System and Method for Controlling Operations of Air-Conditioning System

A method for controlling an operation of an air-conditioning system generating airflow in a conditioned environment, wherein the method uses a processor coupled with stored instructions implementing the method, wherein the instructions, when executed by the processor carry out steps of the method, comprising:

• measuring the airflow at a set of points in the conditioned environment;
• retrieving a model of the airflow dynamics including a combination of a first term transitioning a previous state of the airflow to a current state of the airflow and a second term assisting the transitioning, wherein the first term includes a projection of a physical model of the airflow on a finite-dimensional space, wherein the physical model of the airflow includes physical parameters of the conditioned environment and the projection preserves the physical parameters of the conditioned environment in the first term, wherein a value of at least one physical parameter is uncertain with a bounded uncertainty defining a range of the bounded uncertainty, and wherein the second term includes a function of the range of the bounded uncertainty, a negative gain, and an observation error between the measurements of the airflow in the set of points and estimations of the airflow in the set of points according to the model of the airflow;
• estimating the current state of the airflow in the conditioned environment by transitioning the previous state of the airflow forward in time according to the model of airflow dynamics to reduce the observation error in the current state of the airflow;
• and
• controlling the air-conditioning system based on the current state of the airflow.

A non-transitory computer readable storage medium embodied thereon a program executable by a processor for performing a method, the method comprising:

• measuring the airflow at a set of points in the conditioned environment;
• retrieving a model of the airflow dynamics including a combination of a first term transitioning a previous state of the airflow to a current state of the airflow and a second term assisting the transitioning, wherein the first term includes a projection of a physical model of the airflow on a finite-dimensional space, wherein the physical model of the airflow includes physical parameters of the conditioned environment and the projection preserves the physical parameters of the conditioned environment in the first term, wherein a value of at least one physical parameter is uncertain with a bounded uncertainty defining a range of the bounded uncertainty, and wherein the second term includes a function of the range of the bounded uncertainty, a negative gain, and an observation error between the measurements of the airflow in the set of points and estimations of the airflow in the set of points according to the model of the airflow;
• estimating the current state of the airflow in the conditioned environment by transitioning the previous state of the airflow forward in time according to the model of airflow dynamics to reduce the observation error in the current state of the airflow;
• and
• controlling the air-conditioning system based on the current state of the airflow.