This paper presents a new algorithm based on Model Reference Adaptive System (MRAS) and its stability analysis for sensorless control of Doubly-Fed Induction Generators (DFIGs). The reference and adjustable models of the suggested observer are based on the active power of the machine. A hysteresis block is used in the structure of the adaptation mechanism, and the stability analysis is performe...

Abstract In this paper, we study a system of nonlinear Riemann–Liouville fractional differential equations with delays. First, define in an appropriate way initial conditions which are deeply connected the derivative used. We introduce generalization practical stability call time. Several sufficient for time obtained using Lyapunov functions and modified Razumikhin technique. Two types derivati...

Systems _ x(t) = F(t; x(t); ") depending on a small parameter " are considered. We introduce a concept of convergence of such a system to a system _ x(t) = G(x(t)). Assuming this convergence, we prove that global asymptotic stability for _ x(t) = G(x(t)) implies some notion of \practical stability" for _ x(t) = F(t; x(t); ") if F(; x; ") satisses a periodicity assumption. We apply this theory t...