Dynamic optimisation, with a particular focus on optimal control and nonzero-sum differential games, is considered. For nonlinear systems solutions sought via the dynamic programming strategy are inevitably characterised by partial differential equations (PDEs) which are often difficult to solve. A detailed overview of a control design framework which enables the systematic construction of approximate solutions for optimal control problems and differential games without requiring the explicit solution of any PDE is provided along with a novel design of a nonlinear control gain aimed at improving the ‘level of approximation’ achieved. Multi-agent systems are considered as a possible application of the theory.

Sassano, M., Mylvaganam, T., Astolfi, A. (2019). An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results. JOURNAL OF CONTROL AND DECISION, 6(1), 1-29 [10.1080/23307706.2018.1552208].

An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results

Sassano M.;Astolfi A.
2019

Abstract

Dynamic optimisation, with a particular focus on optimal control and nonzero-sum differential games, is considered. For nonlinear systems solutions sought via the dynamic programming strategy are inevitably characterised by partial differential equations (PDEs) which are often difficult to solve. A detailed overview of a control design framework which enables the systematic construction of approximate solutions for optimal control problems and differential games without requiring the explicit solution of any PDE is provided along with a novel design of a nonlinear control gain aimed at improving the ‘level of approximation’ achieved. Multi-agent systems are considered as a possible application of the theory.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-INF/04 - Automatica
English
disturbance attenuation, game theory, multi-agent systems, nonlinear control systems, Optimal control
Sassano, M., Mylvaganam, T., Astolfi, A. (2019). An algebraic approach to dynamic optimisation of nonlinear systems: a survey and some new results. JOURNAL OF CONTROL AND DECISION, 6(1), 1-29 [10.1080/23307706.2018.1552208].
Sassano, M; Mylvaganam, T; Astolfi, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/211795
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