State Vector 3 Real Poles Companion Matrix, Step response and Bode Plot
This applet shows the transient behaviour of the state vector components
x1, x2 and x3 for a third order system when A is a companion matrix. The Bode plot for the output x1 is also shown.
In this case, the x1 response is the standard response for a third order system.
The x2 response is a differentiated version of the x1 response with an advance in phase and the x3 response is a differentiated version of the x2 response with an advance in phase.
The eg parameters (8.0, 1.0, 1.0, 1.0, 2.0, 0.4) show that the system is oscillatory with x2 leading x1 by 90º and x3 leading x2 by 90º.
Gif image below shows how applet should appear.
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COPYRIGHT © 2006 Cuthbert Nyack.