Abstract
This paper introduces a technique for simultaneous decomposition of a non-autonomous singularly perturbed system into three subsystems namely “slow”, “fast 1” and “fast 2” respectively. Design of a composite controller in terms of the individual subsystem controllers is derived and the decomposition of the optimal control problem of the original high order system into three smaller order optimal control problems, with separate quadratic performance indexes extracted from the quadratic performance index of the original system, is discussed.
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