LMIs in Control/pages/Hinf Output Optimal Control

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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 System[edit | edit source]

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

The Data[edit | edit source]

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 Problem[edit | edit source]

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

The LMI: Output Feedback Controller for Systems With Transients[edit | edit source]

Conclusion:[edit | edit source]

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

Implementation[edit | edit source]

A link to CodeOcean or other online implementation of the LMI

Related LMIs[edit | edit source]

Links to other closely-related LMIs

External Links[edit | edit source]

Return to Main Page:[edit | edit source]