What is mathematical modeling in Simulink?
Simulink enables scientists and engineers to describe dynamic systems in mathematical form. This process is called modeling or designing. You also can simulate such mathematical models in Simulink. In this chapter, we'll discuss what we mean by using the term
dynamic system and the benefits that Simulink provides. We also will make an overview of all the topics that will be discussed in this video course.
What is a dynamic system in Simulink?
A dynamic system is any process that moves or changes in time. Scientists describe dynamic systems as mathematical models with time dependent relationships between the system's inputs, internal states with well-known initial conditions and outputs.
What is a state transition rule in Simulink?
The evolution rule also called the state transition rule of the dynamic system is a fixed rule that describes what future states follow from the current state. The rule is deterministic, which means that for a given time interval, only one future state follows from the current state. Such evolution rules are described by differential equation for continuous systems and difference equation for discrete systems based on inputs, states, and time variables.
How does Simulink solve the system equations?
Solving the system requires iterating the calculation advancing in small time intervals. Over and over again. Dynamic systems occur in every branch of our life. Examples include the mathematical models of thermal flow in different materials, swinging pendulum, chemical reactions, airflow in the pipe, planet motions, stock markets, or weather.
What type of a system will be solved in this Simulink training?
In our Simulink course we will discuss the thermodynamic system of a room, which will have a state (which is the room temperature); and inputs: free heat flow, heater flow, and ambient temperature. We also will discuss other parts of a thermodynamic system, which includes a sensor, for the measurement of temperature state and the temperature controller.
So here are all the parts of the system that we will develop in Simulink: sensor and transmitter, actuator (which is the heater), temperature controller, and external inputs. Simulink enables modeling, simulating and analyzing dynamic systems. Simulink provides a graphical modeling editor for creating a block diagram of time dependent mathematical relationships of systems, inputs, states, and outputs. Also referred to as a model.
Why is Simulink so popular for function development?
Simulink is well integrated in MATLAB, which helps us testing the models and analyzing and plotting the outputs. Simulink provides discrete and continuous solvers, advanced test and verification support. And the models developed in Simulink support automatic C code generation for production.
What will be the work products of this training?
Here is the model that we will have developed at the end of our training course, which includes an algebraic system, a logical system, a discrete system. We will build a library, we'll build two continuous systems and talk about differential equations and how you model them in Simulink. And we will test and integrate everything. So you will be able to develop complete systems and become an advanced user in Simulink.
Please note: this is a short transcript of the training video above.