Interconnecting Linear Models Feedback Interconnection ContinuousDiscrete conversions 2-24 Discrete dc motor model 2-24 Model Order reduction 2-26 Example: Gasifier Model Analyzing models 3 Introduction 3-2 LTI Viewer 3-4 Example: Time and Frequency Response f the Dc motor Right-Click Menus 3-6 Displaying Response Characteristics on a Plot 3-8 Changing Plot Type 3-11 Showing Multiple Response Types 3-13 Comparing Multiple Models 3-14 Functions for Time and Frequency Response 3-18 Time and Frequency Responses 3-18 Plotting MIMO Model Responses 3-20 Data markers 3-23 Plotting and Comparing Multiple Systems Creating Custom Plots .......3-27 Simulink lti viewer Using the Simulink LTI Viewer 3-30 Comparing Linear and Nonlinear Models Bode plots of linearized models Specifying Operating Conditions 1 Contentsii Contents Interconnecting Linear Models ........................ 2-22 Feedback Interconnection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-23 Continuous/Discrete Conversions ..................... 2-24 Discrete DC Motor Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-24 Model Order Reduction ............................... 2-26 Example: Gasifier Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-26 3 Analyzing Models Introduction .......................................... 3-2 LTI Viewer ........................................... 3-4 Example: Time and Frequency Responses of the DC Motor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-4 Right-Click Menus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-6 Displaying Response Characteristics on a Plot . . . . . . . . . . . . . 3-8 Changing Plot Type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-11 Showing Multiple Response Types . . . . . . . . . . . . . . . . . . . . . . 3-13 Comparing Multiple Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-14 Functions for Time and Frequency Response ........... 3-18 Time and Frequency Responses . . . . . . . . . . . . . . . . . . . . . . . . 3-18 Plotting MIMO Model Responses . . . . . . . . . . . . . . . . . . . . . . . 3-20 Data Markers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-23 Plotting and Comparing Multiple Systems . . . . . . . . . . . . . . . 3-24 Creating Custom Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-27 Simulink LTI Viewer ................................. 3-30 Using the Simulink LTI Viewer . . . . . . . . . . . . . . . . . . . . . . . . 3-30 Comparing Linear and Nonlinear Models . . . . . . . . . . . . . . . . 3-31 Bode Plots of Linearized Models . . . . . . . . . . . . . . . . . . . . . . . . 3-38 Specifying Operating Conditions . . . . . . . . . . . . . . . . . . . . . . . 3-43