LMIs in Control/pages/dt mixed H2 Hinf optimal dynamic output feedback control

WIP, Description in progress This part shows how to design dynamic outpur feedback control in mixed and sense for the discrete time . Problem Consider the discrete-time generalized LTI plant with minimal state-space realization Theorem A discrete-time dynamic output feedback LTI controller with state-space realization is to be designed to minimize the norm of the closed loop transfer matrix from the exogenous input to the performance output while ensuring the norm of the closed-loop transfer matrix from the exogenous input to the performance output is less than , where , , , , , , and . Synthesis Method Solve for and that minimizes subjects to tr The controller is recovered by , 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 then it is often simplest to choose in order to satisfy the equality constraint . WIP, additional references to be added External Links A list of references documenting and validating the LMI. Return to Main Page: