Suboptimal control of linear systems with state time-delay

In this paper, we consider the problems of suboptimal control for a class of linear systems with a constant state time-delay. We develop the method of suboptimal control based on sensitivity parameter. The two-point boundary value problem with not only time-delay terms but also time-advance terms is translated into infinite two-point boundary value problems without time-delay and time-advance terms. Through intercepting frontal finite terms of the optimal series solution, we obtain a suboptimal control law. Number of the term intercepted is dependent on the size of the time-delay. The method is especially suitable for the synthesis of small time-delay systems. The arithmetic of solving the suboptimal control law is given. The simulation results show the effectiveness of our method