Development Of Nonlinear Dynamic Model Research Articles

Development of Nonlinear Dynamic Model of Wall-Climbing Robot BIREM-IV and Application of State Feedback Control

Development of Nonlinear Dynamic Model of Wall-Climbing Robot BIREM-IV and Application of State Feedback Control

Исследование возможности управления процессом ректификации нефти с применением типовых регуляторов

The paper deals with the development of nonlinear dynamic model of the process of rectification of oil using MATLAB. The dynamic model includes a system of mass balance equations, the vapor-liquid equilibrium, heat balance. The task of evaluating the possibility of using controllers tuning methods for nonlinear models. The coefficients of these regulators can be chosen for a particular state of the object. In the transition to other states required quality is not ensured transients. One of the controllable disturbances in the consumption of raw materials is a system. Receiving function of this disturbance through various channels, using the non-linear model of the object. Results approximation controlled perturbations in the system using the method of least squares. Approaches to the management of multidimensional objects: linked control, control using a mathematical model. Methods alternative PID are as follows: application of fuzzy, controllers, adaptive controllers, the structure using genetic algorithms.

Fractal response of physiological signals to stress conditions, environmental changes, and neurodegenerative diseases

AbstractIn the past two decades the biomedical community has witnessed several applications of nonlinear system theory to the analysis of biomedical time series and the development of nonlinear dynamic models. The development of this area of medicine can best be described as nonlinear and fractal physiology. These studies have been intended to develop more reliable methodologies for understanding how biological systems respond to peculiar altered conditions induced by internal stress, environment stress, and/or disease. Herein, we summarize the theory and some of our results showing the fractal dependency on different conditions of physiological signals such as inter‐breath intervals, heart inter‐beat intervals, and human stride intervals. © 2007 Wiley Periodicals, Inc. Complexity 12: 12–17, 2007

Nonlinear discrete-time models: state-space vs. I/O representations

This paper compares state-space and input–output realizations for nonlinear discrete-time dynamic models. For linear models, these two realizations are essentially equivalent and their structures are closely related, but these statements do not hold for nonlinear models. We illustrate this point with simple, realistic examples for which only one of the two realizations exists or for which both exist but their structures are profoundly different. Overall, the main point of this paper is the importance of the choice of realization in the development of nonlinear dynamic models.