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The optimal satisfactory control of systems subject to external disturance inputs is studied. The systems represented are essentially deterministic nonlinear, continuous-type processes which are normally operating in the steadystate. The objective is on-line static optimization according to an economic performance criterion. The optimal satisfactory control is formulated by combining concept of satisfactory control and concept of optimal control. In order to obtain the optimal satisfactory control , several theories and techniques of decision making under uncertainties are developed to obtain necessary conditions for maximizing system performance. The Lagrange multiplier techniques for game solving under inequality constraints are derived to solve the formulated optimal satisfactory control.

Optimal Satisfactory Control: Formulation and Analysis by Lagrangian Technique