State-dependent input delay-compensated Bang-Bang control: Application to 3D printing based on screw-extruder
Abstract
In this paper a delay-compensated Bang-Bang control law for the stabilization of the nozzle output flow rate of an isothermal screw-extruder-based 3D printing process is designed. The presented application has a great potential to move beyond the common 3D printing processes such as Fused Deposition Modeling (FDM) and Syringe Based Extrusion (SBE), improving the build speed and the print precision. A geometrical decomposition of the screw extruder in a partially and a fully filled regions (PFZ and FFZ) allows to describe the material convection in the extruder chamber by a 1D hyperbolic Partial Differential Equation (PDE) coupled with an Ordinary Differential Equation (ODE). After solving the hypercolic PDE by the Method of Characteristics (MC), the coupled PDE-ODE system is transformed into a nonlinear state-dependent input delay system. The Global Exponential Stability (GES) of the nonlinear free-delay plant is established with a piecewise exponential feedback control law. Combining the “Bang-Bang”-like controller with a nonlinear predictor feedback control law, the Global Asymptotic Stability (GAS) of the plant with respect to any setpoint in the physical domain is ensured.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In this work, flux control leads to a controlled boundary that is nonlinearly influenced by the history of the nonlinear ODE to be stabilized.
“In our case, flux control leads to a controlled boundary that is nonlinearly influenced by the history of the nonlinear ODE to be stabilized, marking a key distinction from the problem settings in [17,37].”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [17]
System (1)-(3) is no longer equivalent to the classical time-delay system in [5,6,14-17].
“Equation (31) indicates that system (1)-(3) is no longer equivalent to the following classical time-delay system in [5,6,14-17]”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [17]
The controller incorporates a compensator that effectively cancels the influence of inhomogeneous terms in the PDE actuator state, without imposing restrictions on the severity of the nonlinearity or the feasibility condition, while guaranteeing the latter through an assumption on the positivity of the transport speed to avoid an ill-posed problem.
“Our controller incorporates a compensator that effectively cancels the influence of inhomogeneous terms in the PDE actuator state, without imposing any restrictions on the severity of the nonlinearity or the feasibility condition [5,6], while guaranteeing the latter through an assumption on the positivity of the transport speed to avoid an illposed problem (see [14,17]).”
From Multi-layer predictor feedback design for nonlinear integro-differential equations with state-dependent input delays (2026) · cites this paper as [17]
No citation lists for this paper
No citation lists for this paper yet — checked again daily.
References 19 · Cited by 19
- Authors
- Diagne, M., & Krstic, M.
- Affiliations
- University of California San Diego (US)
- ORCID
- Diagne, Mamadou
- Venue
- 2015 American Control Conference (ACC)
- Publisher
- IEEE
- Published
- 2015-07
- Pages
- 5653-5658
- ISSN
- 0743-1619 (ISSN-L)
- OpenAlex
- W1597557708
- Cited by
- 19
- References
- 19
- Citations by year
- 2023: 1 · 2022: 1 · 2021: 3 · 2020: 1 · 2019: 3 · 2018: 1 · 2017: 5 · 2016: 2 · 2015: 2
- FWCI
- 4.67
- Type
- conference paper
- Language
- en
- Open access
- closed
- Locations
- Proceedings of the ... American Control Conference/Proceedings of the American Control Conference (publishedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Stability and Controllability of Differential Equations
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Keywords
- bang-bang control, input delay compensation, 3D printing, screw extruder, hyperbolic equations, method of characteristics, global exponential stability, global asymptotic stability, nonlinear control, fused deposition modeling
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
