This paper presents a method for controller synthesis in the bond graph domain. A dynamic feedback linearization and decoupling controller of rotor speed and rotor-flux amplitude of a current-fed induction motor is derived on the basis of a flatness analysis entirely conducted on a two-input nonlinear bond graph model of the motor. Once the rotor speed has been found as the first flat output, a...

In this article, the boundary value method is applied to solve three dimensional elliptic and hyperbolic partial differential equations. The partial derivatives with respect to two of the spatial variables (y, z) are discretized using finite difference approximations to obtain a large system of ordinary differential equations (ODEs) in the third spatial variable (x). Using interpolation and col...

A rigorous Path Integral construction for a wide class of Weyl evolution operators is based on a pseudo-differential Ω-calculus on flat phase spaces of finite and infinite dimensions.

Abstract. In this paper we establish a gap phenomenon for immersed surfaces with arbitrary codimension, topology and boundaries that satisfy one of a family of systems of fourth-order anisotropic geometric partial differential equations. Examples include Willmore surfaces, stationary solitons for the surface diffusion flow, and biharmonic immersed surfaces in the sense of Chen. On the boundary ...

Wireless Sensor Networks is important to node’s energy consumption for long activity of sensor nodes because nodes that compose sensor network are small size, and battery capacity is limited. For energy consumption decrease of sensor nodes, sensor network’s routing technique is divided by flat routing and hierarchical routing technique. Specially, hierarchical routing technique is energy-effici...

This paper considers a new method for building-extraction from LiDAR data. This method uses multi-scale levelling schema or MSLS-segmentation based on differential morphological profiles for removing non-building points from LiDAR data during the data denoising step. A new morphological algorithm is proposed for the detection of flat regions and obtaining a set of building-candidates. This bina...

This paper introduces the concept of equivalent channel for mutual information performance analysis of multiplesymbol differential MPSK (M -phase shift keying) over timecorrelated, time-varying flat-fading communication channels. It is proven that differential detection scheme theoretically preserves the channel information capacity when the observation interval approaches infinity. A state spa...

We introduce flat systems, which are equivalent to linear ones via a special type of feedback called endogenous. Their physical properties are subsumed by a linearizing output and they might be regarded as providing another nonlinear extension of Kalman’s controllability. The distance to flatness is measured by a non-negative integer, the defect. We utilize differential algebra which suits well...

In this article the applications of differential flatness to some industrial systems are presented. Computational methods of obtaining the flat output and the straight forward method of constructing the corresponding control law are given. Some theoretical and industrial systems are used as illustration including the third order synchronous machine model and the one degree of freedom magnetic l...

in this paper, non-polynomial spline method for solving coupled burgers’ equations are presented. we take a new spline function. the stability analysis using von-neumann technique shows the scheme is unconditionally stable. to test accuracy the error norms2l, ∞l are computed and give two examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equatio...