Abstract
The closed-loop optimal control of a singularly perturbed system with fixed-end-point conditions results in a special matrix Riccati equation. A singular-perturbation method is presented to analyze the Riccati equation. An algorithm is developed for obtaining the zeroth-, first- and second-order approximate solutions. An illustrative example is given. An integral-squared-error criterion is used to examine the closeness of the approximate solutions.
Original language | English (US) |
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Pages (from-to) | 194-203 |
Number of pages | 10 |
Journal | IEE Proceedings D: Control Theory and Applications |
Volume | 127 |
Issue number | 5 |
DOIs | |
State | Published - 1980 |