LMIs in Control/Click here to continue/Robust Controls/H2-Optimal State Feedback Synthesis

Robust H2-Optimal State Feedback Synthesis For systems with uncertain state parameters, a robust controller is needed. H2-optimal control is desirable in minimum-energy applications. The System The static formulation of the system is given as follows: Where is the state and is the input at any , , , and are rational matrices with variance . The Data The state matrices are defined as: , The LMI:H2-Optimal State Feedback Synthesis Suppose . Then the following are equivalent: 1. for all . 2. for some and such that for all and for all Conclusion: The method above can be used to find an H2-optimal robust state feedback controller for a system with uncertain parameters. Implementation This implementation requires Yalmip and Sedumi. H2-Optimal State Feedback Synthesis Related LMIs Full State Feedback Optimal H_inf LMI 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. LMIs in Control Systems: Analysis, Design and Applications - by Guang-Ren Duan and Hai-Hua Yu, CRC Press, Taylor & amp; Francis Group, 2013. Return to Main Page: LMIs in Control: https://en.wikibooks.org/wiki/LMIs_in_Control