EE3114 Lab Report
EE3114
Systems and Control
Semester B 03/04
Formal Report
Experiment 1 - System Dynamics and Behavior
Electronic Engineering
Electronic and Communication Engineering
EE3114 Systems and Control
Experiement 1
Title:
System Dynamics and Behavior
Objectives:
Dynamic systems like dc-servomotors, financial systems, logistic models, internet systems and eco-systems can be described by a set of coupled differential equations. Based on this model, one can study the behavior of such a system under various external factors such as initial conditions, variables’ interrelation changes, stead state responses and stability issues. In this experiment, a simple Loika-Volterra type model was chosen to demonstrate these behaviors. The concept of state trajectory, limit cycles and stability will be introduced.
Introduction:
There is a trophic level controls the dynamics of another trophic level is central to ecology. Energy flows between trophic levels. The input of energy to a higher trophic level population from a lower trophic level population can be controlled by the amount of energy available in the lower level, or by the amount of energy the higher trophic level is able to consume. Or we take into consideration such factors as the “natural" growth rate and the "carrying capacity" of the environment in the dynamics of a single population. Mathematical ecology requires the study of populations that interact, thereby affecting each other's growth rates.
In this module we study a very special case of such an interaction, in which there are exactly two species, one of which -- the predators -- eats the other -- the prey.
In this experiment, we will assume unrealistic case in these predator-prey situations.
1. The predator species (fox) is totally dependent on a single prey species(rabbit) as its only food supply,
2. There is no threat to the prey other than the specific predator.
2. The model
A simple fox-rabbit
Systems and Control
Semester B 03/04
Formal Report
Experiment 1 - System Dynamics and Behavior
Electronic Engineering
Electronic and Communication Engineering
EE3114 Systems and Control
Experiement 1
Title:
System Dynamics and Behavior
Objectives:
Dynamic systems like dc-servomotors, financial systems, logistic models, internet systems and eco-systems can be described by a set of coupled differential equations. Based on this model, one can study the behavior of such a system under various external factors such as initial conditions, variables’ interrelation changes, stead state responses and stability issues. In this experiment, a simple Loika-Volterra type model was chosen to demonstrate these behaviors. The concept of state trajectory, limit cycles and stability will be introduced.
Introduction:
There is a trophic level controls the dynamics of another trophic level is central to ecology. Energy flows between trophic levels. The input of energy to a higher trophic level population from a lower trophic level population can be controlled by the amount of energy available in the lower level, or by the amount of energy the higher trophic level is able to consume. Or we take into consideration such factors as the “natural" growth rate and the "carrying capacity" of the environment in the dynamics of a single population. Mathematical ecology requires the study of populations that interact, thereby affecting each other's growth rates.
In this module we study a very special case of such an interaction, in which there are exactly two species, one of which -- the predators -- eats the other -- the prey.
In this experiment, we will assume unrealistic case in these predator-prey situations.
1. The predator species (fox) is totally dependent on a single prey species(rabbit) as its only food supply,
2. There is no threat to the prey other than the specific predator.
2. The model
A simple fox-rabbit