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)|
|Number of pages||10|
|Journal||IEE Proceedings D: Control Theory and Applications|
|State||Published - Jan 1 1980|