Abstract
The optimal satisfactory control of systems subject to external disturbance inputs is studied. The systems represented are essentially deterministic non-linear, continuous-type processes which are normally operating in the steady-state. 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 solve 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 general inequality constraints are derived to calculate the formulated optimal satisfactory control.