Singular optimal control of solar space heating systems

In the past few years fuel prices have seen steady increases. Also, the supply of fuel has been on the decline. Because of these two problems there has been an increase in the number of solar heated homes. Since conventional fuel prices are increasing and as a solar heating system represents a high capital cost it is desirable to obtain the maximum performance from a solar heating system. The control scheme that is used on a solar heated home has an effect on the performance of the solar system. The best control scheme possible would, of course, be desired. This paper deals with the control problems of a solar heated home. The basic problem is to control the inside temperature of the building and to minimize the fuel consumption. This problem applies to both a solar heated home and a conventionally heated home.