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Transcribers Name: Crescendo Transcriptions Pvt. Ltd. Process Control - Design, Analysis and Assessment Professor Raghunathan Rengaswamy Department of Chemical Engineering Indian Institute of Technology, Madras Controller Equations We will continue our 13th lecture in this course. Till now we have looked at some basic terminology in control, talked about how you model a physical system. So when we model a physical system, we talked about writing conservation equations and constitute of relationships. The conservation equations can be written for mass, energy, momentum and so on. Till now we have focused largely on mass conservation equations. We will also have the other types of conservation equations and how you model such systems in some assignments that you work with. So we saw that a physical system can be modeled using in general ordinary differential equations for this course but just keep in mind that there are other types of model equations that come out when you do this exer

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What is control equation?

The control systems can be represented with a set of mathematical equations known as mathematical model. These models are useful for analysis and design of control systems. Analysis of control system means finding the output when we know the input and mathematical model.

Who is the father of control theory?

Irmgard Flugge-Lotz developed the theory of discontinuous automatic control and applied it to automatic aircraft control systems.

What is control systems theory in psychology?

Control theories are defined by a continuous feedback loop that functions to assess and respond to discrepancies from a desired state (Carver Scheier, 2001).

Is control theory a dying subject?

No. Its a useful adjunct to control theory in some ways, but control theory lets you prove without a doubt what the behaviour of the system will be.

What is the equation control theory?

Control theory refers to the eigenvalues as the poles of the system. From this equation and the matching picture in Fig. 2.1, we may write Y(s)=U(s)P(s). In words, the output signal, Y(s), is the input signal, U(s), multiplied by the transformation of the signal by the process, P(s).

What is differential equation in control system?

Differential equation model is a time domain mathematical model of control systems. Follow these steps for differential equation model. Apply basic laws to the given control system. Get the differential equation in terms of input and output by eliminating the intermediate variable(s).

What is control theory used for?

Control theory is a branch of Applied Mathematics dealing with the use of feedback to influence the behaviour of a system in order to achieve a desired goal.

What is state equation formula in control system?

State Space representation of electrical system: Therefore iL(0) and Vc(0) is called the initial state of the network and the pair iL(t), Vc(t) is called the state of the network at t. The variable iL and vc are called the state variables of the network. This type of equation is called State equation.

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