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MATHEMATICA GUIDE
Control Systems
Mathematica provides an extensive suite of built-in functionality to carry out analysis, design, and simulation of continuous- and discrete-time control systems using both classical and modern techniques. Building on Mathematica's proven symbolic architecture, state-space and transfer function models can be represented in symbolic as well as numeric form, yielding closed-form symbolic solutions where traditional tools only provide numerical answers. All built-in numerical solvers use Mathematica's hybrid symbolic-numeric approach and highly efficient numerical algorithms.
Featured Examples |
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A Mechanical System with Algebraic Constraints
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A Neutral Time-Delay System
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Approximate a Time-Delay Model for a Lathe
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Build Regulators and Observers for Systems
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Connect Two Systems in Parallel
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Construct a Kalman Filter for a Stochastic System
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Create an Interactive Root Locus Plot
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Create Bode Plots
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Create Nichols Plots
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Create Nyquist Plots
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Create Root Locus Plots
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Descriptor Systems
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Design a Feedback Controller for a Descriptor System
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Design a Smith Predictor for a Tank Reactor
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Determine System Stability Using Built-in Functions
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Model the Relative Motion between Satellites in Orbit
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Obtain the Responses of Subsystems
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PID Controller Architectures
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PID Tuning Rules
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Proportional-Derivative Controller
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Regulate an Inverted Pendulum
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Second-Order System Step Response
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Solve the Dead Beat Control Problem
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Specify Models of Linear, Time-Invariant Systems in Natural Form
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Study the Frequency Response of Multivariable Systems
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The Frequency Response of a Crankshaft
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Visualize the Relative Stability of Systems
