摘要
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.
基金
The work of A.Astolfi has been partially supported by the European Union’s Horizon 2020 research and innovation programme under grant agreement No 739551(KIOS CoE).
