Towards velocity turnpikes in optimal control of mechanical systems

The paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady states, and hyperbolic velocity turnpike properties for analy...

詳細記述

書誌詳細
主要な著者: Faulwasser, T, Flaßkamp, K, Ober-Blobaum, S, Worthmann, K
フォーマット: Conference item
出版事項: Elsevier 2019
その他の書誌記述
要約:The paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady states, and hyperbolic velocity turnpike properties for analysis and control. We show for a specific example that, for all finite horizons, both the (essential part of the) optimal solution and the orbit of the time-varying turnpike correspond to (optimal) trim solutions. Hereby, the present paper appears to be the first to combine the concepts of trim primitives and time-varying turnpike properties.