You have reached my virtual home. Any sufficiently advanced technology is indistinguishable from magic. My main research interest is in nonlinear control theory.
Control implies modification of system dynamics towards a desirable one.
More detailed summary on classical control theory and modern control trends as well as description of my current and previous projects are available. While the evolution of a RD system is governed by partial differential equations with infinite dimensional state the implementation issues require a controller to be finite-dimensional. A nonlinear model reduction method was employed to approximate the long-term behavior of the PDE dynamics by a dynamical system of finite, small dimension. On the other hand, nonlinear, feedback linearizing control results in large control spillover to the residual modes. The high nonlinearity as well as input interaction of the resulting system are the main challenges for the design of a nonlinear controller stabilizing unstable steady-states.