LMIs in Control/Click here to continue/Optimal control systems/H2-optimal Dynamic output Feedback control

Discrete-Time H2-Optimal Dynamic Output Feedback Control A Dynamic Output feedback controller is designed for a Continuous Time system, to minimize the H2 norm of the closed loop system with exogenous input and performance output . The System Continuous-Time LTI System with state space realization The Data The matrices: System Controller The Optimization Problem The following feasibility problem should be optimized: is minimized while obeying the LMI constraints. The LMI: Solve for and that minimize subject to The controller is recovered by where, and the matrices and satisfy . If then and Given and , the matrices and can be found using a matrix decomposition, such as a LU decomposition or a Cholesky decomposition. If , and , then it is often simplest to choose in order to satisfy the equality constraint Conclusion: The Continuous-Time H2-Optimal Dynamic Output feedback controller is the system Implementation Related LMIs Discrete Time H2 Optimal Dynamic Output Feedback Control Continuous Time H∞ Optimal Dynamic Output Feedback Control External Links A list of references documenting and validating the LMI. 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. Return to Main Page: