Example of a State Observer of a State Space System in Simulink

An example of an observer design for an observable state space system.


Updated 5 Jul 2016

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This example simulates a simple 2-dimensional state space system. For this system, we construct an observer that starts from different initial values for the states, but manages after a short period to observe the statees of the system (i.e. the error between real and simulated state goes to zero).
The user may try different initial values for the plant and the observer or different inputs (step, ramp, sinusoid). The observer always manages to minimize the error!
Additionally, the user may try a different output feedback matrix L. For example, if we choose the poles of the observer to be near the imaginary axis, then the observation will take longer time to "reach" the actual states of the plant (i.e. ti will take longer time for the error to be eliminated).
This is included in [1].
[1] An introduction to Control Theory Applications Using Matlab, https://www.researchgate.net/publication/281374146_An_Introduction_to_Control_Theory_Applications_with_Matlab
[2] K. Ogata. Modern Control Engineering 5th ed. 2009. Prentice Hall.

Cite As

Lazaros Moysis (2023). Example of a State Observer of a State Space System in Simulink (https://www.mathworks.com/matlabcentral/fileexchange/50829-example-of-a-state-observer-of-a-state-space-system-in-simulink), MATLAB Central File Exchange. Retrieved .

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Created with R2013a
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Updated bibliography