Abstract

This paper deals with the stabilization of affine nonlinear systems with input saturation. We formulate the Hamilton-Jacobi-Bellman (HJB) equation corresponding to constrained control. A recursive algorithm for sequential improvement of the control which converges to the nearly optimal law is proposed by solving for a sequence of cost functions satisfying a sequence of generalized Hamilton-Jacobi-Bellman (GHJB) equations, and may provide a procedure for selecting effective controls for nonlinear systems with input constraints. The approach has been applied to a simple example to show the effectiveness of the proposed controller with input constraints.

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 call

Disclaimer: 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.