Title :
Singular perturbation of linear regulators: Basic theorems
Author :
Kokotovic, Petar V. ; Yackel, Richard A.
Author_Institution :
University of Illinois, Urbana, IL, USA
fDate :
2/1/1972 12:00:00 AM
Abstract :
The behavior of the solution of the Riccati equation for the linear regulator problem with a parameter whose perturbation changes the order of the system is analyzed. Sufficient conditions are given under which the solution of the original problem tends to the solution of a low-order problem. This result can be used for the decomposition of a high-order problem into two low-order problems.
Keywords :
Controllability; Differential Riccati equations; Linear systems, time-invariant continuous-time; Observability; Optimal regulators; Perturbation methods; Riccati equations, differential; Asymptotic stability; Control systems; Differential equations; Helium; Linear systems; Performance analysis; Regulators; Riccati equations;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1099851
