Abstract:This paper mainly addresses the issue of 360 MN extrusion machine and focuses on the stabilization control of main table attitude. We will first introduce the problem and then model the extrusion machine. As the machine is a multi-input multioutput (MIMO) and strong coupling system, it is challenging to apply existing control theory to design a controller to stabilize the main table attitude. Motivated by recent research in the field of multiagent systems, we design a consensus control protocol for our system … Show more
“…A discretized consensus control protocol for the second-order model is proposed based on the state equation for main table of 360MN extrusion machine (Wang et al, 2013). A consensus predictive control protocol is presented analogously and is proved to have smaller spectral radius comparing to consensus control algorithm by analyzing the eigenvalues.…”
Section: Discussionmentioning
confidence: 99%
“…Proof of the discrete state equation Lemma 4 (Wang et al, 2013). The radius of disk is r ¼1, total gravity of main table without loading is G ¼mg, shared by N agents evenly, rotation inertia of disk relative to α axis and β axis are I α and I β respectively, both are equal to I, angle α and β is very small which can satisfy the equation sin ðαÞ % α, sin ðβÞ % β, approximately (this is easy to satisfy for the disk have large radius in reality), then the state equation of disk is given by Eq.…”
Section: Discussionmentioning
confidence: 99%
“…A consensus control protocol for 360MN extrusion machine (Wang et al, 2013) has solved the issue of keeping extrusion machine's table in balance.…”
Section: Mathematical Model Of Extrusion Machinementioning
confidence: 99%
“…Consensus control mechanism was introduced to 360MN extrusion machine control strategies (Wang et al, 2013) because consensus control is commonly used for cooperated control and this issue has some similarities to the multi-vehicle cooperated control problem. Consensus control mechanism can solve the problem described above.…”
“…A discretized consensus control protocol for the second-order model is proposed based on the state equation for main table of 360MN extrusion machine (Wang et al, 2013). A consensus predictive control protocol is presented analogously and is proved to have smaller spectral radius comparing to consensus control algorithm by analyzing the eigenvalues.…”
Section: Discussionmentioning
confidence: 99%
“…Proof of the discrete state equation Lemma 4 (Wang et al, 2013). The radius of disk is r ¼1, total gravity of main table without loading is G ¼mg, shared by N agents evenly, rotation inertia of disk relative to α axis and β axis are I α and I β respectively, both are equal to I, angle α and β is very small which can satisfy the equation sin ðαÞ % α, sin ðβÞ % β, approximately (this is easy to satisfy for the disk have large radius in reality), then the state equation of disk is given by Eq.…”
Section: Discussionmentioning
confidence: 99%
“…A consensus control protocol for 360MN extrusion machine (Wang et al, 2013) has solved the issue of keeping extrusion machine's table in balance.…”
Section: Mathematical Model Of Extrusion Machinementioning
confidence: 99%
“…Consensus control mechanism was introduced to 360MN extrusion machine control strategies (Wang et al, 2013) because consensus control is commonly used for cooperated control and this issue has some similarities to the multi-vehicle cooperated control problem. Consensus control mechanism can solve the problem described above.…”
“…e hydraulic system of extrusion machine needs to achieve high pressure and high flow to meet the requirements of extrusion pressure and extrusion velocity. Stable extrusion velocity is the key to produce smooth and crack free products [1], and research on constant velocity extrusion is the focus at present [2,3]. e booster system of existing extrusion machine basically uses a booster cylinder to generate high pressure.…”
In the extrusion machine with double booster cylinder hydraulic system, the stability of the extrusion velocity is affected because of the switching process of the two booster cylinders in the hydraulic system. In this paper, the analytical solution of the extrusion velocity fluctuation caused by the double booster cylinder hydraulic system is derived. Firstly, the model of the double booster cylinder hydraulic system was established, and the switching process of the two booster cylinders was studied under the condition of high pressure and high flow. Secondly, the traditional control method cannot obtain stable extrusion velocity under the condition of high pressure and high flow rate, and the new control method was proposed to significantly reduce the fluctuation of extrusion velocity. Thirdly, the fluctuation of extrusion velocity caused by the booster system was derived and the influence of the parameters of the hydraulic components such as the hydraulic cylinder and the hydraulic valve and the working conditions such as the flow rate and the pressure on the fluctuation of extrusion velocity was analyzed. Finally, based on the AMESIM software, the double booster cylinder hydraulic system of the 35 MN extrusion machine was simulated and analyzed. The numerical simulation results were used to verify the analytical solution of extrusion velocity fluctuation. The analytical solution can be applied to the engineering design of the hydraulic system and more in-depth optimization analysis.
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