Abstract
In this paper Optimal Control Problems (OCP) of both linear and nonlinear type with lumped parameters are considered. Continuous OCP with single or multiple objectives are transformed to finite dimensional optimization problems through discretization. The formulation of Goal Optimal Control Problem (GOCP) using Goal Programming methodology, first given by Levary (1986) for equal time subintervals is extended for unequal subintervals, by a generalized formulation. The concept of local and global goals proposed here is very useful for multicriteria dynamic optimization problems. In several physical situations OCP involve fuzziness in their goals, priorities, parameters or relative weights and associated linguistic variables, etc. A new formulation of OCP in Fuzzy Environment is given as a Fuzzy Goal Optimal Control Problem (FGOCP) and the solution procedure is illustrated by linear and nonlinear examples.
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