Clothoid curve optimization for parallel parking path planning and tracking control

In order to solve the problem of abrupt curvature change at the connection between arcs and straight lines in circle-line-circle (C-L-C) combined parallel parking paths, curvature optimization was carried out by using a cycloid curve, and the trajectory curvature and heading Angle were made to meet the pose requirements of parallel parking. By establishing the kinematics model state equation and taking the optimized C-L-C trajectory as the reference trajectory, the error model was obtained. The model predictive controller based on the error model was designed, and the effectiveness of the path planning and model predictive controller was verified on Carsim and Matlab/Simulink co-simulation platform.

Configural analysis of oscillating progression

Oscillating series of scores can be approximated with locally optimized smoothing functions. In this article, we describe how such series can be approximated with locally estimated (loess) smoothing, and how Configural Frequency Analysis (CFA) can be used to evaluate and interpret results. Loess functions are often hard to describe because they cannot be represented by just one function that has interpretable parameters. In this article, we suggest that specification of the CFA base model be based on the width of the window that is used for local curve optimization, the weight given to data points in the neighborhood of the approximated one, and by the function that is used to locally approximate observed data. CFA types indicate that more cases were found than expected from the local optimization model. CFA antitypes indicate that fewer cases were found. In a real-world data example, the development of Covid-19 diagnoses in France is analyzed for the beginning period of the pandemic.

Optimization of Industrial Complex Power Supply by Means of Renewable Energy Sources

The usage of renewable energy sources and energy storage devices allows an enterprise to reduce its electricity supply costs. Significant savings can be achieved only in the case of a well-organized system of managing energy flows of the enterprise and electricity consumption. The puprpose of the study was to analyze the existing storage devices and renewable energy sources, and on the basis of the analysis, introduce an approach to organizing energy supply of the enterprise based on the usage of storage devices and renewable energy sources. The approach introduced implies the electricity purchase schedule curve optimization to minimize the total costs. The purchase schedule curve optimization for the case of energy storage usage is an ill-posed problem. Within the framework of solving the problem, the form of the curve was formalized to a piecewise constant function, which made it possible to solve it by applying multi-criteria optimization based on a modified method of directed random search. We analyzed a model case, for which an optimal purchase schedule curve was obtained using storage devices and solar panels, and the achievable economic effect from their use was graphed. The maximum value of operational costs, which makes the usage of energy storage and renewable energy source efficient, was found