The minimum principle for time-varying hybrid systems with state switching and jumps
The minimum principle for time-varying hybrid systems with state switching and jumps
复制标题
具有状态切换和跳转的时变混合系统的最小原理
DOI：
10.1109/cdc.2011.6160587
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
M. Buss
中科院分区：
文献类型：
--
作者：
Benjamin Passenberg;M. Leibold;O. Stursberg;M. Buss
将混合最小原理(HMP)推广到具有自主(内强迫)切换、受控(外强迫)切换、切换时连续状态跳变以及描述连续和离散动态的时变函数的混合系统。混合最优控制问题(HOCP)包括运行成本、切换成本和终端成本。HMP为HOCP的解提供了必要的最优性条件，可作为开发数字最优控制算法的基础。
The hybrid minimum principle (HMP) is extended to hybrid systems with autonomous (internally forced) switching on switching manifolds, controlled (externally forced) switching, jumps of the continuous state when switching, and time-varying functions for specifying the continuous and discrete dynamics. The formulation of the hybrid optimal control problem (HOCP) includes running, switching, and terminal costs. The HMP provides necessary optimality conditions for a solution of the HOCP and can be used as basis for developing numerical optimal control algorithms.