NSIPS

Tools for robotic trajectory planning using cubic splines and semi-infinite programming We describe how robot trajectory planning, using cubic splines to generate the trajectory, can be formulated as standard semi-infinite programming (SIP) problems and efficiently solved by a discretization method. These formulated problems were coded in the publicly available SIPAMPL environment and to allow the codification of these problems a cubic splines dynamic library for AMPL was developed. The discretization method used to solve the formulated problems is implemented in the NSIPS solver and numerical results with four particular problems are shown.


References in zbMATH (referenced in 13 articles )

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  1. Okuno, Takayuki; Fukushima, Masao: An interior point sequential quadratic programming-type method for log-determinant semi-infinite programs (2020)
  2. Li, Chong; Meng, Li; Peng, Lihui; Hu, Yaohua; Yao, Jen-Chih: Weak sharp minima for convex infinite optimization problems in normed linear spaces (2018)
  3. Mishra, S. K.; Singh, Yadvendra; Verma, R. U.: Saddle point criteria in nonsmooth semi-infinite minimax fractional programming problems (2018)
  4. Guu, Sy-Ming; Singh, Yadvendra; Mishra, Shashi Kant: On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints (2017)
  5. Auslender, A.; Ferrer, A.; Goberna, M. A.; López, M. A.: Comparative study of RPSALG algorithm for convex semi-infinite programming (2015)
  6. Ma, Yong; Wang, Hongwei; Xie, Yong; Guo, Min: Path planning for multiple mobile robots under double-warehouse (2014)
  7. He, Li; Huang, Guo H.; Lu, Hongwei: Bivariate interval semi-infinite programming with an application to environmental decision-making analysis (2011)
  8. Vaz, A. Ismael F.; Ferreira, Eugénio C.: Air pollution control with semi-infinite programming (2009)
  9. Guo, P.; Huang, G. H.; He, L.: ISMISIP: an inexact stochastic mixed integer linear semi-infinite programming approach for solid waste management and planning under uncertainty (2008)
  10. Vaz, A. Ismael F.; Fernandes, Edite M. G. P.: Tools for robotic trajectory planning using cubic splines and semi-infinite programming (2006)
  11. Vaz, A. Ismael F.; Fernandes, Edite M. G. P.; Gomes, M. Paula S. F.: SIPAMPL: semi-infinite programming with AMPL (2004)
  12. Vaz, A. Ismael F.; Fernandes, Edite M. G. P.; Gomes, M. Paula S. F.: Robot trajectory planning with semi-infinite programming. (2004)
  13. Vaz, A. Ismeal F.; Fernandes, Edite M. G. P.; Gomes, M. Paula S. F.: A quasi-Newton interior point method for semi-infinite programming (2003)