Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

ZigangPan/ LinearSystems

This Paclet is on LTI systems for the ultimate goal of a robust MRAC for minimum phase linear systems

Contributed by: Zigang Pan

This paclet is for the analysis of continuous-time finite-dimensional linear time-invariant systems in state space representation. It uses a special ten item list to represent a LTI system, which include the system state names, the input names, output names, the system matrix in ArrayFlatten[{{A,B},{C D}}] form, the indices of active inputs, the indices of active outputs, the indices of control inputs, the indices of disturbance inputs, the indices of measurement outputs, and the indices of controlled outputs. With this system representation, one can do all sorts of things to analyse the system.

Installation Instructions

To install this paclet in your Wolfram Language environment, evaluate this code:
PacletInstall["ZigangPan/LinearSystems"]


To load the code after installation, evaluate this code:
Needs["ZigangPan`LinearSystems`"]

Paclet Guide

Examples

Initialization for Examples

In[1]:=
Needs["ZigangPan`LinearSystems`"];

Basic Examples

In[2]:=
system1 = {{x1, x2, x3}, {u1, u2, w1, w2, w3}, {y1, y2, z1, z2, z3}, RandomInteger[{-2, 2}, {8, 8}], {1, 2}, {1, 2}, {1, 2}, {3, 4, 5}, {1, 2}, {3, 4, 5}}
Out[2]=
In[3]:=
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Out[3]=
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In[5]:=
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Out[7]=
In[8]:=
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Publisher

Zigang Pan

Disclosures

Version History

  • 1.0.5 – 29 November 2024
  • 1.0.4 – 04 November 2024
  • 1.0.2 – 30 October 2024
  • 1.0.1 – 29 October 2024
  • 1.0.0 – 29 October 2024

License Information

MIT License

Paclet Source

See Also