Abstract
Most machining systems repeat predetermined tasks during machining. In most cases, the measurement of parts is carried out after the production of parts. However, in the actual production process, even if the system measurement is allowed or controllable in the whole production cycle, it often needs to pay more costs and the implementation is more complex. With the intention of improving the above characteristics of the industrial process with repeated batch processing and the optimization problem of the machining system that cannot be measured frequently, based on this, this paper proposes a measurement-based integrated two-level optimization strategy. In this two-layer strategy, the repeated update strategy is used to perform within-run correction to ensure the tracking accuracy and the cycle-to-cycle corrections are based on cycle-to-cycle control adaptive scheme to improve the optimization performance. The scheme combines real-time tracking and offline optimization, and the reactivity of the processing system is effectively improved. In order to make the two-layer optimization scheme more versatile, this paper introduces the periodic time-varying system and increases the flexibility of constraints and applies it to CNC cam grinding. Simulation and experiments verify the effectiveness and superiority of the scheme.
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The datasets generated and analyzed during the current study are available from the corresponding author on reasonable request.
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References
Cheng MY, Lee CC (2007) Motion controller design for contour-following tasks based on real-Time contour error estimation. IEEE Trans Ind Electron 54(3):1686-1695
Haack B, Tomizuka M (1991) The effect of adding zeroes to feedforward controllers. J Dyn Syst Meas Control 113(1):6–10
Koren Y, Lo CC (1992) Advanced controllers for feed drives. CIRP Ann - Manuf Technol 41(2):689–698
Tomizuka M (1987) Zero phase error tracking algorithm for digital control. J Dyn Syst Meas Control 109(1):65–68
Torfs D, Schutter JD, Swevers J (1992) Extended bandwidth zero phase error tracking control of nonminimal phase systems. J Dyn Syst Meas Control 114(3):347–351
Koren Y (1980) Cross-coupled biaxial computer control for manufacturing systems. J Dyn Syst Meas Control 102(4):265–272
Yuan J, Ni J (1998) The real-time error compensation technique for CNC machining systems. Mechatronics 8(4):359–380
Yang JZ, Li ZX (2011) A novel contour error estimation for position loop-based cross-coupled control. IEEE/ASME Trans Mechatron 16(4):643–655
Su KH, Cheng MY (2008) Contouring accuracy improvement using cross-coupled control and position error compensator. Int J Mach Tool Manu 48(12–13):1444–1453
Uchiyama M (2009) Formation of high-speed motion pattern of a mechanical arm by trial. Trans Soc Instrum Control Eng 14(6):706–712
Zhou YS, Yu F, Xu JM, Hong SB (2011) The cascade type iterative learning cross-coupled contour error control method. Bull Sci Technol 27(5):737–739
Lee KS, Lee JH (2003) Iterative learning control-based batch process control technique for integrated control of end product properties and transient profiles of process variables. J Process Control 13(7):607–621
Lin JW, Shen PF, Wen HP (2015) Repetitive control mechanism of disturbance cancellation using a hybrid regression and genetic algorithm. Mech Syst Signal Process 62–63(3):356–365
Lee JH, Lee KS, Natarajan S (2001) A model-based predictive control approach to repetitive control of continuous processes with periodic operations. J Process Control 11(2):195–207
Sachs E, Guo RS, Ha S, Hu A (1990) On-line process optimization and control using the sequential design of experiments. Dig Tech Pap.1990Symp VLSI Technol 99–100
Sachs E, Guo RS, Ha S, Hu A (1991) Process control system for VLSI fabrication. IEEE Trans Semicond Manuf 4(2):134–144
Siu TS (2001) Cycle to cycle feedback control of manufacturing processes. Mass Inst Technol 114(2):158–174
Wang J, Sui Z, Sun ZB, Li C, Jin H, Wang HY, Tian YT (2015) The cam grinding contour error compensation based on cycle to cycle control. 2015 34th CCC.4418-4423
Wang J, Tian YT, Sui Z, Sun Z (2019) Two loop control-based generalized cycle-to-cycle optimization for machining workpieces with non-circular curve in cnc grinding. Int J Adv Manuf Technol 101:939–950
Podmajersky M, Fikar M, Chachuat B (2013) Measurement-based optimization of batch and repetitive processes using an integrated two-layer architecture. J Process Control 23(7):943–955
Li S, Yang J, Chen WH, Chen X (2012) Generalized extended state observer based control for systems with mismatched uncertainties. IEEE Trans Ind Electron 59(12):4792–4802
She JH, Fang M, Ohyama Y, Hashimoto H, Wu M (2008) Improving disturbance-rejection performance based on an equivalent-input-disturbance approach. IEEE Trans Ind Electron 55(1):380–389
Wang J, Sui Z, Sun ZB, Yu WC, Li HY, Tian YT (2015) The cam contour control in grinding based on repetitive control and error compensation. IFAC Papersonline 48(28):841–846
Wang J, Sui Z, Tian YT, Wang X, Fang L (2015) A speed optimization algorithm based on the contour error model of lag synchronization for CNC cam grinding. Int J Adv Manuf Technol 80(5–8):1421–1432
Tang H, Deng ZH, Guo YS, Qian J, Reynaerts D (2014) Research on constant grinding depth model for cam grinding. Int J Adv Manuf Technol 74(1–4):351–359
Acknowledgements
This work is supported by the Ph.D. Programs Foundation of Henan Polytechnic University, The Intelligent Profile Error Compensation In High Speed & High Precision CNC Cam Grinding (B2018-660807/027) and the Key Scientific Research Projects on Institutions of Higher Education of Henan Province Research on Non-circular Profile Error Control Based Hybrid Driven Using Data-based and Model-based (22B413005).
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Jing Wang proposed this research and contributed to writing—original draft. Jie Zhang and Fuwang Zhang contributed to Cam grinding experiment. Zhongbo Sun reviewed and modified the study. Yantao Tian and Zhen Sui helped in acquisition and interpretation of data. All authors read and approved the final manuscript.
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All data in this paper are obtained from CNC grinding experiments and do not involve human participants and/or animals.
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Wang, J., Zhang, J., Zhang, F. et al. Measurement-based two-layer optimization scheme for machining system with repetitive and batch characteristics. Int J Adv Manuf Technol 121, 2553–2563 (2022). https://doi.org/10.1007/s00170-022-09460-1
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DOI: https://doi.org/10.1007/s00170-022-09460-1