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FIGURE 1.3  Watt’s flyball governor. (From Modern Control Systems, 9th ed., R. C. Dorf and R. H. Bishop, Prentice-
                                 Hall, 2001. Used with permission.)

                                 of  a steam engine [10]. Employing a measurement of  the speed of  the output shaft and utilizing the
                                 motion of the flyball to control the valve, the amount of steam entering the engine is controlled. As the
                                 speed of the engine increases, the metal spheres on the governor apparatus rise and extend away from
                                 the shaft axis, thereby closing the valve. This is an example of a feedback control system where the
                                 feedback signal and the control actuation are completely coupled in the mechanical hardware.
                                   These early successful automation developments were achieved through intuition, application of practical
                                 skills, and persistence. The next step in the evolution of automation required a theory of automatic control.
                                 The precursor to the numerically controlled (NC) machines for automated manufacturing (to be developed
                                 in the 1950s and 60s at MIT) appeared in the early 1800s with the invention of feed-forward control of
                                 weaving looms by Joseph Jacquard of France. In the late 1800s, the subject now known as control theory
                                 was initiated by J. C. Maxwell through analysis of the set of differential equations describing the flyball
                                 governor [11]. Maxwell investigated the effect various system parameters had on the system performance.
                                 At about the same time, Vyshnegradskii formulated a mathematical theory of regulators [12]. In the 1830s,
                                 Michael Faraday described the law of induction that would form the basis of the electric motor and the
                                 electric dynamo. Subsequently, in the late 1880s, Nikola Tesla invented the alternating-current induction
                                 motor. The basic idea of controlling a mechanical system automatically was firmly established by the end
                                 of 1800s. The evolution of automation would accelerate significantly in the twentieth century.
                                   The development of pneumatic control elements in the 1930s matured to a point of finding applications
                                 in the process industries. However, prior to 1940, the design of control systems remained an art generally
                                 characterized by trial-and-error methods. During the 1940s, continued advances in mathematical and
                                 analytical methods solidified the notion of control engineering as an independent engineering discipline.
                                 In the United States, the development of the telephone system and electronic feedback amplifiers spurred
                                 the use of feedback by Bode, Nyquist, and Black at Bell Telephone Laboratories [13–17]. The operation
                                 of the feedback amplifiers was described in the frequency domain and the ensuing design and analysis
                                 practices are now generally classified as “classical control.” During the same time period, control theory
                                 was also developing in Russia and eastern Europe. Mathematicians and applied mechanicians in the
                                 former Soviet Union dominated the field of controls and concentrated on time domain formulations
                                 and differential equation models of systems. Further developments of time domain formulations using
                                 state variable system representations occurred in the 1960s and led to design and analysis practices now
                                 generally classified as “modern control.”
                                   The World War II war effort led to further advances in the theory and practice of automatic control
                                 in an effort to design and construct automatic airplane pilots, gun-positioning systems, radar antenna
                                 control systems, and other military systems. The complexity and expected performance of these military
                                 systems necessitated an extension of the available control techniques and fostered interest in control
                                 systems and the development of new insights and methods. Frequency domain techniques continued to
                                 dominate the field of controls following World War II, with the increased use of the Laplace transform,
                                 and the use of the so-called s-plane methods, such as designing control systems using root locus.

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