Transcription of Mathematical Modeling of Control Systems
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Mathematical Modeling of Control Systems
213 Mathematical Modeling of Control Systems2 1 INTRODUCTIONIn studying Control Systems the reader must be able to model dynamic Systems in math - ematical terms and analyze their dynamic characteristics. A Mathematical model of a dy-namic system is defined as a set of equations that represents the dynamics of the systemaccurately, or at least fairly well. Note that a Mathematical model is not unique to agiven system . A system may be represented in many different ways and, therefore, mayhave many Mathematical models, depending on one s dynamics of many Systems , whether they are mechanical, electrical, thermal,economic, biological, and so on, may be described in terms of differential differential equations may be obtained by using physical laws governing a partic-ular system for example, Newton s laws for mechanical Systems and Kirchhoff s lawsfor electrical Systems .
Mathematical Modeling of Control Systems 2–1 INTRODUCTION In studying control systems the reader must be able to model dynamic systems in math-ematical terms and analyze their dynamic characteristics.A mathematical model of a dy-namic system is defined as a set of equations that represents the dynamics of the system
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