DEADBEAT CONTROL USING PERIODIC FEEDBACK.

Current efforts to develop simple control algorithms suitable for microprocessor implementation have led to a renewed interest in the effect of periodic output feedback laws u//i equals f//i y//i , i greater than equivalent to 1 (denoted by (1)) on the closed-loop response of single-input, single-output, n-dimensional, discrete-time processes x//i// plus //1 equals Ax//i plus bu//i and y//i equals cx//i (denoted by (2)). One problem of interest is to determine the f//i so that dead-beat control results when (1) is applied to (2). More precisely, (1) is a deadbeat control law for (2) if the closed-loop state transition matrix of (2) over a period T is zero. The authors develop better bounds for T for various types of systems.