Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property
Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property
复制标题
保留李亚普诺夫函数性质的近似最优非线性稳定
DOI：
10.1109/cdc.2007.4434428
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
O. Junge
中科院分区：
文献类型：
--
作者：
L. Grüne;O. Junge
我们提出了一种近似优化方法的计算稳定的反馈法，使用分区的状态空间和相应的近似的最优值函数的问题。通过将离散化误差纳入最优控制公式，我们能够计算近似最优值函数，保持李雅普诺夫函数的属性和相应的最优稳定反馈法，这是恒定的每个分区元素。实际计算使用高效的图论算法。
We present an approximate optimization approach to the computation of stabilizing feedback laws using a partitioning of the state space and a corresponding approximation of the optimal value function of the problem. By including the discretization errors into the optimal control formulation we are able to compute approximate optimal value functions which preserve the Lyapunov function property and corresponding optimally stabilizing feedback laws which are constant on each partition element. The actual computation uses efficient graph theoretic algorithms.