Abstract
The optimal control of linear time-invariant systems relative to time-multiplied quadratic performance indices is discussed. The problem is to design a dynamic compensator by using the degree of optimality which quantitatively measures the total performance of the control system.
The necessary condition for the optimal dynamic compensator is derived.
The dynamic compensators for the second, third and fourth order plants are designed as example. It is shown in Example 1 that the 1st order dynamic compensator is sufficient to control the plants under consideration because there is little difference in the degree of optimality between the 1st order dynamic comensator and the 2nd or the 3rd order dynamic compensator. Example 2 shows that the timemutiplied quadratic performance is excellent in estimating the control schemes.
