R. Yackel, P.V. Kokotović
Abstract
An asymptotic expansion method is developed for a singularly perturbed matrix Riccati equation. The method reduces the system order and avoids difficulties with numerically stiff problems. It can be used in the design of regulator and estimator systems with small parameters.
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An asymptotic expansion method is developed for a singularly perturbed matrix Riccati equation. The method reduces the system order and avoids difficulties with numerically stiff problems. It can be used in the design of regulator and estimator systems with small parameters.
Key concepts: Riccati equation, Algebraic Riccati equation, Linear-quadratic regulator, Mathematics, Matrix (chemical analysis), Boundary (topology), Estimator, Applied mathematics