Reactive Nonholonomic Trajectory Generation via Parametric Optimal Control  

Oleh:

Kelly, Alonzo ; Nagy, Bryan

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: The International Journal of Robotics Research vol. 22 no. 7-8 (Jul. 2003), page 583-601.
Topik: mobile robots; car-like robots; trajectory generation; curve generation; nonholonomic; clothoid; cornu spiral; optimal control
Fulltext: 583.pdf (453.61KB)

Isi artikel

There are many situations for which a feasible nonholonomic motion plan must be generated immediately based on real-time perceptual information. Parametric trajectory representations limit computation because they reduce the search space for solutions (at the cost of potentially introducing suboptimality). The use of any parametric trajectory model converts the optimal control formulation into an equivalent nonlinear programming problem. In this paper, curvature polynomials of arbitrary order are used as the assumed form of solution. Polynomials sacrifice little in terms of spanning the set of feasible controls while permitting an expression of the general solution to the system dynamics in terms of decoupled quadratures. These quadratures are then readily linearized to express the necessary conditions for optimality. Resulting trajectories are convenient to manipulate and execute in vehicle controllers and they can be computed with a straightforward numerical procedure in real time.

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