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Impact of regular perturbations in input constrained optimal control problems
Optimal Control Applications and Methods ( IF 1.8 ) Pub Date : 2020-04-28 , DOI: 10.1002/oca.2605
D. Maamria 1 , F. Chaplais 2 , A. Sciarretta 3 , N. Petit 2
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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 ε appearing in the dynamics or the cost function lead to a variation of magnitude 2 in the optimal cost. The scale factor K can be estimated from the nominal (ε=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.

中文翻译:

规则摄动在输入约束最优控制问题中的影响

本文探讨了非线性系统中输入受约束的最优控制问题中规则扰动(即小项)的影响。详细地,它被示出幅度该扰动方面ε出现在动态或成本函数导致幅度的变化2在最佳成本。比例因子K可以从名义(ε = 0)解和扰动的解析表达式来估计。此结果扩展了在没有输入约束的情况下已建立的现有结果。从技术上讲,该结果是通过内部惩罚来证明的,该内部惩罚允许构建一系列次优可行解。两个数值示例用作说明。
更新日期:2020-04-28
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