Design of multivariable linear‐quadratic controllers using transfer functions

Abstract Optimal linear‐quadratic (LQ) controller design is usually associated with state space techniques. However, when one has measurements of the outputs to be controlled, there are many advantages to designing these LQ controllers using input‐output transfer function models. The design procedure leads to a discrete equivalent of the Wiener‐Hopf equation, which can be solved using a spectral factorization approach. In this paper the design …