LMIs in Control/pages/Quadratic polytopic stabilization

A Quadratic Polytopic Stabilization Controller Synthesis can be done using this LMI, requiring the information about , , and matrices. The System where , , at any . The system consist of uncertainties of the following form where ,, and The Data The matrices necessary for this LMI are , , and The Optimization and LMI:LMI for Controller Synthesis using the theorem of Polytopic Quadratic Stability There exists a K such that is quadratically stable for if and only if there exists some P>0 and Z such that Conclusion: The Controller gain matrix is extracted as Note that here the controller doesn't depend on If you want K to depend on , the problem is harder. But this would require sensing in real-time. Implementation This implementation requires Yalmip and Sedumi. https://github.com/JalpeshBhadra/LMI/blob/master/quadraticpolytopicstabilization.m Related LMIs Quadratic Polytopic Controller Quadratic Polytopic Controller External Links LMI Methods in Optimal and Robust Control - A course on LMIs in Control by Matthew Peet. LMI Properties and Applications in Systems, Stability, and Control Theory - A List of LMIs by Ryan Caverly and James Forbes. LMIs in Systems and Control Theory - A downloadable book on LMIs by Stephen Boyd.