Second order switching time optimization for time-varying nonlinear systems

Second order switching time optimization for time-varying nonlinear systems
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DOI：
10.1109/cdc.2009.5400282
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发表时间：
2009-12
期刊：
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
影响因子：
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通讯作者：
Elliot R. Johnson;T. Murphey
Elliot R. Johnson;T. Murphey
中科院分区：
其他
文献类型：
--
作者：
Elliot R. Johnson;T. Murphey

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This paper presents second-order switching time optimization techniques for nonlinear time-varying systems that are piecewise second-differentiable. The techniques are based on direct analysis of flows rather than constrained optimization methods, making it possible to take higher order derivatives. The resulting algorithms also use the same number of integrations along the trajectory regardless of the number of switching times. Two examples are included-a linear example seen previously in the literature and a nonlinear example that emphasizes the fast convergence rates of second-order optimizations compared to first order techniques (e.g. convergence in 19 iterations compared to over 25,000).