[1] 陈艳玫,刘子锋,李贤德,等.2015-2050年中国人口老龄化趋势与老年人口预测[J].中国社会医学杂志,2018,35(5):480- 483. [2] UDWADIA F E, KALABA R E. A new perspective on constrained motion[J]. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences,1992,439(1906):407-410. [3] UDWADIA F E. A new perspective on the tracking control of nonlinear structural and mechanical systems[J]. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. The Royal Society,2003,459(2035):1783- 1800. [4] RAY J R. Nonholonomic constraints[J]. American Journal of Physics,1966,34(5):406-408. [5] Brockett R W. Asymptotic stability and feedback stabilization[J]. Differential Geometric Control Theory,1983,27(1):181-191. [6] CHEN Y H, ZHANG X. Adaptive robust approximate constraint-following control for mechanical systems[J]. Journal of the Franklin Institute,2010,347(1):69-86. [7] CHEN Y H. Constraint-following servo control design for mechanical systems[J]. Journal of Vibration and Control,2009,15(3):369- 389. [8] HUANG K, SHAO K, ZHEN S, et al. A novel approach for modeling and tracking control of a passive-wheel snake robot[J]. Advances in Mechanical Engineering,2017,9(3):1-15. [9] ZHAO H, LI C, HUANG K, et al. Trajectory tracking control of parallel manipulator based on Udwadia-Kalaba approach[J]. Mathematical Problems in Engineering,2017,2017(2):1-12. [10] HE C, HUANG K, CHEN X, et al. Transportation control of cooperative double-wheel inverted pendulum robots adopting Udwadia-control approach[J]. Nonlinear Dynamics,2018,91(4):2789-2802. [11] ZHAO H, ZHEN S, CHEN Y H. Dynamic modeling and simulation of multi-body systems using the Udwadia-Kalaba theory[J]. Chinese Journal of Mechanical Engineering,2013,26(5):839- 850. [12] GOULT R J. Applied linear algebra[M]. New York: Halsted Press,1977. [13] DU H, CHEN X, WEN G, et al. Discrete-time fast terminal sliding mode control for permanent magnet linear motor[J]. IEEE Transactions on Industrial Electronics,2018,65(12):9916- 9927. [14] RASHID R, PERUMAL N, ELAMVAZUTHI I, et al. Mobile robot path planning using ant colony optimization[C]. IEEE International Symposium on Robotics & Manufacturing Automation,2017. [15] HAN J, SEO Y. Mobile robot path planning with surrounding point set and path improvement[J]. Applied Soft Computing,2017,57:35-47. [16] TZAFESTAS S G. Mobile robot control and navigation: a global overview[J]. Journal of Intelligent & Robotic Systems,2018(8):1- 24. |