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Abstract Considerahle attention has been gIven to the problem of driving an arbitrary initial state of the discrete-time linear systems to a desired state in minimum time. Systems of this type are commonly referred to as deadbeat control systems. Deadbeat control is still an open topic, and many algorithms are developed to achieve this goal using state or output feedback. The deadbeat control problem is treated in this thesis for linear time-invariant and linear time¬varying (periodic) discrete-time systems. High degree of design freedom is available in the periodic feedback control law. This enables the designer to choose the generalized eigenvectors of the closed-loop system matrix to improve performance specifications, such as robustness, sensitivity, and shaping of transient response. Two algorithms are presented in this thesis; one of them computes a periodic output feedback law for the deadbeat control of time- invariant systems, and the other computes a periodic state feedback law for the deadbeat control of periodic systems. Examples are worked out to demonstrate the feasibility of these algorithms. |