In this paper a collection of control algorithms which are able to give rise to 2-sliding modes
have been presented, and for each of them the sufficient convergence conditions are given …

Term “Conventional” sliding mode control (SMC) was introduced in the book Sliding Mode
Control and Observation [1] by the authors, working in the area of high order sliding mode …

Control in the presence of uncertainty is one of the main topics of modern control theory. In
the formulation of any control problem there is always a discrepancy between the actual …

Being a motion on a discontinuity set of a dynamic system, sliding mode is used to keep
accurately a given constraint and features theoretically-infinite-frequency switching …

The main problem in differentiator design is to combine differentiation exactness with
robustness in respect to possible measurement errors and input noises. The proposed …

This book presents a coherent framework for understanding the dynamics of piecewise-
smooth and hybrid systems. An informal introduction expounds the ubiquity of such models …

Relying on the possibility of generating a second-order sliding motion by using, as control,
the first derivative of the control signal instead of the actual control, a new solution to the …

This communique proposes a multivariable super-twisting sliding mode structure which
represents an extension of the well-known single input case. A Lyapunov approach is used …

Stability analysis is developed for uncertain nonlinear switched systems. While being
asymptotically stable and homogeneous of degree q< 0, these systems are shown to …

The effective application of sliding mode control to mechanical systems is not straightforward
because of the sensitivity of these systems to chattering. Higher-order sliding modes can …