[1] LEI X Q, LI F, TU X P, et al.. Geometry searching approximation algorithm for flatness error evaluation［J］. Opt. Precision Eng., 2013, 21(5): 1312-1317.(in Chinese)

[2] WEN Y M, WEN W J. Designing program for measuring departure with minimum zone from flatness［J］. Tool Technology, 2014, 48(8): 136-140.(in Chinese)

[3] WEN X L, SONG A G. The application of improved genetic algorithm based on real coding in flatness error evaluation［J］. Journal of Applied Sciences, 2003, 21(3): 221-224.(in Chinese)

[4] YANG J, ZHAO H Y. The research of floating-point coding improved genetic algorithm flatness error evaluation［J］. Opt. Precision Eng., 2017, 25(3): 706-711.(in Chinese)

[5] LUO J, WANG Q, FU L. Application of modified artificial bee colony algorithm to flatness error evaluation［J］. Opt. Precision Eng., 2012, 20(2): 422-429.(in Chinese)

[6] CUI CH C, ZHANG G P, FU SH W, et al.. Particle swarm optimization-based flatness evaluation［J］. Journal of Huaqiao University: Natural Science, 2008, 29(4): 507-509.(in Chinese)

[7] JIANG W, WANG H L, HE X, et al.. Improvement of PSO algorithm based on fitness feedback effect［J］. Computer Engineering, 2012, 38(22): 146-150.(in Chinese)

[8] FAN Q, YAN X. Self-adaptive differential evolution algorithm with discrete mutation control parameters［J］. Expert Systems with Applications, 2015, 42(3): 1551-1572.

[9] ZHANG Q, YIN D Y, WEI CH X. Hysteresis nonlinear compensation and control for large-aperture piezoelectric fast steering mirror［J］. Infrared and Laser Engineering, 2019, 48(2): 178-185.(in Chinese)

[10] MALLIPEDDI R, SUGANTHAN PN, PAN QK, et al.. Differential evolution algorithm with ensemble of parameters and mutation strategies［J］. Applied Soft Computing, 2011, 11(2): 1679-1696.

[11] WANG Y, CAI Z, ZHANG Q. Differential evolution with composite trial vector generation strategies and control parameters［J］. IEEE Trans. on Evolutionary Computation, 2011, 15(1): 55-66.

[12] TANG Y, WANG ZH Y. An evolution direction-based mutation strategy for differential evolution algorithm［J］. Computer Systems Applications, 2016, 25(10): 146-153.(in Chinese)

[13] KANAD T, SUZUKI S. Evaluation of minimum zone flatness by means of nonlinear optimization techniques and its verification［J］. Prec Eng, 1993, 15(2): 93-99.

[14] VESTERSTROM J, THOMSEN R. A comparative study of differential evolution, particle swarm optimization and evolutionary algorithms on numerical benchmark problems［C］. Congress on Evolutionary Computation, 2004: 1980-1987.

[15] RAINER S, KENNETH P. Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces［J］. Journal of global optimization, 1997, 11(4): 341-359.

[16] WANG ZH Y, JIA G X. Asymmetric hysteresis modeling and internal model control of piezoceramic actuators［J］. Opt. Precision Eng., 2018, 26(10): 2484-2492.(in Chinese)

[17] CUI CH C, CHE R SH, LUO X CH, et al.. Flatness evaluation based on real coded genetic algorithm［J］. Opt. Precision Eng., 2002, 10(1): 36-40.(in Chinese)