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411 REFERENCE · Wikibooks

LMIs in Control/Click here to continue/Controller synthesis/Hinf Optimal Output Controllability for Systems With Transients

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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. The System where is the state, is the exogenous input, is the control input, is the measured output and is the regulated output. The Data System matrices need to be known. It is assumed that . are matrices with their columns forming the bais of kernels of and respectively. The Optimization Problem For a given , the following condition needs to be fulfilled: The LMI: Output Feedback Controller for Systems With Transients Conclusion: Solution of the above LMI gives a check to see if an optimal output controller for systems with transients can exist or not. Implementation A link to CodeOcean or other online implementation of the LMI Related LMIs Links to other closely-related LMIs External Links LMI-based -optimal control with transients Link to the original article. Return to Main Page: