Discontinuous System Variables in the Optimum Control of Second Order Oscillatory

When controlling the performance of a system, it is often desirable to choose the control that will minimize errors in the system and do it in the shortest possible time. A practical matter that must be considered in the optimization in relation to rapid action is the fact that control is of a bounded nature. In a great many important cases, the constraint on the magnitude of the control effort precludes the use of classical variational techniques to design the controller.