Steering a Three-Input Nonholonomic System using Multi-rate Controls

In this paper we examine a multi-rate control scheme for nonholonomic path planning using constant control inputs over different time periods. For chained systems, an exact point-topoint trajectory is generated. Simulation results are presented for a three-input system, and comparisons are made with a sinusoidal method for path planning.

[1]  H. Sussmann,et al.  Controllability of nonlinear systems , 1972 .

[2]  S. Monaco,et al.  On the sampling of a linear analytic control system , 1985, 1985 24th IEEE Conference on Decision and Control.

[3]  S. Sastry,et al.  Steering nonholonomic systems using sinusoids , 1990, 29th IEEE Conference on Decision and Control.

[4]  Jean-Claude Latombe,et al.  Robot motion planning , 1970, The Kluwer international series in engineering and computer science.

[5]  Richard M. Murray,et al.  Steering nonholonomic systems in chained form , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[6]  D. Normand-Cyrot,et al.  An introduction to motion planning under multirate digital control , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[7]  S. Sastry,et al.  Nonholonomic motion planning: steering using sinusoids , 1993, IEEE Trans. Autom. Control..

[8]  S. Bhat.  Controllability of Nonlinear Systems , 2022 .