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Dynamic System Modeling & Analysis

Learn the fundamentals of dynamic system modeling, analysis, and control in this comprehensive lecture series. Explore mathematical modeling, system dynamics, and design principles to understand and optimize system behaviors.

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Dynamic System Modeling & Analysis

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  1. 動態系統建模分析與控制 Lecture1Introduction to System Dynamics Instructor: Chen-Hsiung Yang Dynamic System Modeling Analysis and Control

  2. Outline 1-1. Introduction 1-2. Mathematical Modeling of Dynamic Systems 1-3. Analysis and Design of Dynamic Systems 1-4. Summary

  3. 1-1. Introduction • Systems • A system is a combination of components acting together to perform a specific objective. • A component is a single functioning unit of a system. • Dynamic • if its present output depends on past input; <Note> if its current output depends only on current input, the system is known as static.

  4. 1-1. Introduction(Cont.) • Linear and nonlinear differential equations. • linear, time-invariant differential equation • linear, time-varying differential equation • A differential equation is called nonlinear if it is not linear.

  5. 1-1. Introduction(Cont.) • Continuous-time systems and discrete-time systems • Continuous-time systems are systems in which the signals involved are continuous in time.

  6. 1-2. Mathematical Modeling of Dynamic Systems • Mathematical modeling. • Mathematical modeling involves descriptions of important system characteristics by sets of equations. • By applying physical laws to a specific system, it may be possible to develop a mathematical model that describes the dynamics of the system.

  7. 1-2. Mathematical Modeling of Dynamic Systems(Cont.) • Mathematical modeling procedure. • Draw a schematic diagram of the system, and define variables. • Using physical laws, write equations for each component, combine them according to the system diagram, and obtain a mathematical model. • To verify the validity of the model, its predicted performance, obtained by solving the equations of the model, is compared with experimental results.

  8. 1-3. Analysis and Design of Dynamic Systems • Analysis. • Means the investigation, under specified conditions, of the performance of a system whose mathematical model is known. • Design. • Refers to the process of finding a system that accomplishes a given task. In general, the design procedure is not straightforward and will require trial and error. • Synthesis. • Using of an explicit procedure to find a system that will perform in a specified way.

  9. 1-4. Summary • The objective of this book is to enable the reader • To build mathematical models that closely represent behaviors of physical systems • To develop system responses to various inputs so that we can effectively analyze and design dynamic systems.

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