As the general theory of feedback systems, control theory is useful wherever feedback occurs - thus control theory also has applications in life sciences, computer engineering, sociology and operations research. Īlthough a major application of mathematical control theory is in control systems engineering, which deals with the design of process control systems for industry, other applications range far beyond this. Control theory was further advanced by Edward Routh in 1874, Charles Sturm and in 1895, Adolf Hurwitz, who all contributed to the establishment of control stability criteria and from 1922 onwards, the development of PID control theory by Nicolas Minorsky. In it the transfer function, also known as the system function or network function, is a mathematical model of the relation between the input and output based on the differential equations describing the system.Ĭontrol theory dates from the 19th century, when the theoretical basis for the operation of governors was first described by James Clerk Maxwell. Control theory is used in control system engineering to design automation that have revolutionized manufacturing, aircraft, communications and other industries, and created new fields such as robotics.Įxtensive use is usually made of a diagrammatic style known as the block diagram. Other aspects which are also studied are controllability and observability. The difference between actual and desired value of the process variable, called the error signal, or SP-PV error, is applied as feedback to generate a control action to bring the controlled process variable to the same value as the set point. This controller monitors the controlled process variable (PV), and compares it with the reference or set point (SP). To do this, a controller with the requisite corrective behavior is required. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any delay, overshoot, or steady-state error and ensuring a level of control stability often with the aim to achieve a degree of optimality. ( Discuss) Proposed since March 2023.Ĭontrol theory is a field of control engineering and applied mathematics that deals with the control of dynamical systems in engineered processes and machines. Your time and consideration are greatly appreciated.It has been suggested that Classical control theory be merged into this article. So, if you can, after enabling javascript, clearing the cache and disabling extensions, please open your browser's javascript console, load the page above, and if this generates any messages (particularly errors or warnings) on the console, then please make a copy (text or screenshot) of those messages and send them with the above-listed information to the email address given below.īy sending us information you will be helping not only yourself, but others who may be having similar problems accessing the online edition of The Feynman Lectures on Physics. This type of problem is rare, and there's a good chance it can be fixed if we have some clues about the cause. which operating system you are using (including version #).which browser you are using (including version #).If it does not open, or only shows you this message again, then please let us know: So, please try the following: make sure javascript is enabled, clear your browser cache (at least of files from ), turn off your browser extensions, and open this page: If you use an ad blocker it may be preventing our pages from downloading necessary resources. If you have have visited this website previously it's possible you may have a mixture of incompatible files (.js. In order to read the online edition of The Feynman Lectures on Physics, javascript must be supported by your browser and enabled. There are several reasons you might be seeing this page.
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