Predictive Control

Boucher, P.; Dumur, Didier

doi:10.1002/9780470612521.ch12

Cited by 14 publications

(23 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…A classical GPC version is considered in the external position loop. Details for this implementation might be found in (2). As the GPC law ensures closed loop anticipation, feedforward action is not required any longer, as stated in Figure 8.…”

Section: Implementation Within the Vmtmentioning

confidence: 98%

“…N u . The control law is derived through analytical minimization of the previous cost function and may be structured under the RST equivalent polynomial controller like in Figure 6 (see (2) for more details about this minimization). The main improvements however compared to PI controller in a RST form are first the structure of the T polynomial, being here non-causal, generating the anticipative aspect, then the two degrees of freedom feature, allowing distinctive tuning for the disturbance rejection= tracking capabilities of the controller.…”

Section: Generalized Predictive Control Structurementioning

confidence: 99%

See 1 more Smart Citation

Validation of Predictive Axis Control Structure Within a Virtual Open Architecture Machine Tool

Susanu

Dumur

2006

Machining Science and Technology

Self Cite

View full text Add to dashboard Cite

& This paper first presents the elaboration of a virtual machine tool within an open architecture framework, including CAM (Computer Aided Manufacturing) modules such as trajectory generation and visualization facilities. The proposed advanced controller is then introduced within this simulator. Based on predictive strategies, it appears as an excellent control alternative coupled to a simple design procedure and implementation facilities. Moreover, the resulting controller, structured under the polynomial RST form, considered as a generic formalism for any SISO (Single Input Single Output) numerical controller, fulfills the requirements towards an open architecture framework. Validation tests are achieved within this virtual environment and compared to those obtained on a real machining center under its current control structure.

show abstract

Section: Implementation Within the Vmtmentioning

confidence: 98%

Section: Generalized Predictive Control Structurementioning

confidence: 99%

Validation of Predictive Axis Control Structure Within a Virtual Open Architecture Machine Tool

Susanu

Dumur

2006

Machining Science and Technology

Self Cite

View full text Add to dashboard Cite

show abstract

“…An initial polynomial GPC controller (so-called RST structure) is designed, as described in Ref. [4], providing the specified input/output behaviour. A simple model is used for prediction, including the current and velocity closed-loops in Fig.…”

Section: Predictive Control Designmentioning

confidence: 99%

Complex form machining with axis drive predictive control

2008

View full text Add to dashboard Cite

“…To illustrate the comparison between GPC design [35,36] and inverse optimality in terms of prediction horizon, we consider the following non-minimum phase system in the discrete-time domain:…”

Section: Non-minimum Phase Systemmentioning

confidence: 99%

Constructive Solution of Inverse Parametric Linear/Quadratic Programming Problems

Nguyễn

Olaru

Rodríguez-Ayerbe

et al. 2016

J Optim Theory Appl

View full text Add to dashboard Cite

Parametric convex programming has received a lot of attention, since it has many applications in chemical engineering, control engineering, signal processing, etc. Further, inverse optimality plays an important role in many contexts, e.g., image processing, motion planning. This paper introduces a constructive solution of the inverse optimality problem for the class of continuous piecewise affine functions. The main idea is based on the convex lifting concept. Accordingly, an algorithm to construct convex liftings of a given convexly liftable partition will be put forward. Following this idea, an important result will be presented in this article: any continuous piecewise affine function defined over a polytopic partition is the solution of a parametric linear/quadratic programming problem. Regarding linear optimal control, it will be shown that any continuous piecewise affine control law can be obtained via a linear optimal control problem with the control horizon at most equal to 2 prediction steps.

show abstract

Predictive Control

Cited by 14 publications

References 10 publications

Validation of Predictive Axis Control Structure Within a Virtual Open Architecture Machine Tool

Validation of Predictive Axis Control Structure Within a Virtual Open Architecture Machine Tool

Complex form machining with axis drive predictive control

Constructive Solution of Inverse Parametric Linear/Quadratic Programming Problems

Contact Info

Product

Resources

About