To optimize output streams in mechanical waste treatment plants dynamic particle size control is a promising approach. In addition to relevant actuators – such as an adjustable shredder gap width this also requires technology for online and real-time measurements of the distribution. The paper at hand presents model MATLAB® which extracts information about several geometric descriptors diameters, lengths, areas, shape factors from 2D images individual particles taken by RGB cameras...

A prototype of a cheap IoT system for real-time monitoring river water quality has been developed. The consists stations and appropriate presentation devices (computer, phone, or similar). Each station possibility measurement 4 parameters: temperature, pH, turbidity, dissolved oxygen. They are measured through probes submerged directly in the water. connected to Raspberry Pi 3 model B, wi-fi communication, data transferred storage cloud then visualization platform. collected is calculated...

This paper introduces a new approach to measure relative positioning and orientation (RPO), by instrumenting mobile equipment with ultra-wideband (UWB) distance measurements. In this experiment RPO is tested without surrounding stationary UWB anchor network; all necessary devices are directly mounted on the machinery. results in simplified implementation industry, but also challenges determination. Due this, precision uncertainty of measurements were characterized real application...

This paper presents a new derivation and implementation of the method variable projection for estimation parameters sine wave model. The approach yields insights into cost function associated with model how this behaves when there is less than one cycle signal in measurement period. Additionally, delivers covariance matrix linear parameters; permitting computations prediction confidence intervals approximation. thoroughly tested using Monte Carlo simulations results compared those obtained by Chen.

The current paper presents a new computational approach to detect wear and damage milling tools' cutting edges. proposed is independent from exact information on tool-workpiece interaction conditions only requires that they remain constant for compared operations. Additionally, the was thoroughly tested time-series data obtained an industrial-scale process, instrumented by commercially available instrumentation equipment, during which 18 identical parts were milled. contains bending moments...

Ahstract- This paper presents a new architecture for unsupervised hybrid machine learning, called Rayleigh-Ritz Autoen- coder (RRAE). It is suitable applications in instrumentation and measurement where the system being observed by multiple sensors well modeled as boundary value problem. The embedding of admissible functions decoder implements truly physics-informed learning architecture. RRAE provides an exact fulfillment Neumann, Cauchy, Dirichlet, or periodic constraints. Only encoder...

This paper presents a new combination of instru-mentation and signal processing to detect wear damage precision milling tools. It permits the detection during cutting process. The exact determination spindle frequency from power spectral density forces, mapping data rotating form tool. In this manner, polar statistics can be calculated over revolutions tool; revealing proportion being performed by each flute. Furthermore, area enclosed loops in coordinates is proportional work that period....

This paper describes a new approach for solving an optimal control problem numerically stiff system. The objective is to move load from its initial states final in way. was achieved by means of Lagrange multipliers. resulting Euler-Lagrange equations lead system differential equations, which solved using mass matrix method and discretized interstitial derivatives obtain stable solution. In addition, the performance compared with both LQR PID controllers. As result, it can be seen example...

This paper presents a new algorithm for the automatic synthesis of admissible functions, which fulfill generalized derivative constraints. The goal is to establish generic approach hybrid machine learning based on calculus variations. permits embedding a-priori knowledge into solutions involving measurement data. optimized be compatible with single precision as used most GPUs. supports simple use common GPUs accelerate computations. uses two-step synthesizing subspace ensuring exact...

This paper presents a new approach to separate signal into its periodic and aperiodic components; whereby, the exact frequency of component is unknown. In other words, it shown how determine underlying trend perturbed simultaneously identify shape perturbation. Therefore modeled by nonlinear design matrix containing basis functions, which depend on unknown frequency, more precisely discrete orthogonal polynomials (DOP). The least squares problem computing model coefficients solved method...

This paper presents a convolutional method for the calculation of measure C-n discontinuities at interstitial points. can be used to determine locations where observational data is discontinuous in n-th derivative. achieved by calculating Taylor coefficients from left and right each point. The constrained ensure continuity model up degree n-l, while yielding an estimate discontinuity These constrains, together with symmetric support length uniform spacing data, special block structure...

This paper generalizes and extends the theory of approximating measurement data with constrained basis functions. The new method is particularly well suited for modelling sensor in cyber-physical systems, where physics system being monitored needs to be embedded. extension includes both co-located interstitial constraints. complete derivation all required equations presented a matrix algebraic framework. approach enables reconstruction curves lower statistical uncertainty from fewer points....

This paper presents a real-time parameter identification algorithm for periodic signals, based on the recursive variable projection (RVP) algorithm. The implementation enables tracking of time-varying parameters. signal model is linear with respect to amplitude parameters while being nonlinear phase and frequency. feature motivates use approach. Its performance tested using Monte Carlo simulations results are compared those obtained by multiobjective Gauss-Newton (MGN) Furthermore, RVP...

This paper presents a new approach for solving an optimal control problem in hydraulic system, using variational calculus method. It uses path tracking method of two different states with units and magnitude. To ensure the uniqueness solution, regularization terms were introduced, whose influence is regulated by parameters. The system differential equations, obtained from Euler-Lagrange equations problem, was solved mass matrix discretized linear operators at interstitial points numerical...

This paper presents a new method for modelling periodic signals having an aperiodic trend, using the of variable projection. It extends commonly used four parameter sine wave model by permitting background to be time varying; additionally, any number harmonics portion can modelled. focuses on B-Splines implement piecewise polynomial signal. A thorough algebraic derivation is presented, as well comparison global approximation. proven that work better more complicated when compared higher...

This paper presents a new approach to the detection of discontinuities in n-th derivative observational data. is achieved by performing two polynomial approximations at each interstitial point. The polynomials are coupled constraining their coefficients ensure continuity model up (n-1)-th derivative; while yielding an estimate for discontinuity derivative. correspond directly derivatives points through prudent selection common coordinate system. approximation residual and extrapolation...

This paper presents a new method for modelling periodic signals having an aperiodic trend, using the of variable projection. It is major extension to IEEE-standard 1057 by permitting background be time varying; additionally, any number harmonics portion can modelled. focuses on B-Splines implement piecewise polynomial model signal. A thorough algebraic derivation presented, as well comparison global approximation. proven that work better more complicated when compared higher order...