Riassunto
Simulation is increasingly important for students in a wide variety of fields, from engineering and physical sciences to medicine, biology, economics, and applied mathematics. Current trends point toward interdisciplinary courses in simulation intended for all students regardless of their major, but most textbooks are subject-specific and consequently are not suitable for such a course. Simulation of Dynamic Systems with MATLAB® and Simulink® offers a unified introduction to continuous simulation that focuses on the common principles underlying the vast array of simulation models that describe very different phenomena. Written by accomplished expert Harold Klee, this text builds an in-depth and intuitive understanding of the basic concepts and mathematical tools that students can easily generalize to their own field of study. The author includes case studies, real-world examples, abundant homework problems, and thousands of equations to develop a practical understanding of the concepts. Moreover, he incorporates MATLAB® and Simulink® tools to help students gain experience with designing, implementing, and adjusting their simulations. This classroom-tested text works systematically through linear, continuous-time, and discrete-time dynamic systems as well as basic, intermediate, and advanced topics in numerical integration. Supplying downloadable MATLAB M-files and Simulink model files, Simulation of Dynamic Systems with MATLAB® and Simulink® is ideal for a one- or two-semester course in continuous simulation, offering valuable flexibility for instructors.
Contenuti
MATHEMATICAL MODELING
Introduction
Derivation of a Mathematical Model
Difference Equations
A First Look at Discrete-Time Systems
Case Study- Population Dynamics (Single Species)
CONTINUOUS-TIME SYSTEMS
Introduction
First-Order Systems
Second-Order Systems
Simulation Diagrams
Higher Order Systems
State Variables
Nonlinear Systems
Case Study- Submarine Depth Control System
ELEMENTARY NUMERICAL INTEGRATION
Introduction
Discrete-Time System Approximation of a Continuous-Time Integrator
Euler Integration
Trapezoidal Integration
Numerical Integration of First Order and Higher Continuous-Time Systems
Improvements to Euler Integration
Case Study- Vertical Ascent of a Diver
LINEAR SYSTEMS ANALYSIS
Introduction
The Laplace Transform
The Transfer Function
Stability of LTI Continuous-Time Systems
Frequency Response of LTI Continuous-Time Systems
The z-Transform
The z-Domain Transfer Function
Stability of LTI Discrete-Time Systems
Frequency Response of Discrete-Time Systems
The Control System Toolbox
Case Study- Longitudinal Control of an Aircraft
Case Study- Notch Filter for ECG Waveform
SIMULINK
Introduction
Building a Simulink Model
Simulation of Linear Systems
Algebraic Loops
More Simulink Blocks
Subsystems
Discrete-Time Systems
MATLAB/Simulink Interface
Hybrid Systems-Continuous-Time and Discrete-Time Components
Monte Carlo Simulation
Case Study- Pilot Ejection
INTERMEDIATE NUMERICAL INTEGRATION
Introduction
Runga-Kutta (One-Step Methods)
Adaptive Techniques
Multistep Methods
Stiff Systems
Lumped Parameter Approximation of Distributed Parameter Systems
Systems with Discontinuities
Case Study- Spread of an Epidemic
SIMULATION TOOLS
Introduction
Steady-State Solver
Optimization of Simulink Models
Linearization
ADVANCED NUMERICAL INTEGRATION
Introduction
Dynamic Errors (Characteristic Roots, Transfer Function)
Stability of Numerical Integrators
Multirate Integration
Real-Time Simulation
Additional Methods of Approximating Continuous-Time System Models
REFERENCES
INDEX
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