Solving the time-optimal control problem for nonlinear non-autonomous linearizable systems

2022/03/16 by K. V. Sklyar, Sklyar, Katerina V., S. Yu. Ignatovich +1
Engineering · #49K30 #49M99 #93B18 #93C10 #Advanced Control Systems Optimization #FOS: Mathematics #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2203.08766

openalex publication_date 2022/03/16 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We present the conditions under which the time-optimal control problem for a nonlinear non-autonomous linearizable system can be solved by the method of successive approximations, at each step of which a power Markov moment min-problem is solved. The proposed method can be efficiently implemented by use of symbolic and numerical calculations.

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