Near-optium regulators for stochastic singularly perturbed systems
Authors:
G. S. Ladde a;
O. Sirisaengtaksin b
| Affiliations: | a Department of Mathematics, The University of Texas at Arlington, Arlington, Texas |
| b Department of Applied Mathematical Sciences, University of Houston-Downton, Houston, Texas |
DOI:
10.1080/07362998808809134
Publication Frequency:
6 issues per year
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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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