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.
where is the state, is the exogenous input, is the control input, is the measured output and is the regulated output.
System matrices need to be known. It is assumed that . are matrices with their columns forming the bais of kernels of and respectively.
For a given , the following condition needs to be fulfilled:
The LMI: Output Feedback Controller for Systems With Transients[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.
A link to CodeOcean or other online implementation of the LMI
Links to other closely-related LMIs