. On each pass an output, termed the pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This can lead to oscillations in the sequence of pass profiles produced which increase in amplitude in the pass-to-pass direction and cannot be controlled by application of standard control laws. Here we give new results on the design of physically based control laws for so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control.

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Stability problems in the control of multipass processes

Cited by 79 publications

References 1 publication

Event-Based Data Acquisition and Reconstruction—Mathematical Background

Event-Based Data Acquisition and Reconstruction—Mathematical Background

Control and Disturbance Rejection for Discrete Linear Repetitive Processes

On control laws for discrete linear repetitive processes with dynamic boundary conditions

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