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State Space Analysis of Quanser Rotary Inverted Pendulum

by Sumit Tripathi

 

02 Jul 2009

Controller design based on optimal control, observability, controllablity, Lyapunov stability.

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Description

The main objective is to find a controller model which can make Inverted Pendulum upright.
The Rotary Inverted Pendulum is a classic control problem that is explored often as a project in control courses due to its easily developed dynamics combined with its complexity of control design. Although, the problem can be solved using conventional control techniques like PD/PID controllers, we will use some other powerful techniques involving state space analysis.

All m files can be run as standalone.
The file description is as follows
1) sysAnalysis_project_Sumit.pdf
Detailed explanation of methods used for all the analysis. Description of prior frame work before implementing it in MATLAB.

2) System_analysis_PROJECT_f.m
Controllability analysis, controller design by pole placement, Lyapunov stability test

3) System_analysis_deadBeat.m
Dead beat model, Lyapunov stability test

4) System_analysis_observe.m
Minimum order observer model

5)System_analysis_optimal.m
 Controller design based on quadratic optimal control

 

Required Products Control System Toolbox
MATLAB release MATLAB 7.5 (R2007b)
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Comments and Ratings (2)
16 Jul 2009 Sumit Tripathi  
04 Aug 2009 Sener

great Job, keep it up!

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Tag Activity for this File
Tag Applied By Date/Time
lyapunov Sumit Tripathi 06 Jul 2009 11:03:17
optimal control Sumit Tripathi 06 Jul 2009 11:03:17
ackermann Sumit Tripathi 06 Jul 2009 11:03:17
gramian Sumit Tripathi 06 Jul 2009 11:03:17
observer Sumit Tripathi 06 Jul 2009 11:03:17
minimum order Sumit Tripathi 06 Jul 2009 11:03:17
pole placement Sumit Tripathi 06 Jul 2009 11:03:17
observability Sumit Tripathi 06 Jul 2009 11:03:17
controllability Sumit Tripathi 06 Jul 2009 11:03:17
bibo Sumit Tripathi 06 Jul 2009 11:03:17
stability Sumit Tripathi 06 Jul 2009 11:03:17
state feedback Sumit Tripathi 06 Jul 2009 11:03:17
peak controllability Sumit Tripathi 06 Jul 2009 11:03:17
inverted pendulum Sumit Tripathi 06 Jul 2009 11:03:17
self_rating Matt Fig 16 Jul 2009 11:24:31

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