Abstract
In this paper, we study a method for designing a state feedback control law which can assign the zero locations concurrently with possessing integrity of a system against the failure in the specified input channels. The basic idea of the zero assignment is to transform a part of the system matrix to an upper triangular matrix. In this control system, the zeros can be assigned by control input in the connected channels and the zeros of the remaining disconnected channels can be fixed. A state feedback control law in a part of input channels is so synthesized as to attain the zero assignment and to preserve the controllability of the closed loop system. With the help of the controllability of the closed loop, we can cope with the integrity problem irrespective of the zero assign strategy by means of another state feedback control law in the remaining input channels. A numerical example illustrates the effectiveness of the results.
