This paper presents an adaptive higher order sliding mode controller based on first adaptive sliding mode control and an integral sliding variable. The idea is based on the definition of a nominal control which can stabilize a pure chain of integrators to zero in finite time. The novelty of the proposed approach is that uncertainties/perturbations effects are rejected by a first order sliding m...

this paper introduces an indirect adaptive fuzzy sliding mode controller as a power system stabilizer for damping local and inter-area modes of oscillations of multi-machine power systems. this controller is designed based on the combination of sliding mode controller and the fuzzy logic systems. the fuzzy systems are used to approximate the unknown functions of power system model. generator sp...

We present a formula that computes the output of an R-controllable, regular, single-input linear timeinvariant implicit system in such a way that it has prescribed relative degree and zeros. The formula is inspired on different generalizations of Ackermann’s formula. A possible application is in the context of sliding-mode control of implicit systems where, as the first step, one can use the pr...