This paper proposes an adaptive continuous higher order sliding mode control scheme. The control law comprises a structure which provides smooth finite time stabilization of the origin for a nominal disturbance-free system formed from a chain of integrators, together with a super-twisting term to guarantee robustness to a class of twice differentiable uncertainty. The super-twisting scheme is a...

The requirement of a uniformly bounded convergence time for all initial conditions is important for modern control theory. In particular the requirement appears in design of hybrid or switched systems. It can happen in such systems that a dynamic system repeatedly changes its configuration, and the configuration only lasts for some bounded time with its lower estimation known in advance. The na...

the aim of this paper is to design a fractional order sliding mode controllers (fosmc)for a class of dc-dc converters such as boost and buck converters. firstly, the control lawis designed with respect to the properties of fractional calculus, the design yields an equiv-alent control term with an addition of discontinuous (attractive) control law. secondly, themathematical proof of the stabilit...

in this paper a control system has been designed to improve traffic conditions in car following maneuver. there are different methods to design a control system. in this paper design approach is based on the fuzzy sliding mode control (fsmc) system. the aim of designing fsmc system is to achieve safe and desire longitudinal distance and less lateral displacement. in order to control and obtain ...

Presented is a method of smooth sliding mode control design to provide for an asymptotic second-order sliding mode on the selected sliding surface. The control law is a nonlinear dynamic feedback that in absence of unknown disturbances provides for an asymptotic second-order sliding mode. Application of the second-order disturbance observer in a combination with the proposed continuous control ...

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...