In recent years, air pollution control has caused great concern. This paper focuses on the primary pollutant SO2 in the atmosphere for analysis and control. Two indicators are introduced, which are the concentration of SO2 in the emissions (PSO2) and the concentration of SO2 in the atmosphere (ASO2). If the ASO2 is higher than the certain threshold, then this shows that the air is polluted. According to the uncertainty of the air pollution control systems model,
The main feature of the
So the
The standard
The diagram of the standard
It is supposed that
The problem of
We assume that the state-space representation of the generalized controlled object
Consider that
which satisfies the following conditions:
Obviously,
As the result, we can obtain Theorem
If and only if
If Hamilton matrix
Substituting (
Form (
Hence,
Atmospheric quality management is essentially the process of the analysis and synthesis to the air pollution control system. So-called atmospheric system analysis is qualitative and quantitative research for an atmospheric area system or facilities system, which include that to evaluate the current situation, to find out the main environment problems, to put a series of optional target projects, and to establish the quantitative relation between emission and the quality of the permissive atmosphere [
Usually, the atmosphere has certain self-purification ability; namely, the atmospheric environment has a certain capacity. It refers to the permissible pollutant emissions within the natural purification capacity, which reach the limiting quantity in order not to destruct the nature material circulation [
In this paper, the objective of applying the
In recent years, air pollution control has caused great concern. This paper focuses on primary pollutant SO2 in the atmosphere for analysis and control, which is mainly pollutant of the PM2.5. We introduced two indicators, which are the concentration of SO2 in the emissions (PSO2) and the concentration of SO2 in the atmosphere (ASO2). Meanwhile, we can change the content of SO2 in the emissions (with the method of improving the methods of processing), with the aim of returning atmospheric quality back to the desired value.
A certain volume of air mainly accepted the controlled pollutants which discharged from certain purification equipments. In addition, considering that the atmospheric self-purification ability is mainly affected by wind and other meteorological factors, a certain volume of air can be defined as atmospheric section. Thus, we can put forward a second order state-space equation; it describes the relationship between PSO2 and ASO2 on an average point of the atmospheric section [
The stirred reactor model of an ideal atmosphere section.
PSO2 balance equation:
ASO2 balance equation:
From [
Thus, the mathematical model of Section
In this paper, the simulation object is two sections of the
Using the MATLAB to simulate [
It could be seen from Figure
The system step response.
The original closed-loop system
The closed-loop system with
In this paper, the
This work was supported by National Natural Science Foundation of China (Grants nos. 61104062, 61374085, and 61174077), Jiangsu Qing Lan Project, and PAPD.