Synthesis of a Near Time-Optimal Controller for Certain Second-Order Linear Systems Having Delay in the Control Action

This paper treats the problem of obtaining the switching curve in designing time-optimal controllers for processes containing a time delay. This method differs from previous approaches in that it eliminates the need for solving differential difference equations. A synthesis procedure is outlined. An example is worked which points out the simplicity of the method. Several initial states are considered which show the regions of optimal control and those of suboptimal control.