On quantization and optimal control of dynamical systems with symmetries
On quantization and optimal control of dynamical systems with symmetries
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对称性动力系统的量化与最优控制
DOI：
10.1109/cdc.2002.1184606
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
F. Bullo
中科院分区：
文献类型：
--
作者：
Emilio Frazzoli;F. Bullo
本文概述了量化控制系统的一些研究进展。我们考虑了机器人和自动驾驶汽车应用中产生的动力系统，并描述了将其动力学转化为有限状态自动机的过程。转录过程扩展了已知的先前结果。我们考虑了最优控制问题以及线性规划算法在轨迹规划中起作用的条件。
This paper outlines some progress in the study of quantized control systems. We consider the dynamical systems arising from robotics and autonomous vehicles applications and describe a procedure to transcribe their dynamics into finite-state automata. The transcription procedure extends known previous results. We consider optimal control problems and present conditions under which linear programming algorithms are helpful in trajectory planning.