Abstract
A design method of the new simple adaptive control systems is presented in this paper. In that adaptive scheme, the structure of overall control systems does not become so complex as relative degrees of controlled processes grow larger, and the stability conditions of error systems are explicitly reduced to the proper choices of two design parameters (one parameter should be sufficiently large, and the other should be sufficiently small). In the ideal case where no unstructured uncertainty exists, it is shown that overall systems are globally bounded and that the magnitude of output errors can be made arbitrary small by adjusting one of those two design parameters. Since adaptive laws of projection type are included in that method, semiglobal boundedness of overall systems is assured for small unstructured uncertainties.