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Impact of regular perturbations in input constrained optimal control problems

机译:常规扰动在输入约束的影响最佳控制问题

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摘要

This article explores the impact of regular perturbations (ie, small terms) in input constrained optimal control problems for nonlinear systems. In detail, it is shown that perturbation terms of magnitude epsilon appearing in the dynamics or the cost function lead to a variation of magnitude K epsilon(2) in the optimal cost. The scale factor K can be estimated from the nominal (epsilon=0) solution and the analytic expressions of the perturbations. This result extends existing results that have been established in the absence of input constraints. Technically, the result is proven by means of interior penalties which allow constructing a sequence of suboptimal feasible solutions. Two numerical examples serve as illustration.
机译:本文探讨了非线性系统的输入受限的最佳控制问题中的常规扰动(即小术语)的影响。 详细地说,示出了在动力学或成本函数中出现在动力学或成本函数中的扰动级ε的截肢术语以最佳成本的幅度Kε(2)的变化。 可以从标称(Epsilon = 0)溶液和扰动的分析表达式估计比例因子K. 该结果扩展了在没有输入限制的情况下建立的现有结果。 从技术上讲,通过内部处罚证明了结果,允许构建一系列次优可行解决方案。 两个数值例子用作图示。

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