^{1}

^{2}

^{3}

^{1}

^{2}

^{3}

In recent years, air pollution control has caused great concern. This paper focuses on the primary pollutant SO_{2} in the atmosphere for analysis and control. Two indicators are introduced, which are the concentration of SO_{2} in the emissions (PSO_{2}) and the concentration of SO_{2} in the atmosphere (ASO_{2}). If the ASO_{2} 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, _{2} with the method of improving the level of pollution processing or decreasing the emissions, so that air pollution system can maintain robust stability and the indicators ASO_{2} are always operated within the desired target.

The main feature of the

So the _{2}, so that air pollution system can maintain robust stability and the indicators ASO_{2} are always operated within the desired target.

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 SO_{2} in the atmosphere for analysis and control, which is mainly pollutant of the PM2.5. We introduced two indicators, which are the concentration of SO_{2} in the emissions (PSO_{2}) and the concentration of SO_{2} in the atmosphere (ASO_{2}). Meanwhile, we can change the content of SO_{2} 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 PSO_{2} and ASO_{2} on an average point of the atmospheric section [_{2} and ASO_{2} is equal to the counterpart concentration in this section. Hence, from the point of view of the mass balance, we can get the following equation.

The stirred reactor model of an ideal atmosphere section.

PSO_{2} balance equation:

ASO_{2} balance equation:
_{2} of Section ^{3}), ^{3}); _{2} gas flow rate of Section ^{3}/d), _{2} of Section ^{3}), _{2} of Section _{2} of Section ^{3}/d), and _{2} of Section ^{3}).

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.