Modern Control Theory

Abstract

Originally this word “cybernetics” came from the Ancient Greece, and it meant “the art of steersman”. Cybernetics is the “old-fashion” term for what is now called as the general system’s theory, or the system science. We can admit that cybernetics was born in 1948, when the book with the same title has been written by the famous American mathematician Norbert Wiener (1894-1964) [1]. The dictionary of mathematics describes cybernetics as “the branch of science concerned with control systems... In a series of operations, information gained at one stage can be used to modify later performances of that operation. This is known as feedback and enables a control system to check and possibly adjust its actions when required” [2]. Practically some ideas of control were realized intuitively much more before of their precise mathematical formulations. The common example is Watt’s regulator – a typical control mechanical system. In [3] control theory is defined as “the mathematical study of how to manipulate the parameters affecting the behavior of a system to produce the desired or optimal outcome”. Even from these short definitions we can conclude, that such terms as controlled dynamic system, its state, desired outcome (also goal of the control in the modern