Abstract
The objective of this paper is to study the near–optimum regulators for multi–time scale singularly perturbed systems. This is accomplished by using a slow and fast mode decomposition which provides three lower order control problems in different time scales. The near–optimal control for the overall control system is obtained in terms of the optimal control laws for three lower order control problems. Furthermore, the near–optimal performance index of the original control problem is obtained in terms of the lower order control problems in separate time scales
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