title: Optimization-based design of fixed-order controllers for command following
abstract: For discrete-time scalar systems, we propose an approach for designing feedback controllers of fixed order to minimize an upper bound on the peak magnitude of the tracking error to a given command input. The work makes use of linear programming to design over a class of closed-loop systems proposed for the rejection of non-zero initial conditions and bounded disturbances. We incorporate performance robustness in the form of a guaranteed upper bound on the peak magnitude of the tracking error under plant coprime factor uncertainty
keyphrases: optimization-based design fixed-order controllers command following discrete-time scalar systems feedback controllers tracking error linear programming closed-loop systems performance robustness guaranteed upper bound coprime factor uncertainty