Nanzan University (Tokyo, Japan)
In this talk, I introduce how mathematical control theory based on dynamical system theory and mechanical engineering can merge into a solid technology that can be used for real-world applications. More specifically, nonlinear optimal control theory is one that has been a bottleneck for a long time and mechatronics motion control is another that is essential in robotics, factory automation, car industry and aerospace engineering. I will start with the Hamilton-Jacobi equation arising from the infinite horizon nonlinear optimal control problem and the stable manifold method that my team has been developing and will move on to specific mechatronics motion control problems which have never been solved before. In the last part, I will again take a mathematical look at the key issues from which new development may be possible.