Simulation Engineering
In this text, the author delivers step-by-step instructions on the entire range of simulation techniques and sage insight into the related management issues.
TABLE OF CONTENTS Simulation Engineering
2.2: Dynamic Systems
2.2 Dynamic Systems
A dynamic system has behavior that evolves over time. This behavior is commonly represented by differential equations if the system is of the continuous-time type or by difference equations if the system is of the discrete-time type. I will use the phrase dynamic equations to indicate the set of differential or difference equations that describe a system's behavior.
A system is continuous-time if its dynamic equations are valid at all points in time. A discrete-time system has dynamic equations that are updated or used only at discrete points in time. A dynamic system that is modeled using both difference equations and differential equations is called a combined discrete-continuous system, or simply a combined system.
2.2.1 Continuous-Time Systems
Some examples of continuous-time dynamic behaviors include:
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the translational and rotational motion of an aircraft,
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the orbital motion of a satellite,
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the response of a robotic arm to the motion of its actuators, and
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the response of an op-amp bandpass filter to its input signal.
The behavior of these systems can be represented mathematically by differential equations. A differential equation contains an unknown function and one or more of the function's derivatives. The goal is to find the unknown function, which will determine the system behavior over time.
Systems containing distributed parameters are described using partial differential equations, which contain partial derivatives. An example of a distributed parameter system is an electrical transmission line, which has resistance and inductance distributed continuously...
Copyright Jim Ledin 2001 under license agreement with Books24x7
