Module 2 Transfer Function and Block Diagram Algebra (4 hours)
Module 2 Transfer Function and Block Diagram Algebra (4 hours)
2. I Modeling of physical systems Model of system the relationship between variables in system Differential Equation(mathematic model) (parameter model) Block Diagram and Transfer Function(parameter model) Response Curve(non parameter model)
2.1 Modeling of physical systems Model of system – the relationship between variables in system • Differential Equation (mathematic model) (parameter model) • Block Diagram and Transfer Function (parameter model) • Response Curve (non parameter model)
2. 1. 1 Why do we must study the model of control system? An accurate mathematic model that describes a system completely must be determined in order to analyze and control a dynamic system
2.1.1 Why do we must study the model of control system? ________ An accurate mathematic model that describes a system completely must be determined in order to analyze and control a dynamic system
2. 1.2 The Steps of Analyzing and Studying a dynamic System Define the system and its components Formulate the mathematic model and list the necessary assumptions Write the differential equations describing the model Solve the equations for the desired output variables Examine the solutions and the assumptions necessary, reanalyze or redesign n the system
2.1.2 The Steps of Analyzing and Studying a Dynamic System • Define the system and its components. • Formulate the mathematic model and list the necessary assumptions. • Write the differential equations describing the model. • Solve the equations for the desired output variables. • Examine the solutions and the assumptions. • If necessary, reanalyze or redesign the system
2.1.3 The Block Diagram Model which consists of block, arrow Differencing junction and pickoff point Differencing junction Forward path Input Error CONTROLLER Control PLANT Sign Measured output TRANSDUCER Pickoff point Feedback path Fig. 1. 3 Generalized feedback control system
2.1.3 The Block Diagram Model – which consists of block, arrow, Differencing junction and pickoff point. Pickoff point