D. Gorinevsky et al., RADIAL BASIS FUNCTION NETWORK ARCHITECTURE FOR NONHOLONOMIC MOTION PLANNING AND CONTROL OF FREE-FLYING MANIPULATORS, IEEE transactions on robotics and automation, 12(3), 1996, pp. 491-496
This paper considers a problem of nonholonomic motion planning. A prac
tical paradigm for planning and stabilization of motion in a class of
multivariate nonlinear (nonholonomic) systems is presented and applied
to a planar free-floating manipulator system. The controller architec
ture designed in the paper is based on the radial basis Function appro
ximation of an optimal control program for any desired motion. This ar
chitecture also incorporates a sampled-data feedback stabilization alg
orithm, The proposed control technique overcomes certain problems asso
ciated with other control approaches available for nonholonomic system
s. The presented simulation results reveal a promising potential of th
e proposed control paradigm. This paradigm can be extended to a broade
r class of nonlinear control problems.