Abstract
This paper presents an approach to approximate the solution of the infinite horizon optimal control problem for a class of nonlinear systems. Instead of finding an approximate solution of the Hamilton-Jacobi-Bellman (HJB) equation for a given system and cost functional, a control lyapunov function (CLF) is constructed, that solves an optimal control problem for the same system but for a different and a-priori unknown cost-function. By adapting the CLF in an appropriate way, the inverse cost-function approximates the desired cost-function and therefore the found solution approximates the optimal solution. This approach does not only approximate the solution of the original optimal control problem, but it delivers the exact solution of a similar optimal control problem for the very same system.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
