Modeling and Analysis of Dynamic Systems, 3rd Edition
August 2001, ©2002
The third edition of Modeling and Anaysis of Dynamic Systems continues to present students with the methodology applicable to the modeling and analysis of a variety of dynamic systems, regardless of their physical origin. It includes detailed modeling of mechanical, electrical, electro-mechanical, thermal, and fluid systems.
Models are developed in the form of state-variable equations, input-output differential equations, transfer functions, and block diagrams. The Laplace transform is used for analytical solutions. Computer solutions are based on MATLAB and Simulink. Examples include both linear and nonlinear systems. An introduction is given to the modeling and design tools for feedback control systems.
The text offers considerable flexibility in the selection of material for a specific course. Students majoring in many different engineering disciplines have used the text. Such courses are frequently followed by control-system design courses in the various disciplines.
Translational Mechanical Systems.
Standard Forms for System Models.
Block Diagrams and Computer Simulation.
Rotational Mechanical Systems.
Transform Solutions of Linear Models.
Transform Function Analysis.
Developing a Linear Model.
Block Diagrams for Dynamic Systems.
Modeling, Analysis, and Design Tools.
Feedback Design with MATLAB.
Appendix A: Units.
Appendix B: Matrices.
Appendix C: Complex Algebra.
Appendix D: Classical Solution of Differential Equations.
Appendix E: Laplace Transforms.
Appendix F: Selected Reading.
Appendix G: Answers to Selected Problems.
- Computer methods using MATLAB and Simulink are introduced in a completely new Chapter 4 and used throughout the rest of the book. Although the new edition can still be used without detailed computer work, the inclusion of such methods enhances the understanding of important concepts, permits more interesting examples, allows the early use of computer projects, and prepares the students for real-life work.
- The Laplace transform method is used earlier for the analytical solution of linear models, starting in Chapters 7 and 8, rather than being preceded by a lengthy discussion of classical time-domain techniques (which are now relegated to an appendix). The authors illustrate major concepts (such as transient, steady-state, zero-state, and zero-input responses; step, impulse, and ramp responses; time constants, damping ratio, and undamped natural frequency; and complex-plane plots) in the context of Laplace transform solutions. There is also a heightened emphasis on the central role of the transfer function, as a unifying theme for system properties and responses. Section 6.1 of the second edition was moved to the Appendix in this edition. The remaining material in chapter 6 was combined into the rebuilt Chapters 7 and 8.
- The material leading to the analysis and design of feedback systems in Chapters 13, 14, and 15 has been reorganized around the use of computer tools. The block diagrams of Chapter 13 lead to the computer tools introduced in Chapter 14. These tools are then used in Chapter 15 to show design methods for control systems. The authors point out where design choices are required and show how to use these tools to help make such choices.
- The authors have removed material that instructors did not often use and have streamlined some of the other treatments. An example is the elimination of the detailed pencil-and-paper solutions of matrix equations. At the same time, they have added material, such as a new appendix on complex algebra, where some students may be weak.
- A unified approach to the modeling of physical systems -- always identifies the element laws and interconnection laws. This approach makes learning new systems easier because the nature of the information to be learned is already known from previous systems studied. Engineering practice rarely involves a single discipline, and familiarity with other disciplines makes it easier to work with engineers from a different discipline. This approach prepares students for the fact that real-life systems usually include features/components from many of the traditional disciplines.
- Teaches by example. Many concepts are more difficult to explain in the abstract than to simply present an example or two, and then articulate the general rule. Teaching by example is supported by more that 160 worked out examples embedded in the expository material of the text. Theoretical concepts are made concrete by example as soon as they are introduced. This can be seen in chapter 2, where there are eleven examples dealing with translational mechanical systems.
- Extensive use of MATLAB and Simulink. Simulink allows the response to be studied without having to perform an analytical solution to the modeling equations. Later, when introducing the design of feedback systems, MATLAB is used to explore different design alternatives. They point out where design choices are required and show how to use the computer tools to help make such choices. For the student, realistic problems can be easily solved to provide results that promote better understanding of the system being modeled.