LMIs in Control/pages/Hinf Output Optimal Control

Optimal Output Controllability for Systems With Transients


This LMI provides an optimal output controllability problem to check if such controllers for systems with unknown exogenous disturbances and initial conditions can exist or not.


The SystemEdit

 

where   is the state,   is the exogenous input,   is the control input,   is the measured output and   is the regulated output.

The DataEdit

System matrices   need to be known. It is assumed that  .   are matrices with their columns forming the bais of kernels of   and   respectively.

The Optimization ProblemEdit

For a given  , the following   condition needs to be fulfilled:

 

The LMI: Output Feedback Controller for Systems With TransientsEdit

 

Conclusion:Edit

Solution of the above LMI gives a check to see if an   optimal output controller for systems with transients can exist or not.

ImplementationEdit

A link to CodeOcean or other online implementation of the LMI

Related LMIsEdit

Links to other closely-related LMIs

External LinksEdit


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