Abstract
A method of optimization is studied by using the Maximum Principle technique in which the plant parameters are treated as additional state variables that are constant but unknown in advance in defined time region. The transversality conditions on some manifolds formed by initial or final conditions and parameter constraints can give necessary conditions for the optimal parameters. The necessary conditions are derived in the following three cases.
1) plant parameters have some equality constraints.
2) the magnitudes of plant parameters are bounded.
3) or perfectly arbitrary.
Several examples and an appication to an interacting control system are disscussed to optimize their free parameter values.
