Peak Estimation for Uncertain and Switched Systems
Peak Estimation for Uncertain and Switched Systems
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DOI：
10.1109/cdc45484.2021.9683778
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发表时间：
2021-03
期刊：
影响因子：
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通讯作者：
Jared Miller;D. Henrion;M. Sznaier;Milan Korda
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文献类型：
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作者：
Jared Miller;D. Henrion;M. Sznaier;Milan Korda
沿动力系统轨迹的状态函数极值的峰值估计界。本文的重点是将峰值估计扩展到具有时间无关和时间相关不确定性的连续和离散设置。最优控制技术用于将不确定性纳入现有的基于职业测度的峰值估计框架，其中包括对处理切换型（多面体）不确定性的特殊考虑。所得到的无限维线性规划可以用由矩- sos层次结构引起的线性矩阵不等式近似求解。
Peak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete settings with time-independent and time-dependent uncertainty. Techniques from optimal control are used to incorporate uncertainty into an existing occupation measure-based peak estimation framework, which includes special consideration for handling switching-type (polytopic) uncertainties. The resulting infinite-dimensional linear programs can be solved approximately with Linear Matrix Inequalities arising from the moment-SOS hierarchy.