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LMIs in Control/page/Quadratic Polytopic Hinf- Optimal State Feedback Control/
The System:
Consider System with following state-space representation.
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Add uncertainty to system matrices
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New state-space representation
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The Optimization Problem:
Recall the closed-loop in state feedback is:
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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: