This article presents the design of super twisting sliding mode control (STSMC) based on radial basis function neural network (RBFNN) for path tracking two link robot manipulator. The proposed controller is utilized to guarantee and achieve that surface can be in equilibrium point within a short time avoid problem chattering at output. Lyapunov theory used presenting new convergence proof. Also...

To solve the problem of PI control cannot achieve satisfactory dynamic performance under complex operating conditions, an improved model-free continuous super-twisting non-singular fast terminal sliding mode (NFTSM) algorithm (IMFSTNFTSMC) for IPMSM based on extended higher-order disturbance observer (IESMDO) is proposed. Firstly, speed-current hyperlocal models are developed; Then, controllers...

In most industrial processes that use electrical energy as a source of tension or current, requiring a power circuit to control of these physical states.This paper deals with observability problems of the parallel multi-cell chopper. This type of choppers is a new DC/DC static power converter. After modeling of the power converter, its hybrid dynamical behavior and properties are highlighted. T...

Resumen—A second order sliding mode controller, the so-called “Twisting” algorithm is under study. A non-smooth strict Lyapunov function is proposed, so global finite time stability for this algorithm can be proved, even in the case when it is affected by bounded external perturbations. The strict Lyapunov function gives the possibility to estimate an upper bound for the time convergence of the...

1. Introduction. In [5] Mazur constructed a homotopy 4-sphere which looked like one of the strongest candidates for a counterexample to the 4-dimensional Poincaré Conjecture. In this paper we show that Mazur's example is in fact a true 4-sphere after all. This raises the odds in favour of the 4-dimensional Poincaré Conjecture. The proof involves a smooth knot of S2 in S4 with unusual properties.

We generalize graded Hecke algebras to include a twisting twococycle for the associated finite group. We give examples where the parameter spaces of the resulting twisted graded Hecke algebras are larger than that of the graded Hecke algebras. We prove that twisted graded Hecke algebras are particular types of deformations of a crossed product.

This article presents a super twisting sliding-mode control (ST-SMC) for single-phase dynamic voltage restorers (DVRs). Unlike the conventional first-order controller, proposed ST-SMC technique eliminates need differentiating compensation in sliding surface function while keeping merits of SMC. As consequence employing ST-SMC, continuous signal is achieved from which pulsewidth modulation (PWM)...

The majority of marine current conversion technologies are based on permanent magnet synchronous generators (PMSG) due to its numerous advantages such as high-power density, low cost, and favorable electricity production. However, nonlinear properties the generator parameter uncertainties, makes controller design more than a simple challenge. This paper proposes new adaptive passivity-based (PB...