Closed-loop optimal control of continuous systems

Abstract

In this chapter, we intend to use Vasileva's method (Vasileva, 1963; Wasow, 1965) where the approximate solution is made up of an outer series, inner series and intermediate series. It should be noted that, as shown in Chapter 2, the boundary-layer correction is equivalent to the difference between the inner and intermediate series. However, in working out a large number of control problems by Vasileva's method and the boundary-layer method (Naidu, 1977), it has been found that the former has computational advantages, especially in the case of nonlinear equations as will be apparent at the end of this Chapter. Thus, the contents of this Chapter depend mainly on results from Naidu (1977), Naidu and Rajagopalan (1980) and Rajagopalan and Naidu (19806).