Stabilization of singularly perturbed linear time-invariant systems using low-order observers

Singularly perturbed linear time invariant systems with inadequately modeled, but stable fast dynamics are considered. Conditions are formulated under which a reduced-order observer can be designed for estimating the "slow" states from a knowledge of only the degenerate model. A design met...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1981-04, Vol.26 (2), p.510-513
Main Authors: Saksena, V., Cruz, J.
Format: Article
Language:English
Subjects:
Automatic control
Cost function
Eigenvalues and eigenfunctions
Optimal control
Stability
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Summary:Singularly perturbed linear time invariant systems with inadequately modeled, but stable fast dynamics are considered. Conditions are formulated under which a reduced-order observer can be designed for estimating the "slow" states from a knowledge of only the degenerate model. A design methodology, which is robust with respect to the neglected "fast" dynamics, is presented for stabilizing systems satisfying these conditions. Finally, an illustrative example for the autopilot-actuator system design for controlling the lateral motion of an aircraft is given.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1981.1102615