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LMIs in Control/LMI for Polytopic Uncertainity/Quadratic Polytopic Hinf- Optimal State Feedback Control
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The System:
Consider System with following state-space representation.
Add uncertainty to system matrices
New state-space representation
The Optimization Problem:
Recall the closed-loop in state feedback is:
This problem can be formulated as optimal state-feedback, where K is a controller gain matrix.
The LMI: An LMI for Quadratic Polytopic Optimal
State-Feedback Control
Conclusion:
The Optimal State-Feedback Controller is recovered by
Implementation:
https://github.com/JalpeshBhadra/LMI/tree/master
Related LMIs: