datum: 21.2.2012 v 14:00
název: Invariant manifolds and control system designs. From optimal control to servo system design.
přednášející: Noboru Sakamoto (University of Nagoya, Japan)
místo konání: UTIA, 4.patro, místnost č.474

souhrn: Invariant manifolds play important roles in analyzing dynamical systems and designing control systems. In this talk, we will see that two fundamentals control system design problems, optimal controller and servo system designs, reduce to the computations of invariant manifolds and these manifolds, stable and center-stable manifolds, can be obtained by iterative algorithms that are suitable for computer implementation. Several applications of these design methods will be introduced, such as optimal swing-up and stabilization of inverted pendulum and DC motor control with experimental verifications as well as numerical examples.