Robust Control of Infinite-Dimensional Systems via Sliding Modes

Abstract

Abstract. Infinite-dimensional control systems, driven by a discontinuous feedback, are under study. Discontinuous control algotithms are developed. The algorithms ensure desired dynamic properties as well as robustness of the closed-loop system against matched disturbances. The theory presented is illustrated by applications to heat processes and mechanical distributed oscillators.

Boundary sliding mode control of a system of linear hyperbolic equations: A Lyapunov approach

“…This function represents the sliding variable mentioned earlier. As explained in [28], this sliding variable represents the gradient of the Lyapunov function (2). We consider the set-valued sliding mode controller u defined by, for a.e t 0,…”