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1、Control Engineering Practice 14 (2006) 137–147An experimental study on the optimization of controller gains for an electro-hydraulic servo system using evolution strategiesMin Young Kim?, Chung-Oh LeeDepartment of Mechan

2、ical Engineering, Korea Advanced Institute of Science and Technology, 373-1, Guseong-dong, Yuseong-gu, Daejeon, 305701, KoreaReceived 11 October 2003; accepted 20 January 2005 Available online 12 March 2005AbstractThis p

3、aper deals with an experimental optimization problem of the controller gains for an electro-hydraulic position control system through evolution strategies (ESs)-based method. The optimal controller gains for the control

4、system are obtained by maximizing fitness function designed specially to evaluate the system performance. In this paper, for an electro-hydraulic position control system which would represent a hydraulic mill stand for t

5、he roll-gap control in plate hot-rollings, the time delay controller (TDC) is designed, and three control parameters of this controller are directly optimized through a series of experiments using this method. It is show

6、n that the near-optimal value of the controller gains is obtained in about 5th generation, which corresponds to approximately 150 experiments. The optimal controller gains are experimentally confirmed by inspecting the f

7、itness function topologies that represent system performance in the gain spaces. It is found that there are some local optimums on a fitness function topology so that the optimization of the three control parameters of a

8、 TDC by manual tuning could be a task of great difficulty. The optimized results via the ES coincide with the maximum peak point in topologies. It is also shown that the proposed method is an efficient scheme giving econ

9、omy of time and labor in optimizing the controller gains of fluid power systems experimentally. r 2005 Elsevier Ltd. All rights reserved.Keywords: Controller gain optimization; Evolution strategies; Time delay control; A

10、utomatic controller gain search; Electro-hydraulic servo system1. IntroductionRecently, the research on the optimization and adaptation of controller gains or parameters for improving the system performance in hydraulic

11、and pneumatic servo systems has been a field of increasing interest (Fleming Klein, 1992; Jeon, Lee, Hyun Choi, Lee, Watton, 1989): the pressure-flow characteristics of valve, the saturation of valve and cylinder, th

12、e leakage flow characteristics of valve and cylinder with variation of supply pressure, the friction characteristic in cylinder, the variation of viscosity and compressibility of working fluid with the temperature, the f

13、low characteristic due to the shape of pipeline, and most importantly, the variation of the system gains with the supply pressure and the load pressure. Therefore, when these fluid power systems are controlled, the contr

14、oller gains are adjusted on the foundation of expert’s intuitive knowledge about the system and theARTICLE IN PRESSwww.elsevier.com/locate/conengprac0967-0661/$ - see front matter r 2005 Elsevier Ltd. All rights reserved

15、. doi:10.1016/j.conengprac.2005.01.010?Corresponding author. Tel.: +82 42 869 3253; fax: +82 42 869 3210. E-mail address: mykim@lca.kaist.ac.kr (M.Y. Kim).structure spring through linear-variable differential transformer

16、 (LVDT), and the deformation of material spring through Linear scale. The roll-gap control cylinder is a cylinder of ram type as in real hot rolling process, and the disturbance cylinder is just used to apply a disturban

17、ce to the system during roll-gap control. A control current signal (i1) of the closed-loop is used to perform the position control of roll-gap control cylinder, which is inputted to a servo valve connected to ram cylinde

18、r. The other current signal (i2) of the open-loop is used to generate a disturbance, which is inputted to a servo valve connected to disturbance cylinder. In this article, responses of thesystem with the fixed disturbanc

19、e cylinder are consid- ered. Table 1 shows some of the technical specifications of the experimental setup composed of power unit, roll- gap control cylinder, structure spring, material spring, linear scale, servo valve,

20、and interface card.2.2. A time delay controller(TDC) for the position control systemA selected controller for the position control of this system is the TDC (Youcef-Toumi Hsia & Gao, 1990), which is based on the est

21、imation of unknown effects due to system uncertainties using theARTICLE IN PRESSServovale 1Servovale 2i2i1AmpUDACMicro ComputerStructureSpringRollGap ControlCylinderXLinear ScaleLoad CellMaterial SpringDisturbanceCylinde

22、rFig. 1. Schematic diagram of the electro-hydraulic position control system.Table 1 Specifications of the components used in the experimentParts/instruments Company/model number SpecificationsPower unit Vickers Supply pr

23、essure: 70.3 kgf/cm2Roll-gap control cylinder TAIYO/140H-7 Piston diameter: 40 mm Structure spring O Spring constant: 90 kgf/mm Material spring O Spring constant: 45 kgf/mm Servo valve Moog/73-101 Rated flow: 9.5 lpm (at

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