The Itô stochasticity of the wind speed is attributed to the Markov modeling of atmospheric turbulence. Note that the Itô process is a strong Markov process. That is described by the standard and formal Itô stochastic differential equation. After accounting for stochasticity in the wind speed, the wind turbine-generator system becomes a stochastic system. The evolution equation of the induction machine encompasses a system of three first-order differential equations coupled with two algebraic equations. In power systems dynamics and control literature, theoretical and practical aspects of the wind turbine-generator system have received considerable attentions. In addition, examples are given from the fields of mechanical systems, medically induced anesthesia, neuroprosthetics and water level control, showcasing the use of controllers that satisfy certain design specifications. Analysis of transfer function models is carried out though multiple examples in Matlab and Simulink, analyzing the dynamics of 1st and 2nd order systems, the role of the poles and zeros in the system's dynamic response, the effects of delay and the possibility to approximate higher order systems by lower order ones. The present work provides an introduction to the fundamental principles of control system's analysis and design through the programming environment of Matlab and Simulink. Control systems are systems that are designed to operate under strict specifications, to satisfy certain aims, like safety regulations in the industry, optimal production of goods, disturbance rejection in vehicles, smooth movement and placement of objects in warehousing, regulation of drug administration in medical operations, level control in chemical processes and many more. Control systems theory is a wide area covering a range of artificial and physical phenomena.
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