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Titlebook: Hybrid Systems, Optimal Control and Hybrid Vehicles; Theory, Methods and Thomas J. Böhme,Benjamin Frank Book 2017 Springer International P

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The Minimum Principle and Hamilton–Jacobi–Bellman Equationpproached from the classical calculus of variation. We show that the classical calculus of variation has some major limitations to modern control problems and motivate Pontryagin’s minimum principle. The Hamilton–Jacobi–Bellman method is discussed as an alternative approach to gain first-order neces
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Dynamic Programmingl control problems. The theoretical foundation is based on the Hamilton–Jacobi–Bellman equation and is relatively easy to understand compared to the much more involved indirect methods. The general algorithm can be implemented in a simple form using only elementary operations compared with the more
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Indirect Methods for Optimal Controled in Pontryagin’s minimum principle, and attempt to locate control and state trajectories, which satisfy these conditions. An extension of the indirect shooting method for switched systems that yield a solution for systems of low complexity is presented in this chapter.
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Direct Methods for Optimal Controltion of the control and the state functions on a time grid to a nonlinear constrained optimization problem. This procedure is known as direct transcription of an optimal control problem and refers to the method of approximating the infinite-dimensional problem by a finite-dimensional one and to solv
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1430-9491 des tools for solving engineering problems of growing complexity in the field of hybrid vehicles..Important topics of real relevance rarely found in text books and research publications—switching costs, sensiti978-3-319-84618-7978-3-319-51317-1Series ISSN 1430-9491 Series E-ISSN 2193-1577
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