Automatica, Vol.38, No.9, 1615-1619, 2002
Optimization-based design of fixed-order controllers for command following
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 recently 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.
Keywords:discrete-time systems;linear programming;tracking;fixed-order controllers;l(infinity)-optimization;robust performance