Optimal control problems naturally arise in several kinds of applications, including automotive systems. Unfortunately, the solution of such problems-which hinges upon a partial differential differential equation, the so-called Hamilton-Jacobi-Bellman (HJB) pde-might be hard or even impossible to determine in practice. Herein, introducing the notion of Dynamic Value function, we propose a novel technique that consists in the immersion of the given model into an extended state-space in which the solution may be defined in a constructive manner. This leads to a dynamic control law that approximates the optimal policy. The proposed approach is validated by means of a case study arising from the field of combustion engines, namely optimal control of the torque and the speed of a test bench. © Springer International Publishing Switzerland 2014.

Sassano, M., Astolfi, A. (2014). Approximate Solution of HJBE and Optimal Control in Internal Combustion Engines. In Lecture Notes in Control and Information Sciences (pp.59-73). Springer Verlag [10.1007/978-3-319-05371-4_4].

Approximate Solution of HJBE and Optimal Control in Internal Combustion Engines

Sassano, Mario;Astolfi, Alessandro
2014

Abstract

Optimal control problems naturally arise in several kinds of applications, including automotive systems. Unfortunately, the solution of such problems-which hinges upon a partial differential differential equation, the so-called Hamilton-Jacobi-Bellman (HJB) pde-might be hard or even impossible to determine in practice. Herein, introducing the notion of Dynamic Value function, we propose a novel technique that consists in the immersion of the given model into an extended state-space in which the solution may be defined in a constructive manner. This leads to a dynamic control law that approximates the optimal policy. The proposed approach is validated by means of a case study arising from the field of combustion engines, namely optimal control of the torque and the speed of a test bench. © Springer International Publishing Switzerland 2014.
Optimization and Optimal Control in Automotive Systems: workshop organized by the Austrian Center of Competence in Mechatronics, ACCM 2013
Linz, aut
2013
Rilevanza internazionale
Settore ING-INF/04 - Automatica
English
Library and Information Sciences
http://www.springer.com/series/642
Intervento a convegno
Sassano, M., Astolfi, A. (2014). Approximate Solution of HJBE and Optimal Control in Internal Combustion Engines. In Lecture Notes in Control and Information Sciences (pp.59-73). Springer Verlag [10.1007/978-3-319-05371-4_4].
Sassano, M; Astolfi, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/211863
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