This school will focus on control, state observation, and differentiation by sliding modes, focussing on three main objectives: discrete-time systems, infinite-dimensional systems (EDP), and homogeneous systems. Sliding modes control has indeed recently experienced an unexpected revival with the introduction of new discrete-time algorithms (a fundamental aspect for applications and the treatment of the “chattering” phenomenon), homogeneity-based analysis (which allows finite-time stabilization to be addressed in a rigorous and broad framework for so-called high-order sliding modes), and the analysis of partial differential equation (PDE) control.
This school will offer an introductory course which will provide an overview on the state of the art on homogeneous systems and discrete-time sliding modes and will allow participants to take feedback of their respective progress