Path-Following Control Based on Difference Between Trajectories
Hiroshi OKAJIMA, Toru ASAI
This paper deals with path-following control. In existing path-following methods, velocity of e.g. vehicles has been often given as reference inputs. However, velocity is tied in with other tracking characteristics and there exist trade-offs between velocity, tracking errors, control costs and so on. To deal with the trade-offs explicitly, we first formulate a cost function based on difference between a reference path and trajectories of vehicle motion. The difference is modeled in terms of dynamics of curvature. This formulation enables us to deal with trade-offs among tracking error, reaching time and control costs. The control input can be given by solving a two point boundary problem numerically. The effectiveness of the proposed method is examined by numerical examples.