Chair of Computational Mathematics Seminar: Nonlinear optimal control via stable manifold approach

Nonlinear optimal control via stable manifold approach

Noboru Sakamoto.

Nanzan University, Nagoya, Japan

Abstract:
Optimal control is a fundamental problem in control theory, but, is still an obstacle in nonlinear control since one has to deal with so-called Hamilton-Jacobi equation (HJE). This is a nonlinear partial differential equation and for infinite interval optimal control it is a generalization of a.g algebraic Riccati equations. A recent development for solving HJEs in nonlinear optimal control is introduced in this talk. This approach is based on stable manifold theory and consists of iterative computations enabling one to apply for real-world systems. This talk starts with the theory of the stable manifold method and presents quite a few applications including experimental verifications.