A class of suboptimal linear controls

A suboptimal solution of the linear regulator problem which affords some computational simplicity over the optimal solution is presented. A linear first-order matrix differential equation whose solution gives the value of the performance index for the sub-optimal control is then derived. A simple example is included to illustrate the method, and a comparison with optimal performance is made. The advantages and disadvantages of the technique are discussed, and problem areas for future study are indicated.