Fuzzy optimal control using simple inference method and function type inference method

By considering fuzzy optimal control problems as problems of finding the minimum (maximum) value of the cost (benefit) function, the existence of fuzzy optimal control is shown by applying the simple inference method and function type inference method to fuzzy systems. To show that, we prove Lipschitz's continuity of these inference method on the state in the control and continuity of them on the fuzzy rule.