Yokose Y,Izumi T.Non-linear two-point boundary value problem obtaining the expansion coefficients by the dynamic GA and its application[J].IEEE Transactions on Electronics,Information and Systems,2005,124:2179-2186.
[2]
Farzadpour F,Danesh M,TorkLarki S M.Development of multi-phase dynamic equations for a seven-link biped robot with improved foot rotation in the double support phase[J].Proceedings of the Institution of Mechanical Engineers Part C—Journal of Mechanical Engineering Science,2015,229:3-17.
[3]
Kennedy J,Eberhart R.Particle swarm optimization[C]//Proceedings of IEEE International Conference on Neural Networks,1995.
[4]
Lee S,Fink W,von Allmen P,et al.Evolutionary computing for low-thrust navigation[C]//AIAA Space Conference,Long Beach,California,August 30September 1,2005.
[5]
Abo-Hammou Z,Yusuf M,Mirza N,et al.Numerical solution of second-order,two-point boundary value problems using continuous genetic algorithms[J].International Journal for Numerical Methods in Engineering,2004,6:1219-1242.
[6]
杨贵志,马书根,李斌,等.面对蛇形机器人的三维步态控制的层次化联结中枢模式生成器模型[J].自动化学报,2013,(10):1611-1622.Yang Guizhi,Ma Shugen,Li Bin,et al.A hierarchical connectionist central pattern generator model for controlling three-dimensional gaits of snake-like robots[J].Acta Automatica Sinica,2013,(10):1611-1622.
[7]
张国腾,荣学文,李贻斌,等.基于虚拟模型的四足机器人对角小跑步态控制方法[J].机器人,2016,(1):64-74.Zhang Guoteng,Rong Xuewen,Li Yingbin,et al.Control of the quadrupedal trotting based on virtual model[J].Robot,2016,(1):64-74.
[8]
李攀,魏洪兴.双足机器人步态规划方法研究[J].机械工程与自动化,2017,(4):22-24.Li Pan,Wei Hongxing.Method of gait planning for biped robot[J].Mechanical Engineering&Automation,2017,(4):22-24.
[9]
Crispin Y.An evolutionary approach to nonlinear discrete-time optimal control with terminal constraints[C]//Informatics in Control,Automation and Robotics I(Braz J,Vieira A,Encarnacao B,editors),Springer,2006:89-97.
[10]
丁加涛,肖晓辉,王杨.足步行机器人在线步态生成与偏航控制策略[J].中南大学学报(自然科学版),2016,(4):1136-1143.Ding Jiatao,Xiao Xiaohui,Wang Yang.Strategy for biped gait robot online generation and yaw control[J].Journal of Central South University(Science and Technology),2016,(4):1136-1143.
[11]
李建,陈卫东,王丽军,等.不平整地面上双足机器人的步态控制[J].东南大学学报(自然科学版),2009,(S1):129-133.Li Jian,Chen Weidong,Wang Lijun,et al.Walking control for biped robots on unevenground[J].Journal of Southeast University(Natural Science Edition),2009,(S1):129-133.
[12]
谭建豪,章兢,何志.人类控制策略在双足机器人步态控制中的应用[J].电子测量与仪器学报,2013,(1):8-14.Tan Jianhao,Zhang Jing,He Zhi.Application of human control strategy in the gait control of biped robot[J].Journal of Electronic Measurement and Instrument,2013,(1):8-14.
[13]
王丽杨,刘治,曾小杰,等.基于能效优化的双足机器人步态控制方法[J].控制理论与应用,2011,(5):667-674.Wang Liyang,Liu Zhi,Zeng Xiaojie,et al.Gait control based on energy-efficiency optimization for biped robots[J].Control Theory&Applications,2011,(5):667-674.
[14]
王立鹏,王军政,汪首坤,等.基于足端轨迹规划算法的液压四足机器人步态控制策略[J].机械工程学报,2013,(1):39-44.Wang Lipeng,Wang Junzheng,Wang Shoukun,et al.Strategy of foot trajectory generation for hydraulic quadruped robots gait planning[J].Journal of Mechanical Engineering,2013,(1):39-44.
[15]
蔡楷旋,蔡勇,杨益.四足机器人柔性腿的步态运动图元分析[J].械设计与制造,2016,(2):232-235.Cai Kaixuan,Cai Yong,Yang Yi.Analysis of gait motion primitives of aquadruped robot with a flexible leg[J].Machinery Design&Manufacture,2016,(2):232-235.
[16]
van den Bogert A,Samorezov S,Davis B,et al.Modeling and optimal control of an energy-storing prosthetic knee[J].Journal of Biomechanical Engineering,2012,134:1-8.