Simultaneous pole placement and optimal state or output feedback controller design

In this paper, inverse optimal control theory is used to design a state or an output feedback controller that both places the closed loop poles at desired positions and satisfies a linear quadratic criterion. The design method consists of two steps, first n-m poles are precisely placed and second the remaining m poles are selected to satisfy optimality criteria, where n is the number of the system states and m is the number of system inputs. An illustrative example demonstrates the proposed algorithm. Key-Words: Inverse optimal control, pole placement techniques, controller design, state, output feedback.