Covariance controllers: A new parameterization of the class of all stabilizing controllers
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abstract
The authors characterize the set of all covariances that a linear system may possess, and parameterize in closed form the set of all controllers assigning these covariances to the closed-loop system. Closed form is defined to mean the controller is explicit in the parameters of the plant, with no eigenproblems or Lyapunov or Riccati equations to solve. The main results are the existence conditions for a controller of order n c that will assign X to the closed-loop system, and the characterization of all controllers which can assign X to the system.
