This paper proposes an approach to active fault tolerant control (AFTC) of a variable-speed wind turbine subject to actuator faults. The actuator faults in the turbine pitch system and generator system are considered in this work. Takagi-Sugeno (T-S) fuzzy modeling of the combined driver train, pitch and generator systems is proposed to account for nonlinearities in the dynamics. Moving horizon...

Some Definitions and Notations. In this section α : [0, L] → R will denote a curve in R that is parametrized by arclength and is of class C, k ≥ 2. We recall that the unit tangent to α at s is defined by −→t (s) := α′(s). (That it is a unit vector is just the definition of α being parametrized by arclength.) The curvature of α is the non-negative real-valued function k : [0, L] → R defined by k...

X-ray analysis of Na2KSb a photoemissive material discovered by Sommer has led to the determination of its crystal structure. The unit cell is described by the space group Fm3m-01l5 with four antimony atoms at (0,0,0; O,t,!; t,O,t; t,t,O) + 0,0,0; four potassium atoms at ( ) + t,t,! and eight sodium atoms at ( ) + t,t,t and t,t,t. The crystal structure of Na2KSb has a great resemblance to that ...

New upper bounds are given for the maximum number, 7m , of nonoverlapping unit spheres that can touch a unit sphere in n-dimensional Euclidean space, for n < 24. In particular it is shown that 78 = 240 and ~~~ = 196560. The problem of finding the maximum number, 7S , of billiard balls that can touch another billiard ball has a long and fascinating history (see [2]); the answer is known to be 12...

For the construction of an interpolatory integration rule on the unit circle T with n nodes by means of the Laurent polynomials as basis functions for the approximation, we have at our disposal two nonnegative integers pn and qn, pn + qn = n − 1, which determine the subspace of basis functions. The quadrature rule will integrate correctly any function from this subspace. In this paper upper bou...

Let F be a family of convex figures in the plane. We say that F has property T if there exist a line intersecting every member of F . Also, we say that the family F has property T (k) if every k−membered subfamily of F has property T . In this talk we will give some results concerning families of translates of the unit disc which have property T (3) or T (4).

The implementation of quantum computing processors for scientific applications includes floating points circuits arithmetic operations. This work adopts the standard division algorithms floating-point numbers with restoring, non-restoring, and Goldschmidt single-precision inputs. design proposals are carried out while using Clifford+T gates set, resource estimates in terms qubits, T-count, T-de...

τ :−∞ x(τ)h(t− τ)dτ = x(t) = y(t) Note that i. Linearity justifies superposition principle; ii. Time-Invariance justifies the system’s response to δ(t − n∆τ) is h(t− n∆τ). iii. For time-varying systems, the system response to δ(t − n∆τ) becomes h(t, n∆τ), and y(t) = ∫ ∞ τ :−∞ x(τ)h(t, τ)dτ , where h(t, τ) is the system response at instant t to a unit impulse input located at τ . 3. [Convolution...

VPI-5 and AIPO,-H2 are constructed from t h e same type of chain building uni t which contains octahedral Al atoms (coordinated with four framework oxygens and two water molecules). The bonded water molecules are believed to stabilize the cha in building unit and play an important role in the crystallization of these materials. This chain building unit limits the possibilities of incorporating ...