title: Nonlinear stability research on the hydraulic system of double-side rolling shear.
abstract: This paper researches the stability of the nonlinear system taking the hydraulic system of double-side rolling shear as an example. The hydraulic system of double-side rolling shear uses unsymmetrical electro-hydraulic proportional servo valve to control the cylinder with single piston rod, which can make best use of the space and reduce reversing shock. It is a typical nonlinear structure. The nonlinear state-space equations of the unsymmetrical valve controlling cylinder system are built first, and the second Lyapunov method is used to evaluate its stability. Second, the software AMEsim is applied to simulate the nonlinear system, and the results indicate that the system is stable. At last, the experimental results show that the system unsymmetrical valve controlling the cylinder with single piston rod is stable and conforms to what is deduced by theoretical analysis and simulation. The construction and application of Lyapunov function not only provide the theoretical basis for using of unsymmetrical valve controlling cylinder with single piston rod but also develop a new thought for nonlinear stability evaluation.
authors.affiliation: Heavy Machinery Ministry of Education Engineering Research Centre, Taiyuan University of Science and Technology, Taiyuan, Shanxi, China.
authors.forename: Jun
authors.initials: J
authors.lastname: Wang
authors.affiliation: Heavy Machinery Ministry of Education Engineering Research Centre, Taiyuan University of Science and Technology, Taiyuan, Shanxi, China.
authors.forename: Qingxue
authors.initials: Q
authors.lastname: Huang
authors.affiliation: Heavy Machinery Ministry of Education Engineering Research Centre, Taiyuan University of Science and Technology, Taiyuan, Shanxi, China.
authors.forename: Gaocheng
authors.initials: G
authors.lastname: An
authors.affiliation: Heavy Machinery Ministry of Education Engineering Research Centre, Taiyuan University of Science and Technology, Taiyuan, Shanxi, China.
authors.forename: Qisong
authors.initials: Q
authors.lastname: Qi
authors.affiliation: Heavy Machinery Ministry of Education Engineering Research Centre, Taiyuan University of Science and Technology, Taiyuan, Shanxi, China.
authors.forename: Binyu
authors.initials: B
authors.lastname: Sun